---
_id: '9462'
abstract:
- lang: eng
text: We consider a system of N trapped bosons with repulsive interactions in a
combined semiclassical mean-field limit at positive temperature. We show that
the free energy is well approximated by the minimum of the Hartree free energy
functional – a natural extension of the Hartree energy functional to positive
temperatures. The Hartree free energy functional converges in the same limit to
a semiclassical free energy functional, and we show that the system displays Bose–Einstein
condensation if and only if it occurs in the semiclassical free energy functional.
This allows us to show that for weak coupling the critical temperature decreases
due to the repulsive interactions.
acknowledgement: Funding from the European Union's Horizon 2020 research and innovation
programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie
grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support
of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.
article_number: '109096'
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
full_name: Deuchert, Andreas
last_name: Deuchert
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Seiringer R. Semiclassical approximation and critical temperature
shift for weakly interacting trapped bosons. Journal of Functional Analysis.
2021;281(6). doi:10.1016/j.jfa.2021.109096
apa: Deuchert, A., & Seiringer, R. (2021). Semiclassical approximation and critical
temperature shift for weakly interacting trapped bosons. Journal of Functional
Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109096
chicago: Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and
Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal
of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.
ieee: A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature
shift for weakly interacting trapped bosons,” Journal of Functional Analysis,
vol. 281, no. 6. Elsevier, 2021.
ista: Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature
shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6),
109096.
mla: Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical
Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional
Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.
short: A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
date_created: 2021-06-06T22:01:28Z
date_published: 2021-09-15T00:00:00Z
date_updated: 2023-08-08T13:56:27Z
day: '15'
department:
- _id: RoSe
doi: 10.1016/j.jfa.2021.109096
ec_funded: 1
external_id:
arxiv:
- '2009.00992'
isi:
- '000656508600008'
intvolume: ' 281'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2009.00992
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Journal of Functional Analysis
publication_identifier:
eissn:
- 1096-0783
issn:
- 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Semiclassical approximation and critical temperature shift for weakly interacting
trapped bosons
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 281
year: '2021'
...
---
_id: '9891'
abstract:
- lang: eng
text: 'Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127
(2019)], we present a modified “floating crystal” trial state for jellium (also
known as the classical homogeneous electron gas) with density equal to a characteristic
function. This allows us to show that three definitions of the jellium energy
coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache
[“Equality of the Jellium and uniform electron gas next-order asymptotic terms
for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb,
and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide
in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized
energy” studied in a series of papers by Serfaty and others, and thus, by the
work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate
the jellium energy to the order n term in the logarithmic energy of n points on
the unit 2-sphere. We improve upon known lower bounds for this renormalized energy.
Additionally, we derive formulas for the jellium energy of periodic configurations.'
acknowledgement: The author would like to thank Robert Seiringer for guidance and
many helpful comments on this project. The author would also like to thank Mathieu
Lewin for his comments on the manuscript and Lorenzo Portinale for providing his
lecture notes for the course “Mathematics of quantum many-body systems” in spring
2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these
lecture notes.
article_number: '083305'
article_processing_charge: No
article_type: original
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494
apa: Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494
chicago: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021.
https://doi.org/10.1063/5.0053494.
ieee: A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,”
Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.
ista: Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. 62(8), 083305.
mla: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305,
AIP Publishing, 2021, doi:10.1063/5.0053494.
short: A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).
date_created: 2021-08-12T07:08:36Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2023-08-11T10:29:48Z
day: '01'
ddc:
- '530'
department:
- _id: GradSch
- _id: RoSe
doi: 10.1063/5.0053494
external_id:
arxiv:
- '2103.07975'
isi:
- '000683960800003'
file:
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content_type: application/pdf
creator: cziletti
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- Statistical and Nonlinear Physics
language:
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month: '08'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
issn:
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publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Floating Wigner crystal and periodic jellium configurations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2021'
...
---
_id: '10224'
abstract:
- lang: eng
text: We investigate the Fröhlich polaron model on a three-dimensional torus, and
give a proof of the second-order quantum corrections to its ground-state energy
in the strong-coupling limit. Compared to previous work in the confined case,
the translational symmetry (and its breaking in the Pekar approximation) makes
the analysis substantially more challenging.
acknowledgement: "Funding from the European Union’s Horizon 2020 research and innovation
programme under the ERC grant agreement No 694227 is gratefully acknowledged. We
would also like to thank Rupert Frank for many helpful discussions, especially related
to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding
provided by Institute of Science and Technology (IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum
corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis.
2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7'
apa: 'Feliciangeli, D., & Seiringer, R. (2021). The strongly coupled polaron
on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational
Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01715-7'
chicago: 'Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron
on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational
Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7.'
ieee: 'D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus:
Quantum corrections to the Pekar asymptotics,” Archive for Rational Mechanics
and Analysis, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.'
ista: 'Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus:
Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and
Analysis. 242(3), 1835–1906.'
mla: 'Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on
the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational
Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906,
doi:10.1007/s00205-021-01715-7.'
short: D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis
242 (2021) 1835–1906.
date_created: 2021-11-07T23:01:26Z
date_published: 2021-10-25T00:00:00Z
date_updated: 2023-08-14T10:32:19Z
day: '25'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00205-021-01715-7
ec_funded: 1
external_id:
arxiv:
- '2101.12566'
isi:
- '000710850600001'
file:
- access_level: open_access
checksum: 672e9c21b20f1a50854b7c821edbb92f
content_type: application/pdf
creator: alisjak
date_created: 2021-12-14T08:35:42Z
date_updated: 2021-12-14T08:35:42Z
file_id: '10544'
file_name: 2021_Springer_Feliciangeli.pdf
file_size: 990529
relation: main_file
success: 1
file_date_updated: 2021-12-14T08:35:42Z
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intvolume: ' 242'
isi: 1
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language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1835–1906
project:
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call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
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issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '9787'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: 'The strongly coupled polaron on the torus: Quantum corrections to the Pekar
asymptotics'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 242
year: '2021'
...
---
_id: '10537'
abstract:
- lang: eng
text: We consider the quantum many-body evolution of a homogeneous Fermi gas in
three dimensions in the coupled semiclassical and mean-field scaling regime. We
study a class of initial data describing collective particle–hole pair excitations
on the Fermi ball. Using a rigorous version of approximate bosonization, we prove
that the many-body evolution can be approximated in Fock space norm by a quasi-free
bosonic evolution of the collective particle–hole excitations.
acknowledgement: NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM).
RS was supported by the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was
supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the
European Research Council (ERC) under the European Union’s Horizon 2020 research
and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported
by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical
and energetic properties of Bose-Einstein condensates,” and the European Research
Council (ERC) under the European Union’s Horizon 2020 research and innovation program
through the ERC-AdG CLaQS (Grant Agreement No. 834782).
article_processing_charge: No
article_type: original
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Phan Thành
full_name: Nam, Phan Thành
last_name: Nam
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic
many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y
apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R.
(2021). Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.
Springer Nature. https://doi.org/10.1007/s00023-021-01136-y
chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales
Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.
ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization
of fermionic many-body dynamics,” Annales Henri Poincaré. Springer Nature,
2021.
ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization
of fermionic many-body dynamics. Annales Henri Poincaré.
mla: Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.”
Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.
short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri
Poincaré (2021).
date_created: 2021-12-12T23:01:28Z
date_published: 2021-12-02T00:00:00Z
date_updated: 2023-08-17T06:19:14Z
day: '02'
department:
- _id: RoSe
doi: 10.1007/s00023-021-01136-y
ec_funded: 1
external_id:
arxiv:
- '2103.08224'
isi:
- '000725405700001'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2103.08224
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bosonization of fermionic many-body dynamics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '7901'
abstract:
- lang: eng
text: We derive rigorously the leading order of the correlation energy of a Fermi
gas in a scaling regime of high density and weak interaction. The result verifies
the prediction of the random-phase approximation. Our proof refines the method
of collective bosonization in three dimensions. We approximately diagonalize an
effective Hamiltonian describing approximately bosonic collective excitations
around the Hartree–Fock state, while showing that gapless and non-collective excitations
have only a negligible effect on the ground state energy.
acknowledgement: We thank Christian Hainzl for helpful discussions and a referee for
very careful reading of the paper and many helpful suggestions. NB and RS were supported
by the European Research Council (ERC) under the European Union’s Horizon 2020 research
and innovation programme (grant agreement No. 694227). Part of the research of NB
was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and
Peter Otte for explanations about the Luttinger model. PTN has received funding
from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under
Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support
from the European Research Council (ERC) under the European Union’s Horizon 2020
research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901).
BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss
National Science Foundation through the Grant “Dynamical and energetic properties
of Bose-Einstein condensates” and from the European Research Council through the
ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for
workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz
Association). NB, PTN, BS, and RS acknowledge support for workshop participation
from Fondation des Treilles.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Phan Thành
full_name: Nam, Phan Thành
last_name: Nam
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy
of a weakly interacting Fermi gas. Inventiones Mathematicae. 2021;225:885-979.
doi:10.1007/s00222-021-01041-5
apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R.
(2021). Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae.
Springer. https://doi.org/10.1007/s00222-021-01041-5
chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.”
Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.
ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation
energy of a weakly interacting Fermi gas,” Inventiones Mathematicae, vol.
225. Springer, pp. 885–979, 2021.
ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation
energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.
mla: Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi
Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979,
doi:10.1007/s00222-021-01041-5.
short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones
Mathematicae 225 (2021) 885–979.
date_created: 2020-05-28T16:48:20Z
date_published: 2021-05-03T00:00:00Z
date_updated: 2023-08-21T06:30:30Z
day: '03'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00222-021-01041-5
ec_funded: 1
external_id:
arxiv:
- '2005.08933'
isi:
- '000646573600001'
file:
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checksum: f38c79dfd828cdc7f49a34b37b83d376
content_type: application/pdf
creator: dernst
date_created: 2022-05-16T12:23:40Z
date_updated: 2022-05-16T12:23:40Z
file_id: '11386'
file_name: 2021_InventMath_Benedikter.pdf
file_size: 1089319
relation: main_file
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file_date_updated: 2022-05-16T12:23:40Z
has_accepted_license: '1'
intvolume: ' 225'
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language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 885-979
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Inventiones Mathematicae
publication_identifier:
eissn:
- 1432-1297
issn:
- 0020-9910
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Correlation energy of a weakly interacting Fermi gas
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 225
year: '2021'
...
---
_id: '7900'
abstract:
- lang: eng
text: Hartree–Fock theory has been justified as a mean-field approximation for fermionic
systems. However, it suffers from some defects in predicting physical properties,
making necessary a theory of quantum correlations. Recently, bosonization of many-body
correlations has been rigorously justified as an upper bound on the correlation
energy at high density with weak interactions. We review the bosonic approximation,
deriving an effective Hamiltonian. We then show that for systems with Coulomb
interaction this effective theory predicts collective excitations (plasmons) in
accordance with the random phase approximation of Bohm and Pines, and with experimental
observation.
article_number: '2060009'
article_processing_charge: No
article_type: original
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
citation:
ama: Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in
Mathematical Physics. 2021;33(1). doi:10.1142/s0129055x20600090
apa: Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. Reviews
in Mathematical Physics. World Scientific. https://doi.org/10.1142/s0129055x20600090
chicago: Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews
in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/s0129055x20600090.
ieee: N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews
in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.
ista: Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews
in Mathematical Physics. 33(1), 2060009.
mla: Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews
in Mathematical Physics, vol. 33, no. 1, 2060009, World Scientific, 2021,
doi:10.1142/s0129055x20600090.
short: N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).
date_created: 2020-05-28T16:47:55Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-09-05T16:07:40Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/s0129055x20600090
ec_funded: 1
external_id:
arxiv:
- '1910.08190'
isi:
- '000613313200010'
intvolume: ' 33'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.08190
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bosonic collective excitations in Fermi gases
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 33
year: '2021'
...
---
_id: '10852'
abstract:
- lang: eng
text: ' We review old and new results on the Fröhlich polaron model. The discussion
includes the validity of the (classical) Pekar approximation in the strong coupling
limit, quantum corrections to this limit, as well as the divergence of the effective
polaron mass.'
acknowledgement: This work was supported by the European Research Council (ERC) under
the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo.
694227).
article_number: '2060012'
article_processing_charge: No
article_type: original
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics.
2021;33(01). doi:10.1142/s0129055x20600120
apa: Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120
chicago: Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical
Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.
ieee: R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical
Physics, vol. 33, no. 01. World Scientific Publishing, 2021.
ista: Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical
Physics. 33(01), 2060012.
mla: Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical
Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.
short: R. Seiringer, Reviews in Mathematical Physics 33 (2021).
date_created: 2022-03-18T08:11:34Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-09-05T16:08:02Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/s0129055x20600120
ec_funded: 1
external_id:
arxiv:
- '1912.12509'
isi:
- '000613313200013'
intvolume: ' 33'
isi: 1
issue: '01'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
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url: https://arxiv.org/abs/1912.12509
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The polaron at strong coupling
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 33
year: '2021'
...
---
_id: '9225'
abstract:
- lang: eng
text: "The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere,
we provide a class of initial data for which the associated effective Hamiltonian\r\nhas
a uniform spectral gap for all times. For such initial data, this allows us to
extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations
and their derivation\r\nfrom the Fröhlich model obtained in previous works to
larger times."
acknowledgement: Funding from the European Union’s Horizon 2020 research and innovation
programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the
Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.
Open Access funding provided by Institute of Science and Technology (IST Austria)
article_number: '19'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap
for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111.
doi:10.1007/s11005-020-01350-5
apa: Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence
of the spectral gap for the Landau–Pekar equations. Letters in Mathematical
Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5
chicago: Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer.
“Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in
Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.
ieee: D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the
spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics,
vol. 111. Springer Nature, 2021.
ista: Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral
gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.
mla: Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar
Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature,
2021, doi:10.1007/s11005-020-01350-5.
short: D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical
Physics 111 (2021).
date_created: 2021-03-07T23:01:25Z
date_published: 2021-02-11T00:00:00Z
date_updated: 2023-09-07T13:30:11Z
day: '11'
ddc:
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doi: 10.1007/s11005-020-01350-5
ec_funded: 1
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creator: dernst
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oa_version: Published Version
project:
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call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
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publication: Letters in Mathematical Physics
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scopus_import: '1'
status: public
title: Persistence of the spectral gap for the Landau–Pekar equations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 111
year: '2021'
...
---
_id: '9787'
abstract:
- lang: eng
text: We investigate the Fröhlich polaron model on a three-dimensional torus, and
give a proof of the second-order quantum corrections to its ground-state energy
in the strong-coupling limit. Compared to previous work in the confined case,
the translational symmetry (and its breaking in the Pekar approximation) makes
the analysis substantially more challenging.
acknowledgement: "Funding from the European Union’s Horizon 2020 research and innovation
programme under the ERC grant agreement No 694227 is gratefully acknowledged. We
would also like to thank Rupert Frank for many helpful discussions, especially related
to the Gross coordinate transformation defined in Def. 4.1.\r\n"
article_number: '2101.12566'
article_processing_charge: No
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum
corrections to the Pekar asymptotics. arXiv.'
apa: 'Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron
on the torus: Quantum corrections to the Pekar asymptotics. arXiv.'
chicago: 'Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron
on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.'
ieee: 'D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus:
Quantum corrections to the Pekar asymptotics,” arXiv. .'
ista: 'Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum
corrections to the Pekar asymptotics. arXiv, 2101.12566.'
mla: 'Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on
the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566.'
short: D. Feliciangeli, R. Seiringer, ArXiv (n.d.).
date_created: 2021-08-06T08:25:57Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-09-07T13:30:10Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
ec_funded: 1
external_id:
arxiv:
- '2101.12566'
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2101.12566
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '10224'
relation: later_version
status: public
- id: '9733'
relation: dissertation_contains
status: public
status: public
title: 'The strongly coupled polaron on the torus: Quantum corrections to the Pekar
asymptotics'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
year: '2021'
...
---
_id: '10738'
abstract:
- lang: eng
text: We prove an adiabatic theorem for the Landau–Pekar equations. This allows
us to derive new results on the accuracy of their use as effective equations for
the time evolution generated by the Fröhlich Hamiltonian with large coupling constant
α. In particular, we show that the time evolution of Pekar product states with
coherent phonon field and the electron being trapped by the phonons is well approximated
by the Landau–Pekar equations until times short compared to α2.
acknowledgement: "N. L. and R. S. gratefully acknowledge financial support by the
European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research
and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support
from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR
SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for
interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for
stimulating discussions about the time-evolution of a polaron.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Leopold NK, Rademacher SAE, Schlein B, Seiringer R. The Landau–Pekar equations:
Adiabatic theorem and accuracy. Analysis and PDE. 2021;14(7):2079-2100.
doi:10.2140/APDE.2021.14.2079'
apa: 'Leopold, N. K., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). The
Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE.
Mathematical Sciences Publishers. https://doi.org/10.2140/APDE.2021.14.2079'
chicago: 'Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and
Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.”
Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079.'
ieee: 'N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar
equations: Adiabatic theorem and accuracy,” Analysis and PDE, vol. 14,
no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.'
ista: 'Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar
equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.'
mla: 'Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem
and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences
Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079.'
short: N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE
14 (2021) 2079–2100.
date_created: 2022-02-06T23:01:33Z
date_published: 2021-11-10T00:00:00Z
date_updated: 2023-10-17T11:26:45Z
day: '10'
department:
- _id: RoSe
doi: 10.2140/APDE.2021.14.2079
ec_funded: 1
external_id:
arxiv:
- '1904.12532'
isi:
- '000733976600004'
intvolume: ' 14'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.12532
month: '11'
oa: 1
oa_version: Preprint
page: 2079-2100
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Analysis and PDE
publication_identifier:
eissn:
- 1948-206X
issn:
- 2157-5045
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: ' The Landau–Pekar equations: Adiabatic theorem and accuracy'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 14
year: '2021'
...
---
_id: '9792'
abstract:
- lang: eng
text: 'This paper establishes new connections between many-body quantum systems,
One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport
(OT), by interpreting the problem of computing the ground-state energy of a finite
dimensional composite quantum system at positive temperature as a non-commutative
entropy regularized Optimal Transport problem. We develop a new approach to fully
characterize the dual-primal solutions in such non-commutative setting. The mathematical
formalism is particularly relevant in quantum chemistry: numerical realizations
of the many-electron ground state energy can be computed via a non-commutative
version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness
of this algorithm, which, to our best knowledge, were unknown even in the two
marginal case. Our methods are based on careful a priori estimates in the dual
problem, which we believe to be of independent interest. Finally, the above results
are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions
are enforced on the problem.'
acknowledgement: 'This work started when A.G. was visiting the Erwin Schrödinger Institute
and then continued when D.F. and L.P visited the Theoretical Chemistry Department
of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both
places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions
and literature suggestions in the early state of the project. Finally, the authors
also thanks J. Maas and R. Seiringer for their feedback and useful comments to a
first draft of the article. L.P. acknowledges support by the Austrian Science Fund
(FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research
Council (ERC) under the European Union’s Horizon 2020 research and innovation programme
(grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European
Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].'
article_number: '2106.11217'
article_processing_charge: No
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Augusto
full_name: Gerolin, Augusto
last_name: Gerolin
- first_name: Lorenzo
full_name: Portinale, Lorenzo
id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87
last_name: Portinale
citation:
ama: Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal
transport approach to quantum composite systems at positive temperature. arXiv.
doi:10.48550/arXiv.2106.11217
apa: Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative
entropic optimal transport approach to quantum composite systems at positive temperature.
arXiv. https://doi.org/10.48550/arXiv.2106.11217
chicago: Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative
Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.”
ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.
ieee: D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic
optimal transport approach to quantum composite systems at positive temperature,”
arXiv. .
ista: Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal
transport approach to quantum composite systems at positive temperature. arXiv,
2106.11217.
mla: Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach
to Quantum Composite Systems at Positive Temperature.” ArXiv, 2106.11217,
doi:10.48550/arXiv.2106.11217.
short: D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).
date_created: 2021-08-06T09:07:12Z
date_published: 2021-07-21T00:00:00Z
date_updated: 2023-11-14T13:21:01Z
day: '21'
ddc:
- '510'
department:
- _id: RoSe
- _id: JaMa
doi: 10.48550/arXiv.2106.11217
ec_funded: 1
external_id:
arxiv:
- '2106.11217'
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2106.11217
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: arXiv
publication_status: submitted
related_material:
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status: public
- id: '10030'
relation: dissertation_contains
status: public
- id: '12911'
relation: later_version
status: public
status: public
title: A non-commutative entropic optimal transport approach to quantum composite
systems at positive temperature
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14889'
abstract:
- lang: eng
text: We consider the Fröhlich Hamiltonian with large coupling constant α. For initial
data of Pekar product form with coherent phonon field and with the electron minimizing
the corresponding energy, we provide a norm approximation of the evolution, valid
up to times of order α2. The approximation is given in terms of a Pekar product
state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics
taking quantum fluctuations into account. This allows us to show that the Landau-Pekar
equations approximately describe the evolution of the electron- and one-phonon
reduced density matrices under the Fröhlich dynamics up to times of order α2.
acknowledgement: "Financial support by the European Union’s Horizon 2020 research
and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No.
754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227
(N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.),
the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft
(DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics
of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges
financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical
and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch
Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel
Griesemer for helpful discussions."
article_processing_charge: No
article_type: original
author:
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar
equations and quantum fluctuations for the dynamics of a strongly coupled polaron.
Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653
apa: Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &
Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the
dynamics of a strongly coupled polaron. Pure and Applied Analysis. Mathematical
Sciences Publishers. https://doi.org/10.2140/paa.2021.3.653
chicago: Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher,
Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations
for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis.
Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.
ieee: N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer,
“Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly
coupled polaron,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical
Sciences Publishers, pp. 653–676, 2021.
ista: Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar
equations and quantum fluctuations for the dynamics of a strongly coupled polaron.
Pure and Applied Analysis. 3(4), 653–676.
mla: Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations
for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis,
vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.
short: N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer,
Pure and Applied Analysis 3 (2021) 653–676.
date_created: 2024-01-28T23:01:43Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2024-02-05T10:02:45Z
day: '01'
department:
- _id: RoSe
doi: 10.2140/paa.2021.3.653
ec_funded: 1
external_id:
arxiv:
- '2005.02098'
intvolume: ' 3'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2005.02098
month: '10'
oa: 1
oa_version: Preprint
page: 653-676
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Pure and Applied Analysis
publication_identifier:
eissn:
- 2578-5885
issn:
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publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly
coupled polaron
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2021'
...
---
_id: '14890'
abstract:
- lang: eng
text: We consider a system of N interacting bosons in the mean-field scaling regime
and construct corrections to the Bogoliubov dynamics that approximate the true
N-body dynamics in norm to arbitrary precision. The N-independent corrections
are given in terms of the solutions of the Bogoliubov and Hartree equations and
satisfy a generalized form of Wick's theorem. We determine the n-point correlation
functions of the excitations around the condensate, as well as the reduced densities
of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point
functions of a quasi-free state and the solution of the Hartree equation. In this
way, the complex problem of computing all n-point correlation functions for an
interacting N-body system is essentially reduced to the problem of solving the
Hartree equation and the PDEs for the Bogoliubov two-point functions.
acknowledgement: "We are grateful for the hospitality of Central China Normal University
(CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher,
Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges
the support by the German Research Foundation (DFG) within the Research\r\nTraining
Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom
the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk
lodowska-Curie Grant Agreement No. 754411."
article_processing_charge: No
article_type: original
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
- first_name: Avy
full_name: Soffer, Avy
last_name: Soffer
citation:
ama: Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. Pure
and Applied Analysis. 2021;3(4):677-726. doi:10.2140/paa.2021.3.677
apa: Bossmann, L., Petrat, S. P., Pickl, P., & Soffer, A. (2021). Beyond Bogoliubov
dynamics. Pure and Applied Analysis. Mathematical Sciences Publishers.
https://doi.org/10.2140/paa.2021.3.677
chicago: Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov
Dynamics.” Pure and Applied Analysis. Mathematical Sciences Publishers,
2021. https://doi.org/10.2140/paa.2021.3.677.
ieee: L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,”
Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers,
pp. 677–726, 2021.
ista: Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics.
Pure and Applied Analysis. 3(4), 677–726.
mla: Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis,
vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:10.2140/paa.2021.3.677.
short: L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis
3 (2021) 677–726.
date_created: 2024-01-28T23:01:43Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2024-02-05T09:26:31Z
day: '01'
department:
- _id: RoSe
doi: 10.2140/paa.2021.3.677
ec_funded: 1
external_id:
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- '1912.11004'
intvolume: ' 3'
issue: '4'
language:
- iso: eng
main_file_link:
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url: https://doi.org/10.48550/arXiv.1912.11004
month: '10'
oa: 1
oa_version: Preprint
page: 677-726
project:
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call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Pure and Applied Analysis
publication_identifier:
eissn:
- 2578-5885
issn:
- 2578-5893
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Beyond Bogoliubov dynamics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2021'
...
---
_id: '9733'
abstract:
- lang: eng
text: This thesis is the result of the research carried out by the author during
his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich
polaron model, specifically to its regime of strong coupling. This model, which
is rigorously introduced and discussed in the introduction, has been of great
interest in condensed matter physics and field theory for more than eighty years.
It is used to describe an electron interacting with the atoms of a solid material
(the strength of this interaction is modeled by the presence of a coupling constant
α in the Hamiltonian of the system). The particular regime examined here, which
is mathematically described by considering the limit α →∞, displays many interesting
features related to the emergence of classical behavior, which allows for a simplified
effective description of the system under analysis. The properties, the range
of validity and a quantitative analysis of the precision of such classical approximations
are the main object of the present work. We specify our investigation to the study
of the ground state energy of the system, its dynamics and its effective mass.
For each of these problems, we provide in the introduction an overview of the
previously known results and a detailed account of the original contributions
by the author.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
citation:
ama: Feliciangeli D. The polaron at strong coupling. 2021. doi:10.15479/at:ista:9733
apa: Feliciangeli, D. (2021). The polaron at strong coupling. Institute of
Science and Technology Austria. https://doi.org/10.15479/at:ista:9733
chicago: Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science
and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.
ieee: D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and
Technology Austria, 2021.
ista: Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science
and Technology Austria.
mla: Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science
and Technology Austria, 2021, doi:10.15479/at:ista:9733.
short: D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and
Technology Austria, 2021.
date_created: 2021-07-27T15:48:30Z
date_published: 2021-08-20T00:00:00Z
date_updated: 2024-03-06T12:30:44Z
day: '20'
ddc:
- '515'
- '519'
- '539'
degree_awarded: PhD
department:
- _id: GradSch
- _id: RoSe
- _id: JaMa
doi: 10.15479/at:ista:9733
ec_funded: 1
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month: '08'
oa: 1
oa_version: Published Version
page: '180'
project:
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call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '9787'
relation: part_of_dissertation
status: public
- id: '9792'
relation: part_of_dissertation
status: public
- id: '9225'
relation: part_of_dissertation
status: public
- id: '9781'
relation: part_of_dissertation
status: public
- id: '9791'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Maas, Jan
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
title: The polaron at strong coupling
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '9791'
abstract:
- lang: eng
text: We provide a definition of the effective mass for the classical polaron described
by the Landau-Pekar equations. It is based on a novel variational principle, minimizing
the energy functional over states with given (initial) velocity. The resulting
formula for the polaron's effective mass agrees with the prediction by Landau
and Pekar.
acknowledgement: We thank Herbert Spohn for helpful comments. Funding from the European
Union’s Horizon 2020 research and innovation programme under the ERC grant agreement
No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement
No. 754411 (S.R.) is gratefully acknowledged..
article_number: '2107.03720 '
article_processing_charge: No
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for
the Landau-Pekar equations. arXiv.
apa: Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (n.d.). The effective
mass problem for the Landau-Pekar equations. arXiv.
chicago: Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer.
“The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.
ieee: D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass
problem for the Landau-Pekar equations,” arXiv. .
ista: Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for
the Landau-Pekar equations. arXiv, 2107.03720.
mla: Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar
Equations.” ArXiv, 2107.03720.
short: D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
date_created: 2021-08-06T08:49:45Z
date_published: 2021-07-08T00:00:00Z
date_updated: 2024-03-06T12:30:45Z
day: '08'
ddc:
- '510'
department:
- _id: RoSe
ec_funded: 1
external_id:
arxiv:
- '2107.03720'
language:
- iso: eng
main_file_link:
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url: https://arxiv.org/abs/2107.03720
month: '07'
oa: 1
oa_version: Preprint
project:
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call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: arXiv
publication_status: submitted
related_material:
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relation: later_version
status: public
- id: '9733'
relation: dissertation_contains
status: public
status: public
title: The effective mass problem for the Landau-Pekar equations
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '6649'
abstract:
- lang: eng
text: "While Hartree–Fock theory is well established as a fundamental approximation
for interacting fermions, it has been unclear how to describe corrections to it
due to many-body correlations. In this paper we start from the Hartree–Fock state
given by plane waves and introduce collective particle–hole pair excitations.
These pairs can be approximately described by a bosonic quadratic Hamiltonian.
We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type
upper bound to the ground state energy. Our result justifies the random-phase
approximation in the mean-field scaling regime, for repulsive, regular interaction
potentials.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Phan Thành
full_name: Nam, Phan Thành
last_name: Nam
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound
for the correlation energy of a Fermi gas in the mean-field regime. Communications
in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5
apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R.
(2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field
regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5
chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi
Gas in the Mean-Field Regime.” Communications in Mathematical Physics.
Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.
ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal
upper bound for the correlation energy of a Fermi gas in the mean-field regime,”
Communications in Mathematical Physics, vol. 374. Springer Nature, pp.
2097–2150, 2020.
ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper
bound for the correlation energy of a Fermi gas in the mean-field regime. Communications
in Mathematical Physics. 374, 2097–2150.
mla: Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy
of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics,
vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.
short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications
in Mathematical Physics 374 (2020) 2097–2150.
date_created: 2019-07-18T13:30:04Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2023-08-17T13:51:50Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-019-03505-5
ec_funded: 1
external_id:
arxiv:
- '1809.01902'
isi:
- '000527910700019'
file:
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checksum: f9dd6dd615a698f1d3636c4a092fed23
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oa: 1
oa_version: Published Version
page: 2097–2150
project:
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
call_identifier: FWF
name: FWF Open Access Fund
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal upper bound for the correlation energy of a Fermi gas in the mean-field
regime
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 374
year: '2020'
...
---
_id: '7508'
abstract:
- lang: eng
text: In this paper, we introduce a novel method for deriving higher order corrections
to the mean-field description of the dynamics of interacting bosons. More precisely,
we consider the dynamics of N d-dimensional bosons for large N. The bosons initially
form a Bose–Einstein condensate and interact with each other via a pair potential
of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions
which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision
in powers of N−1. The approximating functions are constructed as Duhamel expansions
of finite order in terms of the first quantised analogue of a Bogoliubov time
evolution.
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research
Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics
of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello
Porta for helpful discussions. This project has received funding from the European
Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant
DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1.
Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and
P.P. thank A.S. for his hospitality at CCNU."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
- first_name: Avy
full_name: Soffer, Avy
last_name: Soffer
citation:
ama: Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the
mean-field description of the dynamics of interacting bosons. Journal of Statistical
Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8
apa: Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order
corrections to the mean-field description of the dynamics of interacting bosons.
Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8
chicago: Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order
Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.”
Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8.
ieee: L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections
to the mean-field description of the dynamics of interacting bosons,” Journal
of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020.
ista: Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections
to the mean-field description of the dynamics of interacting bosons. Journal of
Statistical Physics. 178, 1362–1396.
mla: Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description
of the Dynamics of Interacting Bosons.” Journal of Statistical Physics,
vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8.
short: L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics
178 (2020) 1362–1396.
date_created: 2020-02-23T09:45:51Z
date_published: 2020-02-21T00:00:00Z
date_updated: 2023-08-18T06:37:46Z
day: '21'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10955-020-02500-8
ec_funded: 1
external_id:
arxiv:
- '1905.06164'
isi:
- '000516342200001'
file:
- access_level: open_access
checksum: 643e230bf147e64d9cdb3f6cc573679d
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T09:26:46Z
date_updated: 2020-11-20T09:26:46Z
file_id: '8780'
file_name: 2020_JournStatPhysics_Bossmann.pdf
file_size: 576726
relation: main_file
success: 1
file_date_updated: 2020-11-20T09:26:46Z
has_accepted_license: '1'
intvolume: ' 178'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 1362-1396
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Higher order corrections to the mean-field description of the dynamics of interacting
bosons
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 178
year: '2020'
...
---
_id: '7790'
abstract:
- lang: eng
text: "We prove a lower bound for the free energy (per unit volume) of the two-dimensional
Bose gas in the thermodynamic limit. We show that the free energy at density \U0001D70C
and inverse temperature \U0001D6FD differs from the one of the noninteracting
system by the correction term \U0001D70B\U0001D70C\U0001D70C\U0001D6FD\U0001D6FD
. Here, is the scattering length of the interaction potential, and \U0001D6FD
is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity.
The result is valid in the dilute limit \U0001D70C and if \U0001D6FD\U0001D70C
."
article_number: e20
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Simon
full_name: Mayer, Simon
id: 30C4630A-F248-11E8-B48F-1D18A9856A87
last_name: Mayer
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute
Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17
apa: Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the
two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma.
Cambridge University Press. https://doi.org/10.1017/fms.2020.17
chicago: Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy
of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics,
Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.
ieee: A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional
dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8.
Cambridge University Press, 2020.
ista: Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional
dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.
mla: Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose
Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge
University Press, 2020, doi:10.1017/fms.2020.17.
short: A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
date_created: 2020-05-03T22:00:48Z
date_published: 2020-03-14T00:00:00Z
date_updated: 2023-08-21T06:18:49Z
day: '14'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1017/fms.2020.17
ec_funded: 1
external_id:
arxiv:
- '1910.03372'
isi:
- '000527342000001'
file:
- access_level: open_access
checksum: 8a64da99d107686997876d7cad8cfe1e
content_type: application/pdf
creator: dernst
date_created: 2020-05-04T12:02:41Z
date_updated: 2020-07-14T12:48:03Z
file_id: '7797'
file_name: 2020_ForumMath_Deuchert.pdf
file_size: 692530
relation: main_file
file_date_updated: 2020-07-14T12:48:03Z
has_accepted_license: '1'
intvolume: ' 8'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- '20505094'
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
record:
- id: '7524'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: The free energy of the two-dimensional dilute Bose gas. I. Lower bound
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 8
year: '2020'
...
---
_id: '8042'
abstract:
- lang: eng
text: We consider systems of N bosons in a box of volume one, interacting through
a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for
sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov
theory, identifying the ground state energy and the low-lying excitation spectrum
up to errors that vanish in the limit of large N.
article_processing_charge: No
article_type: original
author:
- first_name: Chiara
full_name: Boccato, Chiara
id: 342E7E22-F248-11E8-B48F-1D18A9856A87
last_name: Boccato
- first_name: Christian
full_name: Brennecke, Christian
last_name: Brennecke
- first_name: Serena
full_name: Cenatiempo, Serena
last_name: Cenatiempo
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
citation:
ama: Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of
Bose gases interacting through singular potentials. Journal of the European
Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966
apa: Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation
spectrum of Bose gases interacting through singular potentials. Journal of
the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966
chicago: Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein.
“The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.”
Journal of the European Mathematical Society. European Mathematical Society,
2020. https://doi.org/10.4171/JEMS/966.
ieee: C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum
of Bose gases interacting through singular potentials,” Journal of the European
Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403,
2020.
ista: Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum
of Bose gases interacting through singular potentials. Journal of the European
Mathematical Society. 22(7), 2331–2403.
mla: Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting
through Singular Potentials.” Journal of the European Mathematical Society,
vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966.
short: C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European
Mathematical Society 22 (2020) 2331–2403.
date_created: 2020-06-29T07:59:35Z
date_published: 2020-07-01T00:00:00Z
date_updated: 2023-08-22T07:47:04Z
day: '01'
department:
- _id: RoSe
doi: 10.4171/JEMS/966
external_id:
arxiv:
- '1704.04819'
isi:
- '000548174700006'
intvolume: ' 22'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1704.04819
month: '07'
oa: 1
oa_version: Preprint
page: 2331-2403
publication: Journal of the European Mathematical Society
publication_identifier:
issn:
- '14359855'
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: The excitation spectrum of Bose gases interacting through singular potentials
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 22
year: '2020'
...
---
_id: '8091'
abstract:
- lang: eng
text: In the setting of the fractional quantum Hall effect we study the effects
of strong, repulsive two-body interaction potentials of short range. We prove
that Haldane’s pseudo-potential operators, including their pre-factors, emerge
as mathematically rigorous limits of such interactions when the range of the potential
tends to zero while its strength tends to infinity. In a common approach the interaction
potential is expanded in angular momentum eigenstates in the lowest Landau level,
which amounts to taking the pre-factors to be the moments of the potential. Such
a procedure is not appropriate for very strong interactions, however, in particular
not in the case of hard spheres. We derive the formulas valid in the short-range
case, which involve the scattering lengths of the interaction potential in different
angular momentum channels rather than its moments. Our results hold for bosons
and fermions alike and generalize previous results in [6], which apply to bosons
in the lowest angular momentum channel. Our main theorem asserts the convergence
in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after
appropriate energy scalings, to Hamiltonians with contact interactions in the
lowest Landau level.
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria).\r\nThe work of R.S. was supported by the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC
Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. "
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems
with short-range interactions. Journal of Statistical Physics. 2020;181:448-464.
doi:10.1007/s10955-020-02586-0
apa: Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials
in systems with short-range interactions. Journal of Statistical Physics.
Springer. https://doi.org/10.1007/s10955-020-02586-0
chicago: Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials
in Systems with Short-Range Interactions.” Journal of Statistical Physics.
Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0.
ieee: R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems
with short-range interactions,” Journal of Statistical Physics, vol. 181.
Springer, pp. 448–464, 2020.
ista: Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems
with short-range interactions. Journal of Statistical Physics. 181, 448–464.
mla: Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials
in Systems with Short-Range Interactions.” Journal of Statistical Physics,
vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.
short: R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
date_created: 2020-07-05T22:00:46Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2023-08-22T07:51:47Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s10955-020-02586-0
ec_funded: 1
external_id:
arxiv:
- '2001.07144'
isi:
- '000543030000002'
file:
- access_level: open_access
checksum: 5cbeef52caf18d0d952f17fed7b5545a
content_type: application/pdf
creator: dernst
date_created: 2020-11-25T15:05:04Z
date_updated: 2020-11-25T15:05:04Z
file_id: '8812'
file_name: 2020_JourStatPhysics_Seiringer.pdf
file_size: 404778
relation: main_file
success: 1
file_date_updated: 2020-11-25T15:05:04Z
has_accepted_license: '1'
intvolume: ' 181'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 448-464
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- '15729613'
issn:
- '00224715'
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Emergence of Haldane pseudo-potentials in systems with short-range interactions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 181
year: '2020'
...
---
_id: '8134'
abstract:
- lang: eng
text: We prove an upper bound on the free energy of a two-dimensional homogeneous
Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the
free energy per unit volume differs from the one of the non-interacting system
by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering
length of the two-body interaction potential, ρ is the density, β is the inverse
temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature
for superfluidity. In combination with the corresponding matching lower bound
proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality
in the asymptotic expansion.
article_number: '061901'
article_processing_charge: No
article_type: original
author:
- first_name: Simon
full_name: Mayer, Simon
id: 30C4630A-F248-11E8-B48F-1D18A9856A87
last_name: Mayer
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas.
II. Upper bound. Journal of Mathematical Physics. 2020;61(6). doi:10.1063/5.0005950
apa: Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional
dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. AIP
Publishing. https://doi.org/10.1063/5.0005950
chicago: Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional
Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics. AIP
Publishing, 2020. https://doi.org/10.1063/5.0005950.
ieee: S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute
Bose gas. II. Upper bound,” Journal of Mathematical Physics, vol. 61, no.
6. AIP Publishing, 2020.
ista: Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute
Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.
mla: Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional
Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol.
61, no. 6, 061901, AIP Publishing, 2020, doi:10.1063/5.0005950.
short: S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
date_created: 2020-07-19T22:00:59Z
date_published: 2020-06-22T00:00:00Z
date_updated: 2023-08-22T08:12:40Z
day: '22'
department:
- _id: RoSe
doi: 10.1063/5.0005950
ec_funded: 1
external_id:
arxiv:
- '2002.08281'
isi:
- '000544595100001'
intvolume: ' 61'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2002.08281
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Journal of Mathematical Physics
publication_identifier:
issn:
- '00222488'
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The free energy of the two-dimensional dilute Bose gas. II. Upper bound
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 61
year: '2020'
...
---
_id: '8769'
abstract:
- lang: eng
text: One of the hallmarks of quantum statistics, tightly entwined with the concept
of topological phases of matter, is the prediction of anyons. Although anyons
are predicted to be realized in certain fractional quantum Hall systems, they
have not yet been unambiguously detected in experiment. Here we introduce a simple
quantum impurity model, where bosonic or fermionic impurities turn into anyons
as a consequence of their interaction with the surrounding many-particle bath.
A cloud of phonons dresses each impurity in such a way that it effectively attaches
fluxes or vortices to it and thereby converts it into an Abelian anyon. The corresponding
quantum impurity model, first, provides a different approach to the numerical
solution of the many-anyon problem, along with a concrete perspective of anyons
as emergent quasiparticles built from composite bosons or fermions. More importantly,
the model paves the way toward realizing anyons using impurities in crystal lattices
as well as ultracold gases. In particular, we consider two heavy electrons interacting
with a two-dimensional lattice crystal in a magnetic field, and show that when
the impurity-bath system is rotated at the cyclotron frequency, impurities behave
as anyons as a consequence of the angular momentum exchange between the impurities
and the bath. A possible experimental realization is proposed by identifying the
statistics parameter in terms of the mean-square distance of the impurities and
the magnetization of the impurity-bath system, both of which are accessible to
experiment. Another proposed application is impurities immersed in a two-dimensional
weakly interacting Bose gas.
acknowledgement: "We are grateful to M. Correggi, A. Deuchert, and P. Schmelcher for
valuable discussions. We also thank the anonymous referees for helping to clarify
a few important points in the experimental realization. A.G. acknowledges support
by the European Unions Horizon 2020 research and innovation program under the Marie
Skłodowska-Curie grant agreement\r\nNo 754411. D.L. acknowledges financial support
from the Goran Gustafsson Foundation (grant no. 1804) and LMU Munich. R.S., M.L.,
and N.R. gratefully acknowledge financial support by the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(grant agreements No 694227, No 801770, and No 758620, respectively)."
article_number: '144109'
article_processing_charge: No
article_type: original
author:
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
- first_name: Areg
full_name: Ghazaryan, Areg
id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87
last_name: Ghazaryan
orcid: 0000-0001-9666-3543
- first_name: D.
full_name: Lundholm, D.
last_name: Lundholm
- first_name: N.
full_name: Rougerie, N.
last_name: Rougerie
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R.
Quantum impurity model for anyons. Physical Review B. 2020;102(14). doi:10.1103/physrevb.102.144109
apa: Yakaboylu, E., Ghazaryan, A., Lundholm, D., Rougerie, N., Lemeshko, M., &
Seiringer, R. (2020). Quantum impurity model for anyons. Physical Review B.
American Physical Society. https://doi.org/10.1103/physrevb.102.144109
chicago: Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail
Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” Physical
Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.102.144109.
ieee: E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, and R.
Seiringer, “Quantum impurity model for anyons,” Physical Review B, vol.
102, no. 14. American Physical Society, 2020.
ista: Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R.
2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109.
mla: Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” Physical
Review B, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:10.1103/physrevb.102.144109.
short: E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer,
Physical Review B 102 (2020).
date_created: 2020-11-18T07:34:17Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2023-09-05T12:12:30Z
day: '01'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1103/physrevb.102.144109
ec_funded: 1
external_id:
arxiv:
- '1912.07890'
isi:
- '000582563300001'
intvolume: ' 102'
isi: 1
issue: '14'
language:
- iso: eng
main_file_link:
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url: https://arxiv.org/abs/1912.07890
month: '10'
oa: 1
oa_version: Preprint
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '801770'
name: 'Angulon: physics and applications of a new quasiparticle'
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantum impurity model for anyons
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 102
year: '2020'
...
---
_id: '7650'
abstract:
- lang: eng
text: We consider a dilute, homogeneous Bose gas at positive temperature. The system
is investigated in the Gross–Pitaevskii limit, where the scattering length a is
so small that the interaction energy is of the same order of magnitude as the
spectral gap of the Laplacian, and for temperatures that are comparable to the
critical temperature of the ideal gas. We show that the difference between the
specific free energy of the interacting system and the one of the ideal gas is
to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system
and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show
that the one-particle density matrix of any approximate minimizer of the Gibbs
free energy functional is to leading order given by the one of the ideal gas.
This in particular proves Bose–Einstein condensation with critical temperature
given by the one of the ideal gas to leading order. One key ingredient of our
proof is a novel use of the Gibbs variational principle that goes hand in hand
with the c-number substitution.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). It is a pleasure to thank Jakob Yngvason for helpful discussions.
Financial support by the European Research Council (ERC) under the European Union’sHorizon
2020 research and innovation programme (Grant Agreement No. 694227) is gratefully
acknowledged. A. D. acknowledges funding from the European Union’s Horizon 2020
research and innovation programme under the Marie Sklodowska-Curie Grant Agreement
No. 836146.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at
positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271.
doi:10.1007/s00205-020-01489-4
apa: Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous
Bose gas at positive temperature. Archive for Rational Mechanics and Analysis.
Springer Nature. https://doi.org/10.1007/s00205-020-01489-4
chicago: Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous
Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis.
Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.
ieee: A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose
gas at positive temperature,” Archive for Rational Mechanics and Analysis,
vol. 236, no. 6. Springer Nature, pp. 1217–1271, 2020.
ista: Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose
gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6),
1217–1271.
mla: Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous
Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis,
vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.
short: A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236
(2020) 1217–1271.
date_created: 2020-04-08T15:18:03Z
date_published: 2020-03-09T00:00:00Z
date_updated: 2023-09-05T14:18:49Z
day: '09'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-020-01489-4
ec_funded: 1
external_id:
arxiv:
- '1901.11363'
isi:
- '000519415000001'
file:
- access_level: open_access
checksum: b645fb64bfe95bbc05b3eea374109a9c
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T13:17:42Z
date_updated: 2020-11-20T13:17:42Z
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month: '03'
oa: 1
oa_version: Published Version
page: 1217-1271
project:
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call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
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publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 236
year: '2020'
...
---
_id: '8130'
abstract:
- lang: eng
text: We study the dynamics of a system of N interacting bosons in a disc-shaped
trap, which is realised by an external potential that confines the bosons in one
spatial dimension to an interval of length of order ε. The interaction is non-negative
and scaled in such a way that its scattering length is of order ε/N, while its
range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the
simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein
condensation. We prove that condensation is preserved by the N-body dynamics,
where the time-evolved condensate wave function is the solution of a two-dimensional
non-linear equation. The strength of the non-linearity depends on the scaling
parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger
equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the
scattering length of the interaction. In both cases, the coupling parameter depends
on the confining potential.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). I thank Stefan Teufel for helpful remarks and for his involvement
in the closely related joint project [10]. Helpful discussions with Serena Cenatiempo
and Nikolai Leopold are gratefully acknowledged. This work was supported by the
German Research Foundation within the Research Training Group 1838 “Spectral Theory
and Dynamics of Quantum Systems” and has received funding from the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
citation:
ama: Bossmann L. Derivation of the 2d Gross–Pitaevskii equation for strongly confined
3d Bosons. Archive for Rational Mechanics and Analysis. 2020;238(11):541-606.
doi:10.1007/s00205-020-01548-w
apa: Bossmann, L. (2020). Derivation of the 2d Gross–Pitaevskii equation for strongly
confined 3d Bosons. Archive for Rational Mechanics and Analysis. Springer
Nature. https://doi.org/10.1007/s00205-020-01548-w
chicago: Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly
Confined 3d Bosons.” Archive for Rational Mechanics and Analysis. Springer
Nature, 2020. https://doi.org/10.1007/s00205-020-01548-w.
ieee: L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly
confined 3d Bosons,” Archive for Rational Mechanics and Analysis, vol.
238, no. 11. Springer Nature, pp. 541–606, 2020.
ista: Bossmann L. 2020. Derivation of the 2d Gross–Pitaevskii equation for strongly
confined 3d Bosons. Archive for Rational Mechanics and Analysis. 238(11), 541–606.
mla: Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly
Confined 3d Bosons.” Archive for Rational Mechanics and Analysis, vol.
238, no. 11, Springer Nature, 2020, pp. 541–606, doi:10.1007/s00205-020-01548-w.
short: L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.
date_created: 2020-07-18T15:06:35Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-09-05T14:19:06Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-020-01548-w
ec_funded: 1
external_id:
arxiv:
- '1907.04547'
isi:
- '000550164400001'
file:
- access_level: open_access
checksum: cc67a79a67bef441625fcb1cd031db3d
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date_created: 2020-12-02T08:50:38Z
date_updated: 2020-12-02T08:50:38Z
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file_size: 942343
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intvolume: ' 238'
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issue: '11'
language:
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month: '11'
oa: 1
oa_version: Published Version
page: 541-606
project:
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call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 238
year: '2020'
...
---
_id: '7235'
abstract:
- lang: eng
text: We consider the Fröhlich model of a polaron, and show that its effective mass
diverges in thestrong coupling limit.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). Financial support through the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme (Grant Agreement
No. 694227; R.S.) is gratefully acknowledged.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the
strong coupling limit. Journal of Statistical Physics. 2020;180:23-33.
doi:10.1007/s10955-019-02322-3
apa: Lieb, E. H., & Seiringer, R. (2020). Divergence of the effective mass of
a polaron in the strong coupling limit. Journal of Statistical Physics.
Springer Nature. https://doi.org/10.1007/s10955-019-02322-3
chicago: Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass
of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics.
Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3.
ieee: E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron
in the strong coupling limit,” Journal of Statistical Physics, vol. 180.
Springer Nature, pp. 23–33, 2020.
ista: Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron
in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.
mla: Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of
a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics,
vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.
short: E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
date_created: 2020-01-07T09:42:03Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2023-09-05T14:57:29Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s10955-019-02322-3
ec_funded: 1
external_id:
isi:
- '000556199700003'
file:
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month: '09'
oa: 1
oa_version: Published Version
page: 23-33
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Divergence of the effective mass of a polaron in the strong coupling limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 180
year: '2020'
...
---
_id: '7611'
abstract:
- lang: eng
text: We consider a system of N bosons in the limit N→∞, interacting through singular
potentials. For initial data exhibiting Bose–Einstein condensation, the many-body
time evolution is well approximated through a quadratic fluctuation dynamics around
a cubic nonlinear Schrödinger equation of the condensate wave function. We show
that these fluctuations satisfy a (multi-variate) central limit theorem.
acknowledgement: "Simone Rademacher acknowledges partial support from the NCCR SwissMAP.
This project has received\r\nfunding from the European Union’s Horizon 2020 research
and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R.
would like to thank Benjamin Schlein for many fruitful discussions."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
citation:
ama: Rademacher SAE. Central limit theorem for Bose gases interacting through singular
potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w
apa: Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting
through singular potentials. Letters in Mathematical Physics. Springer
Nature. https://doi.org/10.1007/s11005-020-01286-w
chicago: Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting
through Singular Potentials.” Letters in Mathematical Physics. Springer
Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.
ieee: S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through
singular potentials,” Letters in Mathematical Physics, vol. 110. Springer
Nature, pp. 2143–2174, 2020.
ista: Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through
singular potentials. Letters in Mathematical Physics. 110, 2143–2174.
mla: Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting
through Singular Potentials.” Letters in Mathematical Physics, vol. 110,
Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.
short: S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.
date_created: 2020-03-23T11:11:47Z
date_published: 2020-03-12T00:00:00Z
date_updated: 2023-09-05T15:14:50Z
day: '12'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-020-01286-w
ec_funded: 1
external_id:
isi:
- '000551556000006'
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month: '03'
oa: 1
oa_version: Published Version
page: 2143-2174
project:
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call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Central limit theorem for Bose gases interacting through singular potentials
tmp:
image: /images/cc_by.png
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name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 110
year: '2020'
...
---
_id: '7514'
abstract:
- lang: eng
text: "We study the interacting homogeneous Bose gas in two spatial dimensions in
the thermodynamic limit at fixed density. We shall be concerned with some mathematical
aspects of this complicated problem in many-body quantum mechanics. More specifically,
we consider the dilute limit where the scattering length of the interaction potential,
which is a measure for the effective range of the potential, is small compared
to the average distance between the particles. We are interested in a setting
with positive (i.e., non-zero) temperature. After giving a survey of the relevant
literature in the field, we provide some facts and examples to set expectations
for the two-dimensional system. The crucial difference to the three-dimensional
system is that there is no Bose–Einstein condensate at positive temperature due
to the Hohenberg–Mermin–Wagner theorem. However, it turns out that an asymptotic
formula for the free energy holds similarly to the three-dimensional case.\r\nWe
motivate this formula by considering a toy model with δ interaction potential.
By restricting this model Hamiltonian to certain trial states with a quasi-condensate
we obtain an upper bound for the free energy that still has the quasi-condensate
fraction as a free parameter. When minimizing over the quasi-condensate fraction,
we obtain the Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity,
which plays an important role in our rigorous contribution. The mathematically
rigorous result that we prove concerns the specific free energy in the dilute
limit. We give upper and lower bounds on the free energy in terms of the free
energy of the non-interacting system and a correction term coming from the interaction.
Both bounds match and thus we obtain the leading term of an asymptotic approximation
in the dilute limit, provided the thermal wavelength of the particles is of the
same order (or larger) than the average distance between the particles. The remarkable
feature of this result is its generality: the correction term depends on the interaction
potential only through its scattering length and it holds for all nonnegative
interaction potentials with finite scattering length that are measurable. In particular,
this allows to model an interaction of hard disks."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Simon
full_name: Mayer, Simon
id: 30C4630A-F248-11E8-B48F-1D18A9856A87
last_name: Mayer
citation:
ama: Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514
apa: Mayer, S. (2020). The free energy of a dilute two-dimensional Bose gas.
Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7514
chicago: Mayer, Simon. “The Free Energy of a Dilute Two-Dimensional Bose Gas.” Institute
of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7514.
ieee: S. Mayer, “The free energy of a dilute two-dimensional Bose gas,” Institute
of Science and Technology Austria, 2020.
ista: Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute
of Science and Technology Austria.
mla: Mayer, Simon. The Free Energy of a Dilute Two-Dimensional Bose Gas.
Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7514.
short: S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute
of Science and Technology Austria, 2020.
date_created: 2020-02-24T09:17:27Z
date_published: 2020-02-24T00:00:00Z
date_updated: 2023-09-07T13:12:42Z
day: '24'
ddc:
- '510'
degree_awarded: PhD
department:
- _id: RoSe
- _id: GradSch
doi: 10.15479/AT:ISTA:7514
ec_funded: 1
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- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '148'
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '7524'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
title: The free energy of a dilute two-dimensional Bose gas
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
---
_id: '8587'
abstract:
- lang: eng
text: Inspired by the possibility to experimentally manipulate and enhance chemical
reactivity in helium nanodroplets, we investigate the effective interaction and
the resulting correlations between two diatomic molecules immersed in a bath of
bosons. By analogy with the bipolaron, we introduce the biangulon quasiparticle
describing two rotating molecules that align with respect to each other due to
the effective attractive interaction mediated by the excitations of the bath.
We study this system in different parameter regimes and apply several theoretical
approaches to describe its properties. Using a Born–Oppenheimer approximation,
we investigate the dependence of the effective intermolecular interaction on the
rotational state of the two molecules. In the strong-coupling regime, a product-state
ansatz shows that the molecules tend to have a strong alignment in the ground
state. To investigate the system in the weak-coupling regime, we apply a one-phonon
excitation variational ansatz, which allows us to access the energy spectrum.
In comparison to the angulon quasiparticle, the biangulon shows shifted angulon
instabilities and an additional spectral instability, where resonant angular momentum
transfer between the molecules and the bath takes place. These features are proposed
as an experimentally observable signature for the formation of the biangulon quasiparticle.
Finally, by using products of single angulon and bare impurity wave functions
as basis states, we introduce a diagonalization scheme that allows us to describe
the transition from two separated angulons to a biangulon as a function of the
distance between the two molecules.
acknowledgement: We are grateful to Areg Ghazaryan for valuable discussions. M.L.
acknowledges support from the Austrian Science Fund (FWF) under Project No. P29902-N27
and from the European Research Council (ERC) Starting Grant No. 801770 (ANGULON).
G.B. acknowledges support from the Austrian Science Fund (FWF) under Project No.
M2461-N27. A.D. acknowledges funding from the European Union’s Horizon 2020 research
and innovation programme under the European Research Council (ERC) Grant Agreement
No. 694227 and under the Marie Sklodowska-Curie Grant Agreement No. 836146. R.S.
was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
under Germany’s Excellence Strategy – EXC-2111 – 390814868.
article_number: '164302'
article_processing_charge: No
article_type: original
author:
- first_name: Xiang
full_name: Li, Xiang
id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
last_name: Li
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
- first_name: Giacomo
full_name: Bighin, Giacomo
id: 4CA96FD4-F248-11E8-B48F-1D18A9856A87
last_name: Bighin
orcid: 0000-0001-8823-9777
- first_name: Richard
full_name: Schmidt, Richard
last_name: Schmidt
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
citation:
ama: Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular
forces and correlations mediated by a phonon bath. The Journal of Chemical
Physics. 2020;152(16). doi:10.1063/1.5144759
apa: Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., & Deuchert,
A. (2020). Intermolecular forces and correlations mediated by a phonon bath. The
Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/1.5144759
chicago: Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail
Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated
by a Phonon Bath.” The Journal of Chemical Physics. AIP Publishing, 2020.
https://doi.org/10.1063/1.5144759.
ieee: X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert,
“Intermolecular forces and correlations mediated by a phonon bath,” The Journal
of Chemical Physics, vol. 152, no. 16. AIP Publishing, 2020.
ista: Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. 2020. Intermolecular
forces and correlations mediated by a phonon bath. The Journal of Chemical Physics.
152(16), 164302.
mla: Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon
Bath.” The Journal of Chemical Physics, vol. 152, no. 16, 164302, AIP Publishing,
2020, doi:10.1063/1.5144759.
short: X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The
Journal of Chemical Physics 152 (2020).
date_created: 2020-09-30T10:33:17Z
date_published: 2020-04-27T00:00:00Z
date_updated: 2023-09-07T13:16:42Z
day: '27'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1063/1.5144759
ec_funded: 1
external_id:
arxiv:
- '1912.02658'
isi:
- '000530448300001'
intvolume: ' 152'
isi: 1
issue: '16'
keyword:
- Physical and Theoretical Chemistry
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1912.02658
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 26031614-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P29902
name: Quantum rotations in the presence of a many-body environment
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '801770'
name: 'Angulon: physics and applications of a new quasiparticle'
- _id: 26986C82-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02641
name: A path-integral approach to composite impurities
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: The Journal of Chemical Physics
publication_identifier:
eissn:
- 1089-7690
issn:
- 0021-9606
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
record:
- id: '8958'
relation: dissertation_contains
status: public
status: public
title: Intermolecular forces and correlations mediated by a phonon bath
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 152
year: '2020'
...
---
_id: '9781'
abstract:
- lang: eng
text: We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers,
and a quadratic lower bound in terms of the distance to the minimizer. The latter
follows from nondegeneracy of the Hessian at the minimum.
acknowledgement: We are grateful for the hospitality at the Mittag-Leffler Institute,
where part of this work has been done. The work of the authors was supported by
the European Research Council (ERC)under the European Union's Horizon 2020 research
and innovation programme grant 694227.
article_processing_charge: No
article_type: original
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of
the Pekar functional on a ball. SIAM Journal on Mathematical Analysis.
2020;52(1):605-622. doi:10.1137/19m126284x
apa: Feliciangeli, D., & Seiringer, R. (2020). Uniqueness and nondegeneracy
of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical
Analysis. Society for Industrial & Applied Mathematics . https://doi.org/10.1137/19m126284x
chicago: Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy
of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical
Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x.
ieee: D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers
of the Pekar functional on a ball,” SIAM Journal on Mathematical Analysis,
vol. 52, no. 1. Society for Industrial & Applied Mathematics , pp. 605–622,
2020.
ista: Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers
of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1),
605–622.
mla: Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of
Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical
Analysis, vol. 52, no. 1, Society for Industrial & Applied Mathematics
, 2020, pp. 605–22, doi:10.1137/19m126284x.
short: D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020)
605–622.
date_created: 2021-08-06T07:34:16Z
date_published: 2020-02-12T00:00:00Z
date_updated: 2023-09-07T13:30:11Z
day: '12'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1137/19m126284x
ec_funded: 1
external_id:
arxiv:
- '1904.08647 '
isi:
- '000546967700022'
has_accepted_license: '1'
intvolume: ' 52'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.08647
month: '02'
oa: 1
oa_version: Preprint
page: 605-622
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
eissn:
- 1095-7154
issn:
- 0036-1410
publication_status: published
publisher: 'Society for Industrial & Applied Mathematics '
quality_controlled: '1'
related_material:
record:
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
tmp:
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legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
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(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 52
year: '2020'
...
---
_id: '8705'
abstract:
- lang: eng
text: We consider the quantum mechanical many-body problem of a single impurity
particle immersed in a weakly interacting Bose gas. The impurity interacts with
the bosons via a two-body potential. We study the Hamiltonian of this system in
the mean-field limit and rigorously show that, at low energies, the problem is
well described by the Fröhlich polaron model.
acknowledgement: Financial support through the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme Grant agreement
No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.)
is gratefully acknowledged. Funding Open access funding provided by Institute of
Science and Technology (IST Austria)
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Krzysztof
full_name: Mysliwy, Krzysztof
id: 316457FC-F248-11E8-B48F-1D18A9856A87
last_name: Mysliwy
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian
for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020;21(12):4003-4025.
doi:10.1007/s00023-020-00969-3
apa: Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich
Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare.
Springer Nature. https://doi.org/10.1007/s00023-020-00969-3
chicago: Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the
Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales
Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.
ieee: K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian
for the Bose polaron in the mean-field limit,” Annales Henri Poincare,
vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.
ista: Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian
for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12),
4003–4025.
mla: Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich
Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare,
vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3.
short: K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
date_created: 2020-10-25T23:01:19Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-09-07T13:43:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00023-020-00969-3
ec_funded: 1
external_id:
arxiv:
- '2003.12371'
isi:
- '000578111800002'
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page: 4003-4025
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call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
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call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11473'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in
the mean-field limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 21
year: '2020'
...
---
_id: '14891'
abstract:
- lang: eng
text: We give the first mathematically rigorous justification of the local density
approximation in density functional theory. We provide a quantitative estimate
on the difference between the grand-canonical Levy–Lieb energy of a given density
(the lowest possible energy of all quantum states having this density) and the
integral over the uniform electron gas energy of this density. The error involves
gradient terms and justifies the use of the local density approximation in the
situation where the density is very flat on sufficiently large regions in space.
article_processing_charge: No
article_type: original
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lewin M, Lieb EH, Seiringer R. The local density approximation in density
functional theory. Pure and Applied Analysis. 2020;2(1):35-73. doi:10.2140/paa.2020.2.35
apa: Lewin, M., Lieb, E. H., & Seiringer, R. (2020). The local density approximation
in density functional theory. Pure and Applied Analysis. Mathematical Sciences
Publishers. https://doi.org/10.2140/paa.2020.2.35
chicago: Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density
Approximation in Density Functional Theory.” Pure and Applied Analysis.
Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35.
ieee: M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation
in density functional theory,” Pure and Applied Analysis, vol. 2, no. 1.
Mathematical Sciences Publishers, pp. 35–73, 2020.
ista: Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density
functional theory. Pure and Applied Analysis. 2(1), 35–73.
mla: Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional
Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences
Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35.
short: M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
date_created: 2024-01-28T23:01:44Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2024-01-29T09:01:12Z
day: '01'
department:
- _id: RoSe
doi: 10.2140/paa.2020.2.35
external_id:
arxiv:
- '1903.04046'
intvolume: ' 2'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1903.04046
month: '01'
oa: 1
oa_version: Preprint
page: 35-73
publication: Pure and Applied Analysis
publication_identifier:
eissn:
- 2578-5885
issn:
- 2578-5893
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: ' The local density approximation in density functional theory'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2020'
...
---
_id: '6906'
abstract:
- lang: eng
text: We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime.
We show that low-energy states exhibit complete Bose–Einstein condensation with
an optimal bound on the number of orthogonal excitations. This extends recent
results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing
the assumption of small interaction potential.
acknowledgement: "We would like to thank P. T. Nam and R. Seiringer for several useful
discussions and\r\nfor suggesting us to use the localization techniques from [9].
C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under
the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges
support from the NCCR SwissMAP and from the Swiss National Foundation of Science
(Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties
of Bose–Einstein condensates”."
article_processing_charge: No
article_type: original
author:
- first_name: Chiara
full_name: Boccato, Chiara
id: 342E7E22-F248-11E8-B48F-1D18A9856A87
last_name: Boccato
- first_name: Christian
full_name: Brennecke, Christian
last_name: Brennecke
- first_name: Serena
full_name: Cenatiempo, Serena
last_name: Cenatiempo
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
citation:
ama: Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein
condensation in the Gross-Pitaevskii regime. Communications in Mathematical
Physics. 2020;376:1311-1395. doi:10.1007/s00220-019-03555-9
apa: Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). Optimal
rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-019-03555-9
chicago: Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein.
“Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.”
Communications in Mathematical Physics. Springer, 2020. https://doi.org/10.1007/s00220-019-03555-9.
ieee: C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for
Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications
in Mathematical Physics, vol. 376. Springer, pp. 1311–1395, 2020.
ista: Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. Optimal rate for Bose-Einstein
condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics.
376, 1311–1395.
mla: Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the
Gross-Pitaevskii Regime.” Communications in Mathematical Physics, vol.
376, Springer, 2020, pp. 1311–95, doi:10.1007/s00220-019-03555-9.
short: C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical
Physics 376 (2020) 1311–1395.
date_created: 2019-09-24T17:30:59Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2024-02-22T13:33:02Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00220-019-03555-9
ec_funded: 1
external_id:
arxiv:
- '1812.03086'
isi:
- '000536053300012'
intvolume: ' 376'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1812.03086
month: '06'
oa: 1
oa_version: Preprint
page: 1311-1395
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 376
year: '2020'
...
---
_id: '15072'
abstract:
- lang: eng
text: The interaction among fundamental particles in nature leads to many interesting
effects in quantum statistical mechanics; examples include superconductivity for
charged systems and superfluidity in cold gases. It is a huge challenge for mathematical
physics to understand the collective behavior of systems containing a large number
of particles, emerging from known microscopic interactions. In this workshop we
brought together researchers working on different aspects of many-body quantum
mechanics to discuss recent developments, exchange ideas and propose new challenges
and research directions.
article_processing_charge: No
article_type: original
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Simone
full_name: Warzel, Simone
last_name: Warzel
citation:
ama: Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach
Reports. 2020;16(3):2541-2603. doi:10.4171/owr/2019/41
apa: Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2020). Many-body
quantum systems. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/41
chicago: Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel.
“Many-Body Quantum Systems.” Oberwolfach Reports. European Mathematical
Society, 2020. https://doi.org/10.4171/owr/2019/41.
ieee: C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,”
Oberwolfach Reports, vol. 16, no. 3. European Mathematical Society, pp.
2541–2603, 2020.
ista: Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems.
Oberwolfach Reports. 16(3), 2541–2603.
mla: Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports,
vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41.
short: C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020)
2541–2603.
date_created: 2024-03-04T11:46:12Z
date_published: 2020-09-10T00:00:00Z
date_updated: 2024-03-12T12:02:00Z
day: '10'
department:
- _id: RoSe
doi: 10.4171/owr/2019/41
intvolume: ' 16'
issue: '3'
language:
- iso: eng
month: '09'
oa_version: None
page: 2541-2603
publication: Oberwolfach Reports
publication_identifier:
issn:
- 1660-8933
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
status: public
title: Many-body quantum systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '80'
abstract:
- lang: eng
text: 'We consider an interacting, dilute Bose gas trapped in a harmonic potential
at a positive temperature. The system is analyzed in a combination of a thermodynamic
and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature
T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering
length is so small that the interaction energy per particle around the center
of the trap is of the same order of magnitude as the spectral gap in the trap.
We prove that the difference between the canonical free energy of the interacting
gas and the one of the noninteracting system can be obtained by minimizing the
GP energy functional. We also prove Bose–Einstein condensation in the following
sense: The one-particle density matrix of any approximate minimizer of the canonical
free energy functional is to leading order given by that of the noninteracting
gas but with the free condensate wavefunction replaced by the GP minimizer.'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute,
trapped gas at positive temperature. Communications in Mathematical Physics.
2019;368(2):723-776. doi:10.1007/s00220-018-3239-0
apa: Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation
in a dilute, trapped gas at positive temperature. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0
chicago: Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein
Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications
in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.
ieee: A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in
a dilute, trapped gas at positive temperature,” Communications in Mathematical
Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019.
ista: Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a
dilute, trapped gas at positive temperature. Communications in Mathematical Physics.
368(2), 723–776.
mla: Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped
Gas at Positive Temperature.” Communications in Mathematical Physics, vol.
368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
short: A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics
368 (2019) 723–776.
date_created: 2018-12-11T11:44:31Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2023-08-24T14:27:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-018-3239-0
ec_funded: 1
external_id:
isi:
- '000467796800007'
file:
- access_level: open_access
checksum: c7e9880b43ac726712c1365e9f2f73a6
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T10:34:06Z
date_updated: 2020-07-14T12:48:07Z
file_id: '5688'
file_name: 2018_CommunMathPhys_Deuchert.pdf
file_size: 893902
relation: main_file
file_date_updated: 2020-07-14T12:48:07Z
has_accepted_license: '1'
intvolume: ' 368'
isi: 1
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 723-776
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '7974'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bose–Einstein condensation in a dilute, trapped gas at positive temperature
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 368
year: '2019'
...
---
_id: '6788'
abstract:
- lang: eng
text: We consider the Nelson model with ultraviolet cutoff, which describes the
interaction between non-relativistic particles and a positive or zero mass quantized
scalar field. We take the non-relativistic particles to obey Fermi statistics
and discuss the time evolution in a mean-field limit of many fermions. In this
case, the limit is known to be also a semiclassical limit. We prove convergence
in terms of reduced density matrices of the many-body state to a tensor product
of a Slater determinant with semiclassical structure and a coherent state, which
evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
citation:
ama: Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions.
Annales Henri Poincare. 2019;20(10):3471–3508. doi:10.1007/s00023-019-00828-w
apa: Leopold, N. K., & Petrat, S. P. (2019). Mean-field dynamics for the Nelson
model with fermions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-019-00828-w
chicago: Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson
Model with Fermions.” Annales Henri Poincare. Springer Nature, 2019. https://doi.org/10.1007/s00023-019-00828-w.
ieee: N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model
with fermions,” Annales Henri Poincare, vol. 20, no. 10. Springer Nature,
pp. 3471–3508, 2019.
ista: Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with
fermions. Annales Henri Poincare. 20(10), 3471–3508.
mla: Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson
Model with Fermions.” Annales Henri Poincare, vol. 20, no. 10, Springer
Nature, 2019, pp. 3471–3508, doi:10.1007/s00023-019-00828-w.
short: N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.
date_created: 2019-08-11T21:59:21Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2023-08-29T07:09:06Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00023-019-00828-w
ec_funded: 1
external_id:
arxiv:
- '1807.06781'
isi:
- '000487036900008'
file:
- access_level: open_access
checksum: b6dbf0d837d809293d449adf77138904
content_type: application/pdf
creator: dernst
date_created: 2019-08-12T12:05:58Z
date_updated: 2020-07-14T12:47:40Z
file_id: '6801'
file_name: 2019_AnnalesHenriPoincare_Leopold.pdf
file_size: 681139
relation: main_file
file_date_updated: 2020-07-14T12:47:40Z
has_accepted_license: '1'
intvolume: ' 20'
isi: 1
issue: '10'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 3471–3508
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Annales Henri Poincare
publication_identifier:
eissn:
- 1424-0661
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mean-field dynamics for the Nelson model with fermions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 20
year: '2019'
...
---
_id: '6840'
abstract:
- lang: eng
text: "We discuss thermodynamic properties of harmonically trapped\r\nimperfect
quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition
of the mean-field interparticle potential energy as compared\r\nto the homogeneous
case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number
of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and
a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments
that this model corresponds to the limiting case of\r\na long-ranged interparticle
potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation
similar to the well-known Kac scaling\r\nprocedure, which is presented here in
a form adapted to the case of an isotropic\r\nharmonic trap. We show that within
the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein
condensation provided d > 1.\r\nThe main result of our analysis is that in d =
1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically
equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters
aF and aB fulfill\r\nthe relation aB + aF = \x1F. This result supplements similar
recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform
imperfect\r\nrepulsive Bose and attractive Fermi gases."
article_number: '063101'
article_processing_charge: No
author:
- first_name: Krzysztof
full_name: Mysliwy, Krzysztof
id: 316457FC-F248-11E8-B48F-1D18A9856A87
last_name: Mysliwy
- first_name: Marek
full_name: Napiórkowski, Marek
last_name: Napiórkowski
citation:
ama: 'Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum
gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment.
2019;2019(6). doi:10.1088/1742-5468/ab190d'
apa: 'Mysliwy, K., & Napiórkowski, M. (2019). Thermodynamics of inhomogeneous
imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics:
Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab190d'
chicago: 'Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous
Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics:
Theory and Experiment. IOP Publishing, 2019. https://doi.org/10.1088/1742-5468/ab190d.'
ieee: 'K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect
quantum gases in harmonic traps,” Journal of Statistical Mechanics: Theory
and Experiment, vol. 2019, no. 6. IOP Publishing, 2019.'
ista: 'Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect
quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and
Experiment. 2019(6), 063101.'
mla: 'Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous
Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:10.1088/1742-5468/ab190d.'
short: 'K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and
Experiment 2019 (2019).'
date_created: 2019-09-01T22:00:59Z
date_published: 2019-06-13T00:00:00Z
date_updated: 2023-08-29T07:19:13Z
day: '13'
department:
- _id: RoSe
doi: 10.1088/1742-5468/ab190d
ec_funded: 1
external_id:
arxiv:
- '1810.02209'
isi:
- '000471650100001'
intvolume: ' 2019'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1810.02209
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
eissn:
- 1742-5468
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2019
year: '2019'
...
---
_id: '7100'
abstract:
- lang: eng
text: We present microscopic derivations of the defocusing two-dimensional cubic
nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting froman
interacting N-particle system of bosons. We consider the interaction potential
to be given either by Wβ(x)=N−1+2βW(Nβx), for any β>0, or to be given by VN(x)=e2NV(eNx),
for some spherical symmetric, nonnegative and compactly supported W,V∈L∞(R2,R).
In both cases we prove the convergence of the reduced density corresponding to
the exact time evolution to the projector onto the solution of the corresponding
nonlinear Schrödinger equation in trace norm. For the latter potential VN we show
that it is crucial to take the microscopic structure of the condensate into account
in order to obtain the correct dynamics.
acknowledgement: OA fund by IST Austria
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Maximilian
full_name: Jeblick, Maximilian
last_name: Jeblick
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
citation:
ama: Jeblick M, Leopold NK, Pickl P. Derivation of the time dependent Gross–Pitaevskii
equation in two dimensions. Communications in Mathematical Physics. 2019;372(1):1-69.
doi:10.1007/s00220-019-03599-x
apa: Jeblick, M., Leopold, N. K., & Pickl, P. (2019). Derivation of the time
dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical
Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03599-x
chicago: Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of
the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications
in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03599-x.
ieee: M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent
Gross–Pitaevskii equation in two dimensions,” Communications in Mathematical
Physics, vol. 372, no. 1. Springer Nature, pp. 1–69, 2019.
ista: Jeblick M, Leopold NK, Pickl P. 2019. Derivation of the time dependent Gross–Pitaevskii
equation in two dimensions. Communications in Mathematical Physics. 372(1), 1–69.
mla: Jeblick, Maximilian, et al. “Derivation of the Time Dependent Gross–Pitaevskii
Equation in Two Dimensions.” Communications in Mathematical Physics, vol.
372, no. 1, Springer Nature, 2019, pp. 1–69, doi:10.1007/s00220-019-03599-x.
short: M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics
372 (2019) 1–69.
date_created: 2019-11-25T08:08:02Z
date_published: 2019-11-08T00:00:00Z
date_updated: 2023-09-06T10:47:43Z
day: '08'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00220-019-03599-x
ec_funded: 1
external_id:
isi:
- '000495193700002'
file:
- access_level: open_access
checksum: cd283b475dd739e04655315abd46f528
content_type: application/pdf
creator: dernst
date_created: 2019-11-25T08:11:11Z
date_updated: 2020-07-14T12:47:49Z
file_id: '7101'
file_name: 2019_CommMathPhys_Jeblick.pdf
file_size: 884469
relation: main_file
file_date_updated: 2020-07-14T12:47:49Z
has_accepted_license: '1'
intvolume: ' 372'
isi: 1
issue: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 1-69
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Derivation of the time dependent Gross–Pitaevskii equation in two dimensions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 372
year: '2019'
...
---
_id: '7413'
abstract:
- lang: eng
text: We consider Bose gases consisting of N particles trapped in a box with volume
one and interacting through a repulsive potential with scattering length of order
N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy
excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s
predictions.
article_processing_charge: No
article_type: original
author:
- first_name: Chiara
full_name: Boccato, Chiara
id: 342E7E22-F248-11E8-B48F-1D18A9856A87
last_name: Boccato
- first_name: Christian
full_name: Brennecke, Christian
last_name: Brennecke
- first_name: Serena
full_name: Cenatiempo, Serena
last_name: Cenatiempo
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
citation:
ama: Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii
limit. Acta Mathematica. 2019;222(2):219-335. doi:10.4310/acta.2019.v222.n2.a1
apa: Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2019). Bogoliubov
theory in the Gross–Pitaevskii limit. Acta Mathematica. International Press
of Boston. https://doi.org/10.4310/acta.2019.v222.n2.a1
chicago: Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein.
“Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica. International
Press of Boston, 2019. https://doi.org/10.4310/acta.2019.v222.n2.a1.
ieee: C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory
in the Gross–Pitaevskii limit,” Acta Mathematica, vol. 222, no. 2. International
Press of Boston, pp. 219–335, 2019.
ista: Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in
the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.
mla: Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.”
Acta Mathematica, vol. 222, no. 2, International Press of Boston, 2019,
pp. 219–335, doi:10.4310/acta.2019.v222.n2.a1.
short: C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222
(2019) 219–335.
date_created: 2020-01-30T09:30:41Z
date_published: 2019-06-07T00:00:00Z
date_updated: 2023-09-06T15:24:31Z
day: '07'
department:
- _id: RoSe
doi: 10.4310/acta.2019.v222.n2.a1
external_id:
arxiv:
- '1801.01389'
isi:
- '000495865300001'
intvolume: ' 222'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1801.01389
month: '06'
oa: 1
oa_version: Preprint
page: 219-335
publication: Acta Mathematica
publication_identifier:
eissn:
- 1871-2509
issn:
- 0001-5962
publication_status: published
publisher: International Press of Boston
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bogoliubov theory in the Gross–Pitaevskii limit
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 222
year: '2019'
...
---
_id: '5856'
abstract:
- lang: eng
text: We give a bound on the ground-state energy of a system of N non-interacting
fermions in a three-dimensional cubic box interacting with an impurity particle
via point interactions. We show that the change in energy compared to the system
in the absence of the impurity is bounded in terms of the gas density and the
scattering length of the interaction, independently of N. Our bound holds as long
as the ratio of the mass of the impurity to the one of the gas particles is larger
than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently
showed stability of the system.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Moser T, Seiringer R. Energy contribution of a point-interacting impurity in
a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0
apa: Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting
impurity in a Fermi gas. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-00757-0
chicago: Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting
Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.
ieee: T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity
in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4. Springer, pp.
1325–1365, 2019.
ista: Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity
in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.
mla: Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting
Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer,
2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.
short: T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
date_created: 2019-01-20T22:59:17Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2023-09-07T12:37:42Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00023-018-00757-0
ec_funded: 1
external_id:
arxiv:
- '1807.00739'
isi:
- '000462444300008'
file:
- access_level: open_access
checksum: 255e42f957a8e2b10aad2499c750a8d6
content_type: application/pdf
creator: dernst
date_created: 2019-01-28T15:27:17Z
date_updated: 2020-07-14T12:47:12Z
file_id: '5894'
file_name: 2019_Annales_Moser.pdf
file_size: 859846
relation: main_file
file_date_updated: 2020-07-14T12:47:12Z
has_accepted_license: '1'
intvolume: ' 20'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 1325–1365
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Annales Henri Poincare
publication_identifier:
issn:
- '14240637'
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
- id: '52'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Energy contribution of a point-interacting impurity in a Fermi gas
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 20
year: '2019'
...
---
_id: '7524'
abstract:
- lang: eng
text: "We prove a lower bound for the free energy (per unit volume) of the two-dimensional
Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$
and inverse temperature $\\beta$ differs from the one of the non-interacting system
by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$.
Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ =
\\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless
critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho
\\ll 1$ and if $\\beta \\rho \\gtrsim 1$."
article_processing_charge: No
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Simon
full_name: Mayer, Simon
id: 30C4630A-F248-11E8-B48F-1D18A9856A87
last_name: Mayer
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute
Bose gas. I. Lower bound. arXiv:191003372.
apa: Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the
two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372. ArXiv.
chicago: Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy
of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372.
ArXiv, n.d.
ieee: A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional
dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv.
ista: Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute
Bose gas. I. Lower bound. arXiv:1910.03372, .
mla: Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose
Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.
short: A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
date_created: 2020-02-26T08:46:40Z
date_published: 2019-10-08T00:00:00Z
date_updated: 2023-09-07T13:12:41Z
day: '08'
department:
- _id: RoSe
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.03372
month: '10'
oa: 1
oa_version: Preprint
page: '61'
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: arXiv:1910.03372
publication_status: draft
publisher: ArXiv
related_material:
record:
- id: '7790'
relation: later_version
status: public
- id: '7514'
relation: dissertation_contains
status: public
scopus_import: 1
status: public
title: The free energy of the two-dimensional dilute Bose gas. I. Lower bound
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '7226'
article_number: '123504'
article_processing_charge: No
article_type: letter_note
author:
- first_name: Vojkan
full_name: Jaksic, Vojkan
last_name: Jaksic
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Jaksic V, Seiringer R. Introduction to the Special Collection: International
Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics.
2019;60(12). doi:10.1063/1.5138135'
apa: 'Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection:
International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical
Physics. AIP Publishing. https://doi.org/10.1063/1.5138135'
chicago: 'Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection:
International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical
Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.'
ieee: 'V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International
Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics,
vol. 60, no. 12. AIP Publishing, 2019.'
ista: 'Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International
Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics.
60(12), 123504.'
mla: 'Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection:
International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical
Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135.'
short: V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
date_created: 2020-01-05T23:00:46Z
date_published: 2019-12-01T00:00:00Z
date_updated: 2024-02-28T13:01:45Z
day: '01'
ddc:
- '500'
department:
- _id: RoSe
doi: 10.1063/1.5138135
external_id:
isi:
- '000505529800002'
file:
- access_level: open_access
checksum: bbd12ad1999a9ad7ba4d3c6f2e579c22
content_type: application/pdf
creator: dernst
date_created: 2020-01-07T14:59:13Z
date_updated: 2020-07-14T12:47:54Z
file_id: '7244'
file_name: 2019_JournalMathPhysics_Jaksic.pdf
file_size: 1025015
relation: main_file
file_date_updated: 2020-07-14T12:47:54Z
has_accepted_license: '1'
intvolume: ' 60'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
issn:
- '00222488'
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Introduction to the Special Collection: International Congress on Mathematical
Physics (ICMP) 2018'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 60
year: '2019'
...
---
_id: '7015'
abstract:
- lang: eng
text: We modify the "floating crystal" trial state for the classical homogeneous
electron gas (also known as jellium), in order to suppress the boundary charge
fluctuations that are known to lead to a macroscopic increase of the energy. The
argument is to melt a thin layer of the crystal close to the boundary and consequently
replace it by an incompressible fluid. With the aid of this trial state we show
that three different definitions of the ground-state energy of jellium coincide.
In the first point of view the electrons are placed in a neutralizing uniform
background. In the second definition there is no background but the electrons
are submitted to the constraint that their density is constant, as is appropriate
in density functional theory. Finally, in the third system each electron interacts
with a periodic image of itself; that is, periodic boundary conditions are imposed
on the interaction potential.
article_number: '035127'
article_processing_charge: No
article_type: original
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge
fluctuations. Physical Review B. 2019;100(3). doi:10.1103/physrevb.100.035127
apa: Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal
with no boundary charge fluctuations. Physical Review B. American Physical
Society. https://doi.org/10.1103/physrevb.100.035127
chicago: Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner
Crystal with No Boundary Charge Fluctuations.” Physical Review B. American
Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127.
ieee: M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary
charge fluctuations,” Physical Review B, vol. 100, no. 3. American Physical
Society, 2019.
ista: Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary
charge fluctuations. Physical Review B. 100(3), 035127.
mla: Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.”
Physical Review B, vol. 100, no. 3, 035127, American Physical Society,
2019, doi:10.1103/physrevb.100.035127.
short: M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
date_created: 2019-11-13T08:41:48Z
date_published: 2019-07-25T00:00:00Z
date_updated: 2024-02-28T13:13:23Z
day: '25'
department:
- _id: RoSe
doi: 10.1103/physrevb.100.035127
ec_funded: 1
external_id:
arxiv:
- '1905.09138'
isi:
- '000477888200001'
intvolume: ' 100'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1905.09138
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Floating Wigner crystal with no boundary charge fluctuations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 100
year: '2019'
...
---
_id: '11'
abstract:
- lang: eng
text: We report on a novel strategy to derive mean-field limits of quantum mechanical
systems in which a large number of particles weakly couple to a second-quantized
radiation field. The technique combines the method of counting and the coherent
state approach to study the growth of the correlations among the particles and
in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon
system of equations from the Nelson model with ultraviolet cutoff and possibly
massless scalar field. In particular, we prove the convergence of the reduced
density matrices (of the nonrelativistic particles and the field bosons) associated
with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon
equations in trace norm. Furthermore, we derive explicit bounds on the rate of
convergence of the one-particle reduced density matrix of the nonrelativistic
particles in Sobolev norm.
author:
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
citation:
ama: 'Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised
radiation fields. In: Vol 270. Springer; 2018:185-214. doi:10.1007/978-3-030-01602-9_9'
apa: 'Leopold, N. K., & Pickl, P. (2018). Mean-field limits of particles in
interaction with quantised radiation fields (Vol. 270, pp. 185–214). Presented
at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany: Springer.
https://doi.org/10.1007/978-3-030-01602-9_9'
chicago: Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in
Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. https://doi.org/10.1007/978-3-030-01602-9_9.
ieee: 'N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction
with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits
of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214.'
ista: 'Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction
with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems
vol. 270, 185–214.'
mla: Leopold, Nikolai K., and Peter Pickl. Mean-Field Limits of Particles in
Interaction with Quantised Radiation Fields. Vol. 270, Springer, 2018, pp.
185–214, doi:10.1007/978-3-030-01602-9_9.
short: N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.
conference:
end_date: 2017-04-01
location: Munich, Germany
name: 'MaLiQS: Macroscopic Limits of Quantum Systems'
start_date: 2017-03-30
date_created: 2018-12-11T11:44:08Z
date_published: 2018-10-27T00:00:00Z
date_updated: 2021-01-12T06:48:16Z
day: '27'
department:
- _id: RoSe
doi: 10.1007/978-3-030-01602-9_9
ec_funded: 1
external_id:
arxiv:
- '1806.10843'
intvolume: ' 270'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1806.10843
month: '10'
oa: 1
oa_version: Preprint
page: 185 - 214
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication_status: published
publisher: Springer
publist_id: '8045'
quality_controlled: '1'
scopus_import: 1
status: public
title: Mean-field limits of particles in interaction with quantised radiation fields
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 270
year: '2018'
...
---
_id: '554'
abstract:
- lang: eng
text: We analyse the canonical Bogoliubov free energy functional in three dimensions
at low temperatures in the dilute limit. We prove existence of a first-order phase
transition and, in the limit (Formula presented.), we determine the critical temperature
to be (Formula presented.) to leading order. Here, (Formula presented.) is the
critical temperature of the free Bose gas, ρ is the density of the gas and a is
the scattering length of the pair-interaction potential V. We also prove asymptotic
expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula
in the limit (Formula presented.).
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: 'Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional
II: The dilute Limit. Communications in Mathematical Physics. 2018;360(1):347-403.
doi:10.1007/s00220-017-3064-x'
apa: 'Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). The Bogoliubov
free energy functional II: The dilute Limit. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-017-3064-x'
chicago: 'Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov
Free Energy Functional II: The Dilute Limit.” Communications in Mathematical
Physics. Springer, 2018. https://doi.org/10.1007/s00220-017-3064-x.'
ieee: 'M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy
functional II: The dilute Limit,” Communications in Mathematical Physics,
vol. 360, no. 1. Springer, pp. 347–403, 2018.'
ista: 'Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional
II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403.'
mla: 'Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II:
The Dilute Limit.” Communications in Mathematical Physics, vol. 360, no.
1, Springer, 2018, pp. 347–403, doi:10.1007/s00220-017-3064-x.'
short: M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical
Physics 360 (2018) 347–403.
date_created: 2018-12-11T11:47:09Z
date_published: 2018-05-01T00:00:00Z
date_updated: 2021-01-12T08:02:35Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00220-017-3064-x
external_id:
arxiv:
- '1511.05953'
intvolume: ' 360'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1511.05953
month: '05'
oa: 1
oa_version: Submitted Version
page: 347-403
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- '00103616'
publication_status: published
publisher: Springer
publist_id: '7260'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The Bogoliubov free energy functional II: The dilute Limit'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 360
year: '2018'
...
---
_id: '399'
abstract:
- lang: eng
text: Following an earlier calculation in 3D, we calculate the 2D critical temperature
of a dilute, translation-invariant Bose gas using a variational formulation of
the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This
provides the first analytical calculation of the Kosterlitz-Thouless transition
temperature that includes the constant in the logarithm.
acknowledgement: We thank Robert Seiringer and Daniel Ueltschi for bringing the issue
of the change in critical temperature to our attention. We also thank the Erwin
Schrödinger Institute (all authors) and the Department of Mathematics, University
of Copenhagen (MN) for the hospitality during the period this work was carried out.
We gratefully acknowledge the financial support by the European Unions Seventh Framework
Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR)
as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant
No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430
and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).
article_number: '10007'
article_processing_charge: No
article_type: original
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature
of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1).
doi:10.1209/0295-5075/121/10007
apa: Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of
the critical temperature of a dilute Bose gas in the Bogoliubov approximation.
EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/121/10007
chicago: Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of
the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.”
EPL. IOP Publishing Ltd., 2018. https://doi.org/10.1209/0295-5075/121/10007.
ieee: M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical
temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL,
vol. 121, no. 1. IOP Publishing Ltd., 2018.
ista: Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature
of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.
mla: Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of
a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no.
1, 10007, IOP Publishing Ltd., 2018, doi:10.1209/0295-5075/121/10007.
short: M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).
date_created: 2018-12-11T11:46:15Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2023-09-08T13:30:51Z
day: '01'
department:
- _id: RoSe
doi: 10.1209/0295-5075/121/10007
external_id:
arxiv:
- '1706.01822'
isi:
- '000460003000003'
intvolume: ' 121'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1706.01822
month: '01'
oa: 1
oa_version: Preprint
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call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: EPL
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '7432'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov
approximation
type: journal_article
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volume: 121
year: '2018'
...
---
_id: '295'
abstract:
- lang: eng
text: We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional
anyon gas. Our bounds are extensive in the particle number, as for fermions, and
linear in the statistics parameter (Formula presented.). The lower bounds extend
to Lieb–Thirring inequalities for all anyons except bosons.
acknowledgement: Financial support from the Swedish Research Council, grant no. 2013-4734
(D. L.), the European Research Council (ERC) under the European Union’s Horizon
2020 research and innovation programme (grant agreement No 694227, R. S.), and by
the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully
acknowledged.
article_processing_charge: No
author:
- first_name: Douglas
full_name: Lundholm, Douglas
last_name: Lundholm
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in
Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y
apa: Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons.
Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y
chicago: Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.”
Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.
ieee: D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters
in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.
ista: Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters
in Mathematical Physics. 108(11), 2523–2541.
mla: Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.”
Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp.
2523–41, doi:10.1007/s11005-018-1091-y.
short: D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
date_created: 2018-12-11T11:45:40Z
date_published: 2018-05-11T00:00:00Z
date_updated: 2023-09-11T14:01:57Z
day: '11'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-018-1091-y
ec_funded: 1
external_id:
arxiv:
- '1712.06218'
isi:
- '000446491500008'
file:
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checksum: 8beb9632fa41bbd19452f55f31286a31
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T12:14:17Z
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file_id: '5698'
file_name: 2018_LettMathPhys_Lundholm.pdf
file_size: 551996
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file_date_updated: 2020-07-14T12:45:55Z
has_accepted_license: '1'
intvolume: ' 108'
isi: 1
issue: '11'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 2523-2541
project:
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call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '7586'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fermionic behavior of ideal anyons
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 108
year: '2018'
...
---
_id: '400'
abstract:
- lang: eng
text: We consider the two-dimensional BCS functional with a radial pair interaction.
We show that the translational symmetry is not broken in a certain temperature
interval below the critical temperature. In the case of vanishing angular momentum,
our results carry over to the three-dimensional case.
article_processing_charge: Yes (via OA deal)
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Alissa
full_name: Geisinge, Alissa
last_name: Geisinge
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Michael
full_name: Loss, Michael
last_name: Loss
citation:
ama: Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry
in the BCS model with radial pair interaction. Annales Henri Poincare.
2018;19(5):1507-1527. doi:10.1007/s00023-018-0665-7
apa: Deuchert, A., Geisinge, A., Hainzl, C., & Loss, M. (2018). Persistence
of translational symmetry in the BCS model with radial pair interaction. Annales
Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-0665-7
chicago: Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss.
“Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.”
Annales Henri Poincare. Springer, 2018. https://doi.org/10.1007/s00023-018-0665-7.
ieee: A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational
symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare,
vol. 19, no. 5. Springer, pp. 1507–1527, 2018.
ista: Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational
symmetry in the BCS model with radial pair interaction. Annales Henri Poincare.
19(5), 1507–1527.
mla: Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS
Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no.
5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.
short: A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018)
1507–1527.
date_created: 2018-12-11T11:46:15Z
date_published: 2018-05-01T00:00:00Z
date_updated: 2023-09-15T12:04:15Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00023-018-0665-7
ec_funded: 1
external_id:
isi:
- '000429799900008'
file:
- access_level: open_access
checksum: 04d2c9bd7cbf3ca1d7acaaf4e7dca3e5
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:47Z
date_updated: 2020-07-14T12:46:22Z
file_id: '4966'
file_name: IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf
file_size: 582680
relation: main_file
file_date_updated: 2020-07-14T12:46:22Z
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intvolume: ' 19'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 1507 - 1527
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Annales Henri Poincare
publication_status: published
publisher: Springer
publist_id: '7429'
pubrep_id: '1011'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Persistence of translational symmetry in the BCS model with radial pair interaction
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 19
year: '2018'
...
---
_id: '154'
abstract:
- lang: eng
text: We give a lower bound on the ground state energy of a system of two fermions
of one species interacting with two fermions of another species via point interactions.
We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is
stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was
not known whether this 2 + 2 system exhibits a stable region at all or whether
the formation of four-body bound states causes an unbounded spectrum for all mass
ratios, similar to the Thomas effect. Our result gives further evidence for the
stability of the more general N + M system.
acknowledgement: Open access funding provided by Austrian Science Fund (FWF).
article_number: '19'
article_processing_charge: No
article_type: original
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions.
Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3
apa: Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system
with point interactions. Mathematical Physics Analysis and Geometry. Springer.
https://doi.org/10.1007/s11040-018-9275-3
chicago: Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System
with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer,
2018. https://doi.org/10.1007/s11040-018-9275-3.
ieee: T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point
interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no.
3. Springer, 2018.
ista: Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point
interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.
mla: Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System
with Point Interactions.” Mathematical Physics Analysis and Geometry, vol.
21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
short: T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
date_created: 2018-12-11T11:44:55Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2023-09-19T09:31:15Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s11040-018-9275-3
ec_funded: 1
external_id:
isi:
- '000439639700001'
file:
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checksum: 411c4db5700d7297c9cd8ebc5dd29091
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creator: dernst
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date_updated: 2020-07-14T12:45:01Z
file_id: '5729'
file_name: 2018_MathPhysics_Moser.pdf
file_size: 496973
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intvolume: ' 21'
isi: 1
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
call_identifier: FWF
name: FWF Open Access Fund
publication: Mathematical Physics Analysis and Geometry
publication_identifier:
eissn:
- '15729656'
issn:
- '13850172'
publication_status: published
publisher: Springer
publist_id: '7767'
quality_controlled: '1'
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stability of the 2+2 fermionic system with point interactions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 21
year: '2018'
...
---
_id: '455'
abstract:
- lang: eng
text: The derivation of effective evolution equations is central to the study of
non-stationary quantum many-body systems, and widely used in contexts such as
superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry.
We reformulate the Dirac–Frenkel approximation principle in terms of reduced density
matrices and apply it to fermionic and bosonic many-body systems. We obtain the
Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While
we do not prove quantitative error estimates, our formulation does show that the
approximation is optimal within the class of quasifree states. Furthermore, we
prove well-posedness of the Bogoliubov–de Gennes equations in energy space and
discuss conserved quantities
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). The authors acknowledge support by ERC Advanced Grant 321029 and
by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors
would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen
Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes
equations.
alternative_title:
- Annales Henri Poincare
article_processing_charge: No
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Jérémy
full_name: Sok, Jérémy
last_name: Sok
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density
matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare.
2018;19(4):1167-1214. doi:10.1007/s00023-018-0644-z
apa: Benedikter, N. P., Sok, J., & Solovej, J. (2018). The Dirac–Frenkel principle
for reduced density matrices and the Bogoliubov–de Gennes equations. Annales
Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-018-0644-z
chicago: Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle
for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales
Henri Poincare. Birkhäuser, 2018. https://doi.org/10.1007/s00023-018-0644-z.
ieee: N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for
reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri
Poincare, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.
ista: Benedikter NP, Sok J, Solovej J. 2018. The Dirac–Frenkel principle for reduced
density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare.
19(4), 1167–1214.
mla: Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density
Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare,
vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z.
short: N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.
date_created: 2018-12-11T11:46:34Z
date_published: 2018-04-01T00:00:00Z
date_updated: 2023-09-19T10:07:41Z
day: '01'
ddc:
- '510'
- '539'
department:
- _id: RoSe
doi: 10.1007/s00023-018-0644-z
external_id:
isi:
- '000427578900006'
file:
- access_level: open_access
checksum: 883eeccba8384ad7fcaa28761d99a0fa
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:57Z
date_updated: 2020-07-14T12:46:31Z
file_id: '4914'
file_name: IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf
file_size: 923252
relation: main_file
file_date_updated: 2020-07-14T12:46:31Z
has_accepted_license: '1'
intvolume: ' 19'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 1167 - 1214
publication: Annales Henri Poincare
publication_status: published
publisher: Birkhäuser
publist_id: '7367'
pubrep_id: '993'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de
Gennes equations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 19
year: '2018'
...
---
_id: '446'
abstract:
- lang: eng
text: We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge
Z > 0 can bind at most Z + C electrons, where C is a universal constant. This
result is obtained through a comparison with Thomas-Fermi theory which, as a by-product,
gives bounds on the screened nuclear potential and the radius of the minimizer.
A key ingredient of the proof is a novel technique to control the particles in
the exterior region, which also applies to the liquid drop model with a nuclear
background potential.
acknowledgement: "We thank the referee for helpful suggestions that improved the presentation
of the paper. We also acknowledge partial support by National Science Foundation
Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27
(P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa
Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática”
(H.V.D.B.).\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Nam
full_name: Phan Thanh, Nam
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Phan Thanh
- first_name: Hanne
full_name: Van Den Bosch, Hanne
last_name: Van Den Bosch
citation:
ama: Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von
Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614.
doi:10.1002/cpa.21717
apa: Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture
in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied
Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717
chicago: Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture
in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied
Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717.
ieee: R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von
Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol.
71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.
ista: Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von
Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614.
mla: Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von
Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol.
71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717.
short: R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics
71 (2018) 577–614.
date_created: 2018-12-11T11:46:31Z
date_published: 2018-03-01T00:00:00Z
date_updated: 2023-09-19T10:09:40Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.21717
external_id:
arxiv:
- '1606.07355'
isi:
- '000422675800004'
intvolume: ' 71'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1606.07355
month: '03'
oa: 1
oa_version: Preprint
page: 577 - 614
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley-Blackwell
publist_id: '7377'
quality_controlled: '1'
status: public
title: The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 71
year: '2018'
...
---
_id: '5983'
abstract:
- lang: eng
text: We study a quantum impurity possessing both translational and internal rotational
degrees of freedom interacting with a bosonic bath. Such a system corresponds
to a “rotating polaron,” which can be used to model, e.g., a rotating molecule
immersed in an ultracold Bose gas or superfluid helium. We derive the Hamiltonian
of the rotating polaron and study its spectrum in the weak- and strong-coupling
regimes using a combination of variational, diagrammatic, and mean-field approaches.
We reveal how the coupling between linear and angular momenta affects stable quasiparticle
states, and demonstrate that internal rotation leads to an enhanced self-localization
in the translational degrees of freedom.
article_number: '224506'
article_processing_charge: No
author:
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
- first_name: Bikashkali
full_name: Midya, Bikashkali
id: 456187FC-F248-11E8-B48F-1D18A9856A87
last_name: Midya
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
citation:
ama: 'Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating
polaron: Spectrum and self-localization. Physical Review B. 2018;98(22).
doi:10.1103/physrevb.98.224506'
apa: 'Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., & Lemeshko, M.
(2018). Theory of the rotating polaron: Spectrum and self-localization. Physical
Review B. American Physical Society. https://doi.org/10.1103/physrevb.98.224506'
chicago: 'Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold,
and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.”
Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/physrevb.98.224506.'
ieee: 'E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory
of the rotating polaron: Spectrum and self-localization,” Physical Review B,
vol. 98, no. 22. American Physical Society, 2018.'
ista: 'Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of
the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22),
224506.'
mla: 'Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and
Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American
Physical Society, 2018, doi:10.1103/physrevb.98.224506.'
short: E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical
Review B 98 (2018).
date_created: 2019-02-14T10:37:09Z
date_published: 2018-12-12T00:00:00Z
date_updated: 2023-09-19T14:29:03Z
day: '12'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1103/physrevb.98.224506
ec_funded: 1
external_id:
arxiv:
- '1809.01204'
isi:
- '000452992700008'
intvolume: ' 98'
isi: 1
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1809.01204
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Theory of the rotating polaron: Spectrum and self-localization'
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 98
year: '2018'
...
---
_id: '6002'
abstract:
- lang: eng
text: The Bogoliubov free energy functional is analysed. The functional serves as
a model of a translation-invariant Bose gas at positive temperature. We prove
the existence of minimizers in the case of repulsive interactions given by a sufficiently
regular two-body potential. Furthermore, we prove the existence of a phase transition
in this model and provide its phase diagram.
article_processing_charge: No
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan Philip
full_name: Solovej, Jan Philip
last_name: Solovej
citation:
ama: 'Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional
I: Existence of minimizers and phase diagram. Archive for Rational Mechanics
and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6'
apa: 'Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov
free energy functional I: Existence of minimizers and phase diagram. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6'
chicago: 'Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov
Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.'
ieee: 'M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy
functional I: Existence of minimizers and phase diagram,” Archive for Rational
Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.'
ista: 'Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy
functional I: Existence of minimizers and phase diagram. Archive for Rational
Mechanics and Analysis. 229(3), 1037–1090.'
mla: 'Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I:
Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics
and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.'
short: M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics
and Analysis 229 (2018) 1037–1090.
date_created: 2019-02-14T13:40:53Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2023-09-19T14:33:12Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-018-1232-6
external_id:
arxiv:
- '1511.05935'
isi:
- '000435367300003'
intvolume: ' 229'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1511.05935
month: '09'
oa: 1
oa_version: Preprint
page: 1037-1090
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Bogoliubov free energy functional I: Existence of minimizers and phase
diagram'
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 229
year: '2018'
...
---
_id: '52'
abstract:
- lang: eng
text: In this thesis we will discuss systems of point interacting fermions, their
stability and other spectral properties. Whereas for bosons a point interacting
system is always unstable this ques- tion is more subtle for a gas of two species
of fermions. In particular the answer depends on the mass ratio between these
two species. Most of this work will be focused on the N + M model which consists
of two species of fermions with N, M particles respectively which interact via
point interactions. We will introduce this model using a formal limit and discuss
the N + 1 system in more detail. In particular, we will show that for mass ratios
above a critical one, which does not depend on the particle number, the N + 1
system is stable. In the context of this model we will prove rigorous versions
of Tan relations which relate various quantities of the point-interacting model.
By restricting the N + 1 system to a box we define a finite density model with
point in- teractions. In the context of this system we will discuss the energy
change when introducing a point-interacting impurity into a system of non-interacting
fermions. We will see that this change in energy is bounded independently of the
particle number and in particular the bound only depends on the density and the
scattering length. As another special case of the N + M model we will show stability
of the 2 + 2 model for mass ratios in an interval around one. Further we will
investigate a different model of point interactions which was discussed before
in the literature and which is, contrary to the N + M model, not given by a limiting
procedure but is based on a Dirichlet form. We will show that this system behaves
trivially in the thermodynamic limit, i.e. the free energy per particle is the
same as the one of the non-interacting system.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
citation:
ama: Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043
apa: Moser, T. (2018). Point interactions in systems of fermions. Institute
of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_1043
chicago: Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of
Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.
ieee: T. Moser, “Point interactions in systems of fermions,” Institute of Science
and Technology Austria, 2018.
ista: Moser T. 2018. Point interactions in systems of fermions. Institute of Science
and Technology Austria.
mla: Moser, Thomas. Point Interactions in Systems of Fermions. Institute
of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043.
short: T. Moser, Point Interactions in Systems of Fermions, Institute of Science
and Technology Austria, 2018.
date_created: 2018-12-11T11:44:22Z
date_published: 2018-09-04T00:00:00Z
date_updated: 2023-09-27T12:34:14Z
day: '04'
ddc:
- '515'
- '530'
- '519'
degree_awarded: PhD
department:
- _id: RoSe
doi: 10.15479/AT:ISTA:th_1043
file:
- access_level: open_access
checksum: fbd8c747d148b468a21213b7cf175225
content_type: application/pdf
creator: dernst
date_created: 2019-04-09T07:45:38Z
date_updated: 2020-07-14T12:46:37Z
file_id: '6256'
file_name: 2018_Thesis_Moser.pdf
file_size: 851164
relation: main_file
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checksum: c28e16ecfc1126d3ce324ec96493c01e
content_type: application/zip
creator: dernst
date_created: 2019-04-09T07:45:38Z
date_updated: 2020-07-14T12:46:37Z
file_id: '6257'
file_name: 2018_Thesis_Moser_Source.zip
file_size: 1531516
relation: source_file
file_date_updated: 2020-07-14T12:46:37Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '115'
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
publist_id: '8002'
pubrep_id: '1043'
related_material:
record:
- id: '5856'
relation: part_of_dissertation
status: public
- id: '154'
relation: part_of_dissertation
status: public
- id: '1198'
relation: part_of_dissertation
status: public
- id: '741'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
title: Point interactions in systems of fermions
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2018'
...
---
_id: '180'
abstract:
- lang: eng
text: In this paper we define and study the classical Uniform Electron Gas (UEG),
a system of infinitely many electrons whose density is constant everywhere in
space. The UEG is defined differently from Jellium, which has a positive constant
background but no constraint on the density. We prove that the UEG arises in Density
Functional Theory in the limit of a slowly varying density, minimizing the indirect
Coulomb energy. We also construct the quantum UEG and compare it to the classical
UEG at low density.
acknowledgement: "This project has received funding from the European Research Council
(ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme
(grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by
the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National
Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged."
article_processing_charge: No
article_type: original
author:
- first_name: Mathieu
full_name: Lewi, Mathieu
last_name: Lewi
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron
gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64
apa: Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the
uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques.
Ecole Polytechnique. https://doi.org/10.5802/jep.64
chicago: Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics
of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques.
Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64.
ieee: M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform
electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5.
Ecole Polytechnique, pp. 79–116, 2018.
ista: Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron
gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.
mla: Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.”
Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique,
2018, pp. 79–116, doi:10.5802/jep.64.
short: M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques
5 (2018) 79–116.
date_created: 2018-12-11T11:45:03Z
date_published: 2018-07-01T00:00:00Z
date_updated: 2023-10-17T08:05:28Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.5802/jep.64
ec_funded: 1
external_id:
arxiv:
- '1705.10676'
file:
- access_level: open_access
checksum: 1ba7cccdf3900f42c4f715ae75d6813c
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T16:38:18Z
date_updated: 2020-07-14T12:45:16Z
file_id: '5726'
file_name: 2018_JournaldeLecoleMath_Lewi.pdf
file_size: 843938
relation: main_file
file_date_updated: 2020-07-14T12:45:16Z
has_accepted_license: '1'
intvolume: ' 5'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 79 - 116
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Journal de l'Ecole Polytechnique - Mathematiques
publication_identifier:
eissn:
- 2270-518X
issn:
- 2429-7100
publication_status: published
publisher: Ecole Polytechnique
publist_id: '7741'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Statistical mechanics of the uniform electron gas
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2018'
...
---
_id: '484'
abstract:
- lang: eng
text: We consider the dynamics of a large quantum system of N identical bosons in
3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed
0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution
in the Nparticle Hilbert space. The leading order behaviour of the dynamics is
determined by Hartree theory while the second order is given by Bogoliubov theory.
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
citation:
ama: Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of
interacting bosons. Advances in Theoretical and Mathematical Physics. 2017;21(3):683-738.
doi:10.4310/ATMP.2017.v21.n3.a4
apa: Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field
dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics.
International Press. https://doi.org/10.4310/ATMP.2017.v21.n3.a4
chicago: Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field
Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics.
International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4.
ieee: P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics
of interacting bosons,” Advances in Theoretical and Mathematical Physics,
vol. 21, no. 3. International Press, pp. 683–738, 2017.
ista: Nam P, Napiórkowski MM. 2017. Bogoliubov correction to the mean-field dynamics
of interacting bosons. Advances in Theoretical and Mathematical Physics. 21(3),
683–738.
mla: Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field
Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics,
vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.
short: P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics
21 (2017) 683–738.
date_created: 2018-12-11T11:46:43Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:58Z
day: '01'
department:
- _id: RoSe
doi: 10.4310/ATMP.2017.v21.n3.a4
ec_funded: 1
intvolume: ' 21'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1509.04631
month: '01'
oa: 1
oa_version: Submitted Version
page: 683 - 738
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Advances in Theoretical and Mathematical Physics
publication_identifier:
issn:
- '10950761'
publication_status: published
publisher: International Press
publist_id: '7336'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bogoliubov correction to the mean-field dynamics of interacting bosons
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2017'
...
---
_id: '632'
abstract:
- lang: eng
text: 'We consider a 2D quantum system of N bosons in a trapping potential |x|s,
interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all
0 < β < (s + 1)/(s + 2), the leading order behavior of ground states of
the many-body system is described in the large N limit by the corresponding cubic
nonlinear Schrödinger energy functional. Our result covers the focusing case (w
< 0) where even the stability of the many-body system is not obvious. This
answers an open question mentioned by X. Chen and J. Holmer for harmonic traps
(s = 2). Together with the BBGKY hierarchy approach used by these authors, our
result implies the convergence of the many-body quantum dynamics to the focusing
NLS equation with harmonic trap for all 0 < β < 3/4. '
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
citation:
ama: Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. Proceedings
of the American Mathematical Society. 2017;145(6):2441-2454. doi:10.1090/proc/13468
apa: Lewin, M., Nam, P., & Rougerie, N. (2017). A note on 2D focusing many boson
systems. Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/proc/13468
chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing
Many Boson Systems.” Proceedings of the American Mathematical Society.
American Mathematical Society, 2017. https://doi.org/10.1090/proc/13468.
ieee: M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,”
Proceedings of the American Mathematical Society, vol. 145, no. 6. American
Mathematical Society, pp. 2441–2454, 2017.
ista: Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems.
Proceedings of the American Mathematical Society. 145(6), 2441–2454.
mla: Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” Proceedings
of the American Mathematical Society, vol. 145, no. 6, American Mathematical
Society, 2017, pp. 2441–54, doi:10.1090/proc/13468.
short: M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society
145 (2017) 2441–2454.
date_created: 2018-12-11T11:47:36Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T08:07:03Z
day: '01'
department:
- _id: RoSe
doi: 10.1090/proc/13468
ec_funded: 1
intvolume: ' 145'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1509.09045
month: '01'
oa: 1
oa_version: Submitted Version
page: 2441 - 2454
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Proceedings of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '7160'
quality_controlled: '1'
scopus_import: 1
status: public
title: A note on 2D focusing many boson systems
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 145
year: '2017'
...
---
_id: '1198'
abstract:
- lang: eng
text: We consider a model of fermions interacting via point interactions, defined
via a certain weighted Dirichlet form. While for two particles the interaction
corresponds to infinite scattering length, the presence of further particles effectively
decreases the interaction strength. We show that the model becomes trivial in
the thermodynamic limit, in the sense that the free energy density at any given
particle density and temperature agrees with the corresponding expression for
non-interacting particles.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_processing_charge: Yes (via OA deal)
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Moser T, Seiringer R. Triviality of a model of particles with point interactions
in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552.
doi:10.1007/s11005-016-0915-x
apa: Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with
point interactions in the thermodynamic limit. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-016-0915-x
chicago: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles
with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical
Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.
ieee: T. Moser and R. Seiringer, “Triviality of a model of particles with point
interactions in the thermodynamic limit,” Letters in Mathematical Physics,
vol. 107, no. 3. Springer, pp. 533–552, 2017.
ista: Moser T, Seiringer R. 2017. Triviality of a model of particles with point
interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3),
533–552.
mla: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with
Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics,
vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
short: T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
date_created: 2018-12-11T11:50:40Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2023-09-20T11:18:13Z
day: '01'
ddc:
- '510'
- '539'
department:
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doi: 10.1007/s11005-016-0915-x
external_id:
isi:
- '000394280200007'
file:
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checksum: c0c835def162c1bc52f978fad26e3c2f
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file_name: IST-2016-723-v1+1_s11005-016-0915-x.pdf
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oa: 1
oa_version: Published Version
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name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
issn:
- '03779017'
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publisher: Springer
publist_id: '6152'
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Triviality of a model of particles with point interactions in the thermodynamic
limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 107
year: '2017'
...
---
_id: '1120'
abstract:
- lang: eng
text: 'The existence of a self-localization transition in the polaron problem has
been under an active debate ever since Landau suggested it 83 years ago. Here
we reveal the self-localization transition for the rotational analogue of the
polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization
of angulons occurs at finite impurity-bath coupling already at the mean-field
level. The transition is accompanied by the spherical-symmetry breaking of the
angulon ground state and a discontinuity in the first derivative of the ground-state
energy. Moreover, the type of the symmetry breaking is dictated by the symmetry
of the microscopic impurity-bath interaction, which leads to a number of distinct
self-localized states. The predicted effects can potentially be addressed in experiments
on cold molecules trapped in superfluid helium droplets and ultracold quantum
gases, as well as on electronic excitations in solids and Bose-Einstein condensates. '
article_number: '033608'
article_processing_charge: No
author:
- first_name: Xiang
full_name: Li, Xiang
id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
last_name: Li
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
citation:
ama: Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating
in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608
apa: Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization
of impurities rotating in a bosonic bath. Physical Review A. American Physical
Society. https://doi.org/10.1103/PhysRevA.95.033608
chicago: Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization
of Impurities Rotating in a Bosonic Bath.” Physical Review A. American
Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.
ieee: X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities
rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American
Physical Society, 2017.
ista: Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities
rotating in a bosonic bath. Physical Review A. 95(3), 033608.
mla: Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic
Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society,
2017, doi:10.1103/PhysRevA.95.033608.
short: X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
date_created: 2018-12-11T11:50:15Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-09-20T11:30:58Z
day: '06'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1103/PhysRevA.95.033608
ec_funded: 1
external_id:
isi:
- '000395981900009'
intvolume: ' 95'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1610.04908
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: 26031614-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P29902
name: Quantum rotations in the presence of a many-body environment
publication: Physical Review A
publication_identifier:
issn:
- '24699926'
publication_status: published
publisher: American Physical Society
publist_id: '6242'
quality_controlled: '1'
related_material:
record:
- id: '8958'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Angular self-localization of impurities rotating in a bosonic bath
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 95
year: '2017'
...
---
_id: '1079'
abstract:
- lang: eng
text: We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory
for atoms and molecules. We prove the nonexistence of minimizers for the energy
functional when the number of electrons is large and the total nuclear charge
is small. This nonexistence result also applies to external potentials decaying
faster than the Coulomb potential. In the case of arbitrary nuclear charges, we
obtain the nonexistence of stable minimizers and radial minimizers.
article_number: '6'
article_processing_charge: No
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Hanne
full_name: Van Den Bosch, Hanne
last_name: Van Den Bosch
citation:
ama: Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory
with small nuclear charges. Mathematical Physics, Analysis and Geometry.
2017;20(2). doi:10.1007/s11040-017-9238-0
apa: Nam, P., & Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von
Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis
and Geometry. Springer. https://doi.org/10.1007/s11040-017-9238-0
chicago: Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von
Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis
and Geometry. Springer, 2017. https://doi.org/10.1007/s11040-017-9238-0.
ieee: P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker
theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry,
vol. 20, no. 2. Springer, 2017.
ista: Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker
theory with small nuclear charges. Mathematical Physics, Analysis and Geometry.
20(2), 6.
mla: Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von
Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis
and Geometry, vol. 20, no. 2, 6, Springer, 2017, doi:10.1007/s11040-017-9238-0.
short: P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20
(2017).
date_created: 2018-12-11T11:50:02Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-09-20T11:53:35Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s11040-017-9238-0
external_id:
isi:
- '000401270000004'
intvolume: ' 20'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1603.07368
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Mathematical Physics, Analysis and Geometry
publication_identifier:
issn:
- '13850172'
publication_status: published
publisher: Springer
publist_id: '6300'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear
charges
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 20
year: '2017'
...
---
_id: '741'
abstract:
- lang: eng
text: We prove that a system of N fermions interacting with an additional particle
via point interactions is stable if the ratio of the mass of the additional particle
to the one of the fermions is larger than some critical m*. The value of m* is
independent of N and turns out to be less than 1. This fact has important implications
for the stability of the unitary Fermi gas. We also characterize the domain of
the Hamiltonian of this model, and establish the validity of the Tan relations
for all wave functions in the domain.
article_processing_charge: No
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point
interactions. Communications in Mathematical Physics. 2017;356(1):329-355.
doi:10.1007/s00220-017-2980-0
apa: Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle
system with point interactions. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-017-2980-0
chicago: Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle
System with Point Interactions.” Communications in Mathematical Physics.
Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.
ieee: T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with
point interactions,” Communications in Mathematical Physics, vol. 356,
no. 1. Springer, pp. 329–355, 2017.
ista: Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with
point interactions. Communications in Mathematical Physics. 356(1), 329–355.
mla: Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle
System with Point Interactions.” Communications in Mathematical Physics,
vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
short: T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017)
329–355.
date_created: 2018-12-11T11:48:15Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2023-09-27T12:34:15Z
day: '01'
ddc:
- '539'
department:
- _id: RoSe
doi: 10.1007/s00220-017-2980-0
ec_funded: 1
external_id:
isi:
- '000409821300010'
file:
- access_level: open_access
checksum: 0fd9435400f91e9b3c5346319a2d24e3
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:50Z
date_updated: 2020-07-14T12:47:57Z
file_id: '4841'
file_name: IST-2017-880-v1+1_s00220-017-2980-0.pdf
file_size: 952639
relation: main_file
file_date_updated: 2020-07-14T12:47:57Z
has_accepted_license: '1'
intvolume: ' 356'
isi: 1
issue: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 329 - 355
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- '00103616'
publication_status: published
publisher: Springer
publist_id: '6926'
pubrep_id: '880'
quality_controlled: '1'
related_material:
record:
- id: '52'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stability of a fermionic N+1 particle system with point interactions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 356
year: '2017'
...
---
_id: '739'
abstract:
- lang: eng
text: We study the norm approximation to the Schrödinger dynamics of N bosons in
with an interaction potential of the form . Assuming that in the initial state
the particles outside of the condensate form a quasi-free state with finite kinetic
energy, we show that in the large N limit, the fluctuations around the condensate
can be effectively described using Bogoliubov approximation for all . The range
of β is expected to be optimal for this large class of initial states.
article_processing_charge: No
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
citation:
ama: Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to
mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688.
doi:10.1016/j.matpur.2017.05.013
apa: Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov
correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées.
Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013
chicago: Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov
Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées.
Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013.
ieee: P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction
to mean field dynamics,” Journal de Mathématiques Pures et Appliquées,
vol. 108, no. 5. Elsevier, pp. 662–688, 2017.
ista: Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction
to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5),
662–688.
mla: Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov
Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées,
vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013.
short: P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108
(2017) 662–688.
date_created: 2018-12-11T11:48:15Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2023-09-27T12:52:07Z
day: '01'
department:
- _id: RoSe
doi: 10.1016/j.matpur.2017.05.013
external_id:
isi:
- '000414113600003'
intvolume: ' 108'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.05240
month: '11'
oa: 1
oa_version: Submitted Version
page: 662 - 688
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Journal de Mathématiques Pures et Appliquées
publication_identifier:
issn:
- '00217824'
publication_status: published
publisher: Elsevier
publist_id: '6928'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on the validity of Bogoliubov correction to mean field dynamics
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 108
year: '2017'
...
---
_id: '997'
abstract:
- lang: eng
text: Recently it was shown that molecules rotating in superfluid helium can be
described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301
(2017)). Here we demonstrate that in the experimentally realized regime the angulon
can be seen as a point charge on a 2-sphere interacting with a gauge field of
a non-abelian magnetic monopole. Unlike in several other settings, the gauge fields
of the angulon problem emerge in the real coordinate space, as opposed to the
momentum space or some effective parameter space. Furthermore, we find a topological
transition associated with making the monopole abelian, which takes place in the
vicinity of the previously reported angulon instabilities. These results pave
the way for studying topological phenomena in experiments on molecules trapped
in superfluid helium nanodroplets, as well as on other realizations of orbital
impurity problems.
article_number: '235301'
article_processing_charge: No
article_type: original
author:
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
citation:
ama: Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles
in a quantum impurity problem. Physical Review Letters. 2017;119(23). doi:10.1103/PhysRevLett.119.235301
apa: Yakaboylu, E., Deuchert, A., & Lemeshko, M. (2017). Emergence of non-abelian
magnetic monopoles in a quantum impurity problem. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/PhysRevLett.119.235301
chicago: Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence
of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical
Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.235301.
ieee: E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic
monopoles in a quantum impurity problem,” Physical Review Letters, vol.
119, no. 23. American Physical Society, 2017.
ista: Yakaboylu E, Deuchert A, Lemeshko M. 2017. Emergence of non-abelian magnetic
monopoles in a quantum impurity problem. Physical Review Letters. 119(23), 235301.
mla: Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in
a Quantum Impurity Problem.” Physical Review Letters, vol. 119, no. 23,
235301, American Physical Society, 2017, doi:10.1103/PhysRevLett.119.235301.
short: E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017).
date_created: 2018-12-11T11:49:36Z
date_published: 2017-12-06T00:00:00Z
date_updated: 2023-10-10T13:31:54Z
day: '06'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1103/PhysRevLett.119.235301
ec_funded: 1
external_id:
arxiv:
- '1705.05162'
isi:
- '000417132100007'
intvolume: ' 119'
isi: 1
issue: '23'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1705.05162
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 26031614-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P29902
name: Quantum rotations in the presence of a many-body environment
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
publist_id: '6401'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Emergence of non-abelian magnetic monopoles in a quantum impurity problem
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 119
year: '2017'
...
---
_id: '912'
abstract:
- lang: eng
text: "We consider a many-body system of fermionic atoms interacting via a local
pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer
(BCS) theory. We measure the free energy of the whole sample with respect to the
free energy of a reference state which allows us to define a BCS functional with
boundary conditions at infinity. Our main result is a lower bound for this energy
functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n"
article_number: '081901'
article_processing_charge: No
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
citation:
ama: Deuchert A. A lower bound for the BCS functional with boundary conditions at
infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580
apa: Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions
at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580
chicago: Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary
Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing,
2017. https://doi.org/10.1063/1.4996580.
ieee: A. Deuchert, “A lower bound for the BCS functional with boundary conditions
at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing,
2017.
ista: Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions
at infinity. Journal of Mathematical Physics. 58(8), 081901.
mla: Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions
at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901,
AIP Publishing, 2017, doi:10.1063/1.4996580.
short: A. Deuchert, Journal of Mathematical Physics 58 (2017).
date_created: 2018-12-11T11:49:10Z
date_published: 2017-08-01T00:00:00Z
date_updated: 2024-02-28T13:07:56Z
day: '01'
department:
- _id: RoSe
doi: 10.1063/1.4996580
ec_funded: 1
external_id:
isi:
- '000409197200015'
intvolume: ' 58'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1703.04616
month: '08'
oa: 1
oa_version: Submitted Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: ' Journal of Mathematical Physics'
publication_identifier:
issn:
- '00222488'
publication_status: published
publisher: AIP Publishing
publist_id: '6531'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A lower bound for the BCS functional with boundary conditions at infinity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2017'
...
---
_id: '1143'
abstract:
- lang: eng
text: We study the ground state of a dilute Bose gas in a scaling limit where the
Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger
functional whose quartic term is proportional to the scattering length of the
interparticle interaction potential. We propose a new derivation of this limit
problem, with a method that bypasses some of the technical difficulties that previous
derivations had to face. The new method is based on a combination of Dyson\'s
lemma, the quantum de Finetti theorem and a second moment estimate for ground
states of the effective Dyson Hamiltonian. It applies equally well to the case
where magnetic fields or rotation are present.
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The
gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485.
doi:10.2140/apde.2016.9.459'
apa: 'Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large
bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE.
Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2016.9.459'
chicago: 'Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large
Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE.
Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.'
ieee: 'P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems:
The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2.
Mathematical Sciences Publishers, pp. 459–485, 2016.'
ista: 'Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems:
The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.'
mla: 'Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii
Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences
Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.'
short: P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
date_created: 2018-12-11T11:50:23Z
date_published: 2016-03-24T00:00:00Z
date_updated: 2021-01-12T06:48:36Z
day: '24'
department:
- _id: RoSe
doi: 10.2140/apde.2016.9.459
ec_funded: 1
intvolume: ' 9'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1503.07061
month: '03'
oa: 1
oa_version: Preprint
page: 459 - 485
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Analysis and PDE
publication_status: published
publisher: Mathematical Sciences Publishers
publist_id: '6215'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Ground states of large bosonic systems: The gross Pitaevskii limit revisited'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
_id: '1259'
abstract:
- lang: eng
text: We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body
system with two-body interactions. For suitable interaction potentials that have
a strong enough attractive tail in order to allow for two-body bound states, but
are otherwise sufficiently repulsive to guarantee stability of the system, we
show that in the low-density limit the ground state of this model consists of
a Bose–Einstein condensate of fermion pairs. The latter can be described by means
of the Gross–Pitaevskii energy functional.
acknowledgement: Partial financial support from the DFG grant GRK 1838, as well as
the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged.
article_number: '13'
article_processing_charge: Yes (via OA deal)
author:
- first_name: Gerhard
full_name: Bräunlich, Gerhard
last_name: Bräunlich
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly
interacting fermions in the low density limit. Mathematical Physics, Analysis
and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x
apa: Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock
theory for strongly interacting fermions in the low density limit. Mathematical
Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9209-x
chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock
Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical
Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.
ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory
for strongly interacting fermions in the low density limit,” Mathematical Physics,
Analysis and Geometry, vol. 19, no. 2. Springer, 2016.
ista: Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for
strongly interacting fermions in the low density limit. Mathematical Physics,
Analysis and Geometry. 19(2), 13.
mla: Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting
Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry,
vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
short: G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and
Geometry 19 (2016).
date_created: 2018-12-11T11:50:59Z
date_published: 2016-06-01T00:00:00Z
date_updated: 2021-01-12T06:49:27Z
day: '01'
ddc:
- '510'
- '539'
department:
- _id: RoSe
doi: 10.1007/s11040-016-9209-x
file:
- access_level: open_access
checksum: 9954f685cc25c58d7f1712c67b47ad8d
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:13Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4736'
file_name: IST-2016-702-v1+1_s11040-016-9209-x.pdf
file_size: 506242
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 19'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Mathematical Physics, Analysis and Geometry
publication_status: published
publisher: Springer
publist_id: '6066'
pubrep_id: '702'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low
density limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2016'
...
---
_id: '1267'
abstract:
- lang: eng
text: We give a simplified proof of the nonexistence of large nuclei in the liquid
drop model and provide an explicit bound. Our bound is within a factor of 2.3
of the conjectured value and seems to be the first quantitative result.
acknowledgement: "Open access funding provided by Institute of Science and Technology
Austria.\r\n"
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Rowan
full_name: Killip, Rowan
last_name: Killip
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
citation:
ama: Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model.
Letters in Mathematical Physics. 2016;106(8):1033-1036. doi:10.1007/s11005-016-0860-8
apa: Frank, R., Killip, R., & Nam, P. (2016). Nonexistence of large nuclei in
the liquid drop model. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0860-8
chicago: Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei
in the Liquid Drop Model.” Letters in Mathematical Physics. Springer, 2016.
https://doi.org/10.1007/s11005-016-0860-8.
ieee: R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid
drop model,” Letters in Mathematical Physics, vol. 106, no. 8. Springer,
pp. 1033–1036, 2016.
ista: Frank R, Killip R, Nam P. 2016. Nonexistence of large nuclei in the liquid
drop model. Letters in Mathematical Physics. 106(8), 1033–1036.
mla: Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.”
Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36,
doi:10.1007/s11005-016-0860-8.
short: R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036.
date_created: 2018-12-11T11:51:02Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2021-01-12T06:49:30Z
day: '01'
ddc:
- '510'
- '539'
department:
- _id: RoSe
doi: 10.1007/s11005-016-0860-8
file:
- access_level: open_access
checksum: d740a6a226e0f5f864f40e3e269d3cc0
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:09Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4863'
file_name: IST-2016-698-v1+1_s11005-016-0860-8.pdf
file_size: 349464
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 106'
issue: '8'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 1033 - 1036
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '6054'
pubrep_id: '698'
quality_controlled: '1'
scopus_import: 1
status: public
title: Nonexistence of large nuclei in the liquid drop model
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2016'
...
---
_id: '1291'
abstract:
- lang: eng
text: We consider Ising models in two and three dimensions, with short range ferromagnetic
and long range, power-law decaying, antiferromagnetic interactions. We let J be
the ratio between the strength of the ferromagnetic to antiferromagnetic interactions.
The competition between these two kinds of interactions induces the system to
form domains of minus spins in a background of plus spins, or vice versa. If the
decay exponent p of the long range interaction is larger than d + 1, with d
the space dimension, this happens for all values of J smaller than a critical
value Jc(p), beyond which the ground state is homogeneous. In this paper, we give
a characterization of the infinite volume ground states of the system, for pÂ
>Â 2d and J in a left neighborhood of Jc(p). In particular, we prove that the
quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs
(d = 3), all of the same optimal width and orientation, and alternating magnetization,
are infinite volume ground states. Our proof is based on localization bounds combined
with reflection positivity.
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria). The\r\nresearch leading to these results has received funding from
the European Research Council under the European\r\nUnion’s Seventh Framework Programme
ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN
National Grant Geometric and analytic theory of Hamiltonian systems in finite and
infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27.
Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute
for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems,
random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully
acknowledged."
author:
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Giuliani A, Seiringer R. Periodic striped ground states in Ising models with
competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007.
doi:10.1007/s00220-016-2665-0
apa: Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in
Ising models with competing interactions. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-016-2665-0
chicago: Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States
in Ising Models with Competing Interactions.” Communications in Mathematical
Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0.
ieee: A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models
with competing interactions,” Communications in Mathematical Physics, vol.
347, no. 3. Springer, pp. 983–1007, 2016.
ista: Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models
with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.
mla: Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States
in Ising Models with Competing Interactions.” Communications in Mathematical
Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
short: A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016)
983–1007.
date_created: 2018-12-11T11:51:11Z
date_published: 2016-11-01T00:00:00Z
date_updated: 2021-01-12T06:49:40Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-016-2665-0
file:
- access_level: open_access
checksum: 3c6e08c048fc462e312788be72874bb1
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:02Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4725'
file_name: IST-2016-688-v1+1_s00220-016-2665-0.pdf
file_size: 794983
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 347'
issue: '3'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 983 - 1007
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '6025'
pubrep_id: '688'
quality_controlled: '1'
scopus_import: 1
status: public
title: Periodic striped ground states in Ising models with competing interactions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 347
year: '2016'
...
---
_id: '1428'
abstract:
- lang: eng
text: We report on a mathematically rigorous analysis of the superfluid properties
of a Bose- Einstein condensate in the many-body ground state of a one-dimensional
model of interacting bosons in a random potential.
article_number: '012016'
author:
- first_name: Martin
full_name: Könenberg, Martin
last_name: Könenberg
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: 'Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a
Model of Interacting Bosons in a Random Potential. In: Journal of Physics:
Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016'
apa: 'Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity
and BEC in a Model of Interacting Bosons in a Random Potential. In Journal
of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing
Ltd. https://doi.org/10.1088/1742-6596/691/1/012016'
chicago: 'Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason.
“Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.”
In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd.,
2016. https://doi.org/10.1088/1742-6596/691/1/012016.'
ieee: 'M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and
BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of
Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.'
ista: 'Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC
in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference
Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016.'
mla: 'Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting
Bosons in a Random Potential.” Journal of Physics: Conference Series, vol.
691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.'
short: 'M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics:
Conference Series, IOP Publishing Ltd., 2016.'
conference:
end_date: 2015-08-25
location: Shanghai, China
name: 24th International Laser Physics Workshop (LPHYS'15)
start_date: 2015-08-21
date_created: 2018-12-11T11:51:58Z
date_published: 2016-03-07T00:00:00Z
date_updated: 2021-01-12T06:50:40Z
day: '07'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1088/1742-6596/691/1/012016
file:
- access_level: open_access
checksum: 109db801749072c3f6c8f1a1848700fa
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:55Z
date_updated: 2020-07-14T12:44:53Z
file_id: '4847'
file_name: IST-2016-585-v1+1_JPCS_691_1_012016.pdf
file_size: 1434688
relation: main_file
file_date_updated: 2020-07-14T12:44:53Z
has_accepted_license: '1'
intvolume: ' 691'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: 'Journal of Physics: Conference Series'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5770'
pubrep_id: '585'
quality_controlled: '1'
scopus_import: 1
status: public
title: Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 691
year: '2016'
...
---
_id: '1422'
abstract:
- lang: eng
text: We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant
fermionic many-body systems. For initial states that are close to thermal equilibrium
states at temperatures near the critical temperature, we show that the magnitude
of the order parameter stays approximately constant in time and, in particular,
does not follow a time-dependent Ginzburg–Landau equation, which is often employed
as a phenomenological description and predicts a decay of the order parameter
in time. The full non-linear structure of the equations is necessary to understand
this behavior.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_processing_charge: Yes (via OA deal)
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent
Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical
Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5
apa: Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility
of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters
in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0847-5
chicago: Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer.
“Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.”
Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5.
ieee: R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent
Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical
Physics, vol. 106, no. 7. Springer, pp. 913–923, 2016.
ista: Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent
Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics.
106(7), 913–923.
mla: Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes
and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106,
no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
short: R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics
106 (2016) 913–923.
date_created: 2018-12-11T11:51:56Z
date_published: 2016-07-01T00:00:00Z
date_updated: 2021-01-12T06:50:38Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s11005-016-0847-5
file:
- access_level: open_access
checksum: fb404923d8ca9a1faeb949561f26cbea
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:57Z
date_updated: 2020-07-14T12:44:53Z
file_id: '5181'
file_name: IST-2016-591-v1+1_s11005-016-0847-5.pdf
file_size: 458968
relation: main_file
file_date_updated: 2020-07-14T12:44:53Z
has_accepted_license: '1'
intvolume: ' 106'
issue: '7'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 913 - 923
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5785'
pubrep_id: '591'
quality_controlled: '1'
scopus_import: 1
status: public
title: Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau
equations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2016'
...
---
_id: '1436'
abstract:
- lang: eng
text: We study the time evolution of a system of N spinless fermions in R3 which
interact through a pair potential, e.g., the Coulomb potential. We compare the
dynamics given by the solution to Schrödinger's equation with the time-dependent
Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation
in terms of the kinetic energy of the system. This leads, in turn, to bounds in
terms of the initial total energy of the system.
author:
- first_name: Volker
full_name: Bach, Volker
last_name: Bach
- first_name: Sébastien
full_name: Breteaux, Sébastien
last_name: Breteaux
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
- first_name: Tim
full_name: Tzaneteas, Tim
last_name: Tzaneteas
citation:
ama: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates
for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb
interaction. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30.
doi:10.1016/j.matpur.2015.09.003
apa: Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., & Tzaneteas, T. (2016).
Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation
with Coulomb interaction. Journal de Mathématiques Pures et Appliquées.
Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003
chicago: Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim
Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock
Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et
Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003.
ieee: V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy
estimates for the accuracy of the time-dependent Hartree-Fock approximation with
Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol.
105, no. 1. Elsevier, pp. 1–30, 2016.
ista: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy
estimates for the accuracy of the time-dependent Hartree-Fock approximation with
Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30.
mla: Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent
Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques
Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.
short: V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques
Pures et Appliquées 105 (2016) 1–30.
date_created: 2018-12-11T11:52:00Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:43Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1016/j.matpur.2015.09.003
ec_funded: 1
file:
- access_level: open_access
checksum: c5afe1f6935bc7f2b546adbde1d31a35
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:36Z
date_updated: 2020-07-14T12:44:54Z
file_id: '4825'
file_name: IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf
file_size: 658491
relation: main_file
file_date_updated: 2020-07-14T12:44:54Z
has_accepted_license: '1'
intvolume: ' 105'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1 - 30
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal de Mathématiques Pures et Appliquées
publication_status: published
publisher: Elsevier
publist_id: '5763'
pubrep_id: '581'
quality_controlled: '1'
scopus_import: 1
status: public
title: Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock
approximation with Coulomb interaction
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 105
year: '2016'
...
---
_id: '1478'
abstract:
- lang: eng
text: We consider the Tonks-Girardeau gas subject to a random external potential.
If the disorder is such that the underlying one-particle Hamiltonian displays
localization (which is known to be generically the case), we show that there is
exponential decay of correlations in the many-body eigenstates. Moreover, there
is no Bose-Einstein condensation and no superfluidity, even at zero temperature.
article_number: '035002'
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Simone
full_name: Warzel, Simone
last_name: Warzel
citation:
ama: Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in
the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3).
doi:10.1088/1367-2630/18/3/035002
apa: Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of
superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics.
IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/18/3/035002
chicago: Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence
of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics.
IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002.
ieee: R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity
in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18,
no. 3. IOP Publishing Ltd., 2016.
ista: Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity
in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002.
mla: Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of
Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics,
vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
short: R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
date_created: 2018-12-11T11:52:15Z
date_published: 2016-02-29T00:00:00Z
date_updated: 2021-01-12T06:51:01Z
day: '29'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1088/1367-2630/18/3/035002
file:
- access_level: open_access
checksum: 4f959eabc19d2a2f518318a450a4d424
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:22Z
date_updated: 2020-07-14T12:44:56Z
file_id: '5276'
file_name: IST-2016-579-v1+1_njp_18_3_035002.pdf
file_size: 965607
relation: main_file
file_date_updated: 2020-07-14T12:44:56Z
has_accepted_license: '1'
intvolume: ' 18'
issue: '3'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5716'
pubrep_id: '579'
quality_controlled: '1'
scopus_import: 1
status: public
title: Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau
gas
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2016'
...
---
_id: '1486'
abstract:
- lang: eng
text: We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer
(BCS) functional of superconductivity, which were obtained in a series of papers,
partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej.
Our discussion includes, in particular, an investigation of the critical temperature
for a general class of interaction potentials, as well as a study of its dependence
on external fields. We shall explain how the Ginzburg-Landau model can be derived
from the BCS theory in a suitable parameter regime.
article_number: '021101'
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity
and its mathematical properties. Journal of Mathematical Physics. 2016;57(2).
doi:10.1063/1.4941723
apa: Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional
of superconductivity and its mathematical properties. Journal of Mathematical
Physics. American Institute of Physics. https://doi.org/10.1063/1.4941723
chicago: Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer
Functional of Superconductivity and Its Mathematical Properties.” Journal of
Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723.
ieee: C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity
and its mathematical properties,” Journal of Mathematical Physics, vol.
57, no. 2. American Institute of Physics, 2016.
ista: Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity
and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.
mla: Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional
of Superconductivity and Its Mathematical Properties.” Journal of Mathematical
Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
short: C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
date_created: 2018-12-11T11:52:18Z
date_published: 2016-02-24T00:00:00Z
date_updated: 2021-01-12T06:51:04Z
day: '24'
department:
- _id: RoSe
doi: 10.1063/1.4941723
intvolume: ' 57'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1511.01995
month: '02'
oa: 1
oa_version: Preprint
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5701'
quality_controlled: '1'
scopus_import: 1
status: public
title: The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical
properties
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2016'
...
---
_id: '1493'
abstract:
- lang: eng
text: We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock
equations as an effective mean-field dynamics from the microscopic Schrödinger
equation for fermionic many-particle systems in quantum mechanics. The method
is an adaption of the method used in Pickl (Lett. Math. Phys. 97 (2) 151–164 2011)
for bosonic systems to fermionic systems. It is based on a Gronwall type estimate
for a suitable measure of distance between the microscopic solution and an antisymmetrized
product state. We use this method to treat a new mean-field limit for fermions
with long-range interactions in a large volume. Some of our results hold for singular
attractive or repulsive interactions. We can also treat Coulomb interaction assuming
either a mild singularity cutoff or certain regularity conditions on the solutions
to the Hartree(-Fock) equations. In the considered limit, the kinetic and interaction
energy are of the same order, while the average force is subleading. For some
interactions, we prove that the Hartree(-Fock) dynamics is a more accurate approximation
than a simpler dynamics that one would expect from the subleading force. With
our method we also treat the mean-field limit coupled to a semiclassical limit,
which was discussed in the literature before, and we recover some of the previous
results. All results hold for initial data close (but not necessarily equal) to
antisymmetrized product states and we always provide explicit rates of convergence.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_number: '3'
article_processing_charge: Yes (via OA deal)
author:
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
citation:
ama: Petrat SP, Pickl P. A new method and a new scaling for deriving fermionic mean-field
dynamics. Mathematical Physics, Analysis and Geometry. 2016;19(1). doi:10.1007/s11040-016-9204-2
apa: Petrat, S. P., & Pickl, P. (2016). A new method and a new scaling for deriving
fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry.
Springer. https://doi.org/10.1007/s11040-016-9204-2
chicago: Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving
Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry.
Springer, 2016. https://doi.org/10.1007/s11040-016-9204-2.
ieee: S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic
mean-field dynamics,” Mathematical Physics, Analysis and Geometry, vol.
19, no. 1. Springer, 2016.
ista: Petrat SP, Pickl P. 2016. A new method and a new scaling for deriving fermionic
mean-field dynamics. Mathematical Physics, Analysis and Geometry. 19(1), 3.
mla: Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving
Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry,
vol. 19, no. 1, 3, Springer, 2016, doi:10.1007/s11040-016-9204-2.
short: S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).
date_created: 2018-12-11T11:52:20Z
date_published: 2016-03-01T00:00:00Z
date_updated: 2021-01-12T06:51:08Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s11040-016-9204-2
ec_funded: 1
file:
- access_level: open_access
checksum: eb5d2145ef0d377c4f78bf06e18f4529
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:55Z
date_updated: 2020-07-14T12:44:58Z
file_id: '5246'
file_name: IST-2016-514-v1+1_s11040-016-9204-2.pdf
file_size: 911310
relation: main_file
file_date_updated: 2020-07-14T12:44:58Z
has_accepted_license: '1'
intvolume: ' 19'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Mathematical Physics, Analysis and Geometry
publication_status: published
publisher: Springer
publist_id: '5690'
pubrep_id: '514'
quality_controlled: '1'
scopus_import: 1
status: public
title: A new method and a new scaling for deriving fermionic mean-field dynamics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2016'
...
---
_id: '1491'
abstract:
- lang: eng
text: We study the ground state of a trapped Bose gas, starting from the full many-body
Schrödinger Hamiltonian, and derive the non-linear Schrödinger energy functional
in the limit of a large particle number, when the interaction potential converges
slowly to a Dirac delta function. Our method is based on quantitative estimates
on the discrepancy between the full many-body energy and its mean-field approximation
using Hartree states. These are proved using finite dimensional localization and
a quantitative version of the quantum de Finetti theorem. Our approach covers
the case of attractive interactions in the regime of stability. In particular,
our main new result is a derivation of the 2D attractive non-linear Schrödinger
ground state.
acknowledgement: The authors acknowledge financial support from the European Research
Council (FP7/2007-2013 Grant Agreement MNIQS 258023) and the ANR (Mathostaq project,
ANR-13-JS01-0005-01). The second and third authors have benefited from the hospitality
of the Institute for Mathematical Science of the National University of Singapore.
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
citation:
ama: Lewin M, Nam P, Rougerie N. The mean-field approximation and the non-linear
Schrödinger functional for trapped Bose gases. Transactions of the American
Mathematical Society. 2016;368(9):6131-6157. doi:10.1090/tran/6537
apa: Lewin, M., Nam, P., & Rougerie, N. (2016). The mean-field approximation
and the non-linear Schrödinger functional for trapped Bose gases. Transactions
of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/6537
chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation
and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions
of the American Mathematical Society. American Mathematical Society, 2016.
https://doi.org/10.1090/tran/6537.
ieee: M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear
Schrödinger functional for trapped Bose gases,” Transactions of the American
Mathematical Society, vol. 368, no. 9. American Mathematical Society, pp.
6131–6157, 2016.
ista: Lewin M, Nam P, Rougerie N. 2016. The mean-field approximation and the non-linear
Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical
Society. 368(9), 6131–6157.
mla: Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger
Functional for Trapped Bose Gases.” Transactions of the American Mathematical
Society, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57,
doi:10.1090/tran/6537.
short: M. Lewin, P. Nam, N. Rougerie, Transactions of the American Mathematical
Society 368 (2016) 6131–6157.
date_created: 2018-12-11T11:52:20Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T06:51:07Z
day: '01'
department:
- _id: RoSe
doi: 10.1090/tran/6537
intvolume: ' 368'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1405.3220
month: '01'
oa: 1
oa_version: Submitted Version
page: 6131 - 6157
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '5692'
quality_controlled: '1'
scopus_import: 1
status: public
title: The mean-field approximation and the non-linear Schrödinger functional for
trapped Bose gases
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 368
year: '2016'
...
---
_id: '1545'
abstract:
- lang: eng
text: We provide general conditions for which bosonic quadratic Hamiltonians on
Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover
the case when quantum systems have infinite degrees of freedom and the associated
one-body kinetic and paring operators are unbounded. Our sufficient conditions
are optimal in the sense that they become necessary when the relevant one-body
operators commute.
acknowledgement: We thank Jan Dereziński for several inspiring discussions and useful
remarks. We thank the referee for helpful comments. J.P.S. thanks the Erwin Schrödinger
Institute for the hospitality during the thematic programme “Quantum many-body systems,
random matrices, and disorder”. We gratefully acknowledge the financial supports
by the European Union's Seventh Framework Programme under the ERC Advanced Grant
ERC-2012-AdG 321029 (J.P.S.) and the REA grant agreement No. 291734 (P.T.N.), as
well as the support of the National Science Center (NCN) grant No. 2012/07/N/ST1/03185
and the Austrian Science Fund (FWF) project No. P 27533-N27 (M.N.).
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians
by Bogoliubov transformations. Journal of Functional Analysis. 2016;270(11):4340-4368.
doi:10.1016/j.jfa.2015.12.007
apa: Nam, P., Napiórkowski, M. M., & Solovej, J. (2016). Diagonalization of
bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional
Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2015.12.007
chicago: Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of
Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional
Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2015.12.007.
ieee: P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic
Hamiltonians by Bogoliubov transformations,” Journal of Functional Analysis,
vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016.
ista: Nam P, Napiórkowski MM, Solovej J. 2016. Diagonalization of bosonic quadratic
Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 270(11),
4340–4368.
mla: Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov
Transformations.” Journal of Functional Analysis, vol. 270, no. 11, Academic
Press, 2016, pp. 4340–68, doi:10.1016/j.jfa.2015.12.007.
short: P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270
(2016) 4340–4368.
date_created: 2018-12-11T11:52:38Z
date_published: 2016-06-01T00:00:00Z
date_updated: 2021-01-12T06:51:30Z
day: '01'
department:
- _id: RoSe
doi: 10.1016/j.jfa.2015.12.007
ec_funded: 1
intvolume: ' 270'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1508.07321
month: '06'
oa: 1
oa_version: Submitted Version
page: 4340 - 4368
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Journal of Functional Analysis
publication_status: published
publisher: Academic Press
publist_id: '5626'
quality_controlled: '1'
scopus_import: 1
status: public
title: Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 270
year: '2016'
...
---
_id: '1620'
abstract:
- lang: eng
text: We consider the Bardeen–Cooper–Schrieffer free energy functional for particles
interacting via a two-body potential on a microscopic scale and in the presence
of weak external fields varying on a macroscopic scale. We study the influence
of the external fields on the critical temperature. We show that in the limit
where the ratio between the microscopic and macroscopic scale tends to zero, the
next to leading order of the critical temperature is determined by the lowest
eigenvalue of the linearization of the Ginzburg–Landau equation.
acknowledgement: The authors are grateful to I. M. Sigal for useful discussions. Financial
support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432
(R.L.F.), from the Danish council for independent research and from ERC Advanced
Grant 321029 (J.P.S.) is acknowledged.
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of
the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216.
doi:10.1007/s00220-015-2526-2
apa: Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external
field dependence of the BCS critical temperature. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-015-2526-2
chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The
External Field Dependence of the BCS Critical Temperature.” Communications
in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2.
ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence
of the BCS critical temperature,” Communications in Mathematical Physics,
vol. 342, no. 1. Springer, pp. 189–216, 2016.
ista: Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence
of the BCS critical temperature. Communications in Mathematical Physics. 342(1),
189–216.
mla: Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.”
Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016,
pp. 189–216, doi:10.1007/s00220-015-2526-2.
short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical
Physics 342 (2016) 189–216.
date_created: 2018-12-11T11:53:04Z
date_published: 2016-02-01T00:00:00Z
date_updated: 2021-01-12T06:52:03Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00220-015-2526-2
intvolume: ' 342'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1410.2352
month: '02'
oa: 1
oa_version: Submitted Version
page: 189 - 216
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5546'
quality_controlled: '1'
scopus_import: 1
status: public
title: The external field dependence of the BCS critical temperature
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 342
year: '2016'
...
---
_id: '1622'
abstract:
- lang: eng
text: We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities
for many-body quantum systems with fractional kinetic operators and homogeneous
interaction potentials, where no anti-symmetry on the wave functions is assumed.
These many-body inequalities imply interesting one-body interpolation inequalities,
and we show that the corresponding one- and many-body inequalities are actually
equivalent in certain cases.
acknowledgement: "We thank Jan Philip Solovej, Robert Seiringer and Vladimir Maz’ya
for helpful discussions, as well as Rupert Frank\r\nand the anonymous referee for
useful comments. Part of this work has been carried out during a visit at the Institut
Mittag-Leffler (Stockholm). D.L. acknowledges financial support by the grant KAW
2010.0063 from the Knut and Alice Wallenberg Foundation and the Swedish Research
Council grant no. 2013-4734. P.T.N. is supported by the People Programme (Marie
Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013)
under REA grant agreement no. 291734. F.P. acknowledges support from the ERC project
no. 321029 “The\r\nmathematics of the structure of matter”."
author:
- first_name: Douglas
full_name: Lundholm, Douglas
last_name: Lundholm
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Fabian
full_name: Portmann, Fabian
last_name: Portmann
citation:
ama: Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities
for interacting systems. Archive for Rational Mechanics and Analysis. 2016;219(3):1343-1382.
doi:10.1007/s00205-015-0923-5
apa: Lundholm, D., Nam, P., & Portmann, F. (2016). Fractional Hardy–Lieb–Thirring
and related Inequalities for interacting systems. Archive for Rational Mechanics
and Analysis. Springer. https://doi.org/10.1007/s00205-015-0923-5
chicago: Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring
and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics
and Analysis. Springer, 2016. https://doi.org/10.1007/s00205-015-0923-5.
ieee: D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and
related Inequalities for interacting systems,” Archive for Rational Mechanics
and Analysis, vol. 219, no. 3. Springer, pp. 1343–1382, 2016.
ista: Lundholm D, Nam P, Portmann F. 2016. Fractional Hardy–Lieb–Thirring and related
Inequalities for interacting systems. Archive for Rational Mechanics and Analysis.
219(3), 1343–1382.
mla: Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities
for Interacting Systems.” Archive for Rational Mechanics and Analysis,
vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:10.1007/s00205-015-0923-5.
short: D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis
219 (2016) 1343–1382.
date_created: 2018-12-11T11:53:05Z
date_published: 2016-03-01T00:00:00Z
date_updated: 2021-01-12T06:52:04Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-015-0923-5
ec_funded: 1
intvolume: ' 219'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1501.04570
month: '03'
oa: 1
oa_version: Submitted Version
page: 1343 - 1382
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '5542'
quality_controlled: '1'
scopus_import: 1
status: public
title: Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 219
year: '2016'
...
---
_id: '1572'
abstract:
- lang: eng
text: "We consider the quantum ferromagnetic Heisenberg model in three dimensions,
for all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation
for the excitation spectrum, at the level of the first non-trivial contribution
to the free energy at low temperatures. Our proof comes with explicit, constructive
upper and lower bounds on the error term. It uses in an essential way the bosonic
formulation of the model in terms of the Holstein-Primakoff representation. In
this language, the model describes interacting bosons with a hard-core on-site
repulsion and a nearest-neighbor attraction. This attractive interaction makes
the lower bound on the free energy particularly tricky: the key idea there is
to prove a differential inequality for the two-particle density, which is thereby
shown to be smaller than the probability density of a suitably weighted two-particle
random process on the lattice.\r\n"
author:
- first_name: Michele
full_name: Correggi, Michele
last_name: Correggi
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet. Communications in Mathematical
Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0
apa: Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave
approximation for the free energy of the Heisenberg ferromagnet. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2402-0
chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity
of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.”
Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.
ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical
Physics, vol. 339, no. 1. Springer, pp. 279–307, 2015.
ista: Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet. Communications in Mathematical
Physics. 339(1), 279–307.
mla: Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the
Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical
Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
short: M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics
339 (2015) 279–307.
date_created: 2018-12-11T11:52:47Z
date_published: 2015-06-23T00:00:00Z
date_updated: 2021-01-12T06:51:41Z
day: '23'
department:
- _id: RoSe
doi: 10.1007/s00220-015-2402-0
intvolume: ' 339'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1312.7873
month: '06'
oa: 1
oa_version: Preprint
page: 279 - 307
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5599'
quality_controlled: '1'
scopus_import: 1
status: public
title: Validity of the spin-wave approximation for the free energy of the Heisenberg
ferromagnet
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 339
year: '2015'
...
---
_id: '1573'
abstract:
- lang: eng
text: We present a new, simpler proof of the unconditional uniqueness of solutions
to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis
is the quantum de Finetti theorem. Our uniqueness result is equivalent to the
one established in the celebrated works of Erdos, Schlein, and Yau.
author:
- first_name: Thomas
full_name: Chen, Thomas
last_name: Chen
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the
cubic gross pitaevskii hierarchy via quantum de finetti. Communications on
Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552
apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional
uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21552
chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
“Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum
de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015.
https://doi.org/10.1002/cpa.21552.
ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness
for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications
on Pure and Applied Mathematics, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.
ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness
for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
on Pure and Applied Mathematics. 68(10), 1845–1884.
mla: Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii
Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics,
vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and
Applied Mathematics 68 (2015) 1845–1884.
date_created: 2018-12-11T11:52:48Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2021-01-12T06:51:41Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.21552
intvolume: ' 68'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1307.3168
month: '10'
oa: 1
oa_version: Preprint
page: 1845 - 1884
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley
publist_id: '5598'
quality_controlled: '1'
scopus_import: 1
status: public
title: Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum
de finetti
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 68
year: '2015'
...
---
_id: '1704'
abstract:
- lang: eng
text: Given a convex function (Formula presented.) and two hermitian matrices A
and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative
entropy defined by (Formula presented.). Among other things, they prove that the
so-defined quantity is monotone if and only if (Formula presented.) is operator
monotone. The monotonicity is then used to properly define (Formula presented.)
for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space
by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional
projections (Formula presented.) with (Formula presented.) strongly, the limit
(Formula presented.) is shown to exist and to be independent of the sequence of
projections (Formula presented.). The question whether this sequence converges
to its "obvious" limit, namely (Formula presented.), has been left open.
We answer this question in principle affirmatively and show that (Formula presented.).
If the operators A and B are regular enough, that is (A − B), (Formula presented.)
and (Formula presented.) are trace-class, the identity (Formula presented.) holds.
author:
- first_name: Andreas
full_name: Deuchert, Andreas
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative
entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5
apa: Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone
quantum relative entropies. Letters in Mathematical Physics. Springer.
https://doi.org/10.1007/s11005-015-0787-5
chicago: Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family
of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics.
Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.
ieee: A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum
relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10.
Springer, pp. 1449–1466, 2015.
ista: Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum
relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.
mla: Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.”
Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp.
1449–66, doi:10.1007/s11005-015-0787-5.
short: A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105
(2015) 1449–1466.
date_created: 2018-12-11T11:53:34Z
date_published: 2015-08-05T00:00:00Z
date_updated: 2021-01-12T06:52:38Z
day: '05'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-015-0787-5
file:
- access_level: open_access
checksum: fd7307282a314cc1fbbaef77b187516b
content_type: application/pdf
creator: dernst
date_created: 2019-01-15T14:42:07Z
date_updated: 2020-07-14T12:45:13Z
file_id: '5836'
file_name: 2015_LettersMathPhys_Deuchert.pdf
file_size: 484967
relation: main_file
file_date_updated: 2020-07-14T12:45:13Z
has_accepted_license: '1'
intvolume: ' 105'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1502.07205
month: '08'
oa: 1
oa_version: Preprint
page: 1449 - 1466
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5432'
quality_controlled: '1'
scopus_import: 1
status: public
title: Note on a family of monotone quantum relative entropies
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 105
year: '2015'
...
---
_id: '1807'
abstract:
- lang: eng
text: We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii
energy of two-components Bose-Einstein condensates. In the case of large but same
order intercomponent and intracomponent coupling strengths, we prove Γ-convergence
to a perimeter minimisation functional with an inhomogeneous surface tension.
We study the asymptotic behavior of the surface tension as the ratio between the
intercomponent and intracomponent coupling strengths becomes very small or very
large and obtain good agreement with the physical literature. We obtain as a consequence,
symmetry breaking of the minimisers for the harmonic potential.
author:
- first_name: Michael
full_name: Goldman, Michael
last_name: Goldman
- first_name: Jimena
full_name: Royo-Letelier, Jimena
id: 4D3BED28-F248-11E8-B48F-1D18A9856A87
last_name: Royo-Letelier
citation:
ama: Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein
condensates. ESAIM - Control, Optimisation and Calculus of Variations.
2015;21(3):603-624. doi:10.1051/cocv/2014040
apa: Goldman, M., & Royo-Letelier, J. (2015). Sharp interface limit for two
components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus
of Variations. EDP Sciences. https://doi.org/10.1051/cocv/2014040
chicago: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for
Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and
Calculus of Variations. EDP Sciences, 2015. https://doi.org/10.1051/cocv/2014040.
ieee: M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components
Bose-Einstein condensates,” ESAIM - Control, Optimisation and Calculus of Variations,
vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015.
ista: Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components
Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations.
21(3), 603–624.
mla: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two
Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus
of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040.
short: M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus
of Variations 21 (2015) 603–624.
date_created: 2018-12-11T11:54:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2021-01-12T06:53:20Z
day: '01'
department:
- _id: RoSe
doi: 10.1051/cocv/2014040
intvolume: ' 21'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1401.1727
month: '05'
oa: 1
oa_version: Preprint
page: 603 - 624
publication: ESAIM - Control, Optimisation and Calculus of Variations
publication_status: published
publisher: EDP Sciences
publist_id: '5303'
quality_controlled: '1'
scopus_import: 1
status: public
title: Sharp interface limit for two components Bose-Einstein condensates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2015'
...
---
_id: '1880'
abstract:
- lang: eng
text: We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity
in the ground state of a one-dimensional model of interacting bosons in a strong
random potential. We prove rigorously that in a certain parameter regime the superfluid
fraction can be arbitrarily small while complete BEC prevails. In another regime
there is both complete BEC and complete superfluidity, despite the strong disorder
acknowledgement: Support from the Natural Sciences and Engineering Research Council
of Canada NSERC (MK and RS) and from the Austrian Science Fund FWF (JY, under project
P 22929-N16) is gratefully acknowledged
article_number: '013022'
author:
- first_name: Martin
full_name: Könenberg, Martin
last_name: Könenberg
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein
condensate in a random potential. New Journal of Physics. 2015;17. doi:10.1088/1367-2630/17/1/013022
apa: Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2015). Superfluid
behavior of a Bose-Einstein condensate in a random potential. New Journal of
Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/17/1/013022
chicago: Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason.
“Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New
Journal of Physics. IOP Publishing Ltd., 2015. https://doi.org/10.1088/1367-2630/17/1/013022.
ieee: M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior
of a Bose-Einstein condensate in a random potential,” New Journal of Physics,
vol. 17. IOP Publishing Ltd., 2015.
ista: Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of
a Bose-Einstein condensate in a random potential. New Journal of Physics. 17,
013022.
mla: Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate
in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing
Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.
short: M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics
17 (2015).
date_created: 2018-12-11T11:54:30Z
date_published: 2015-01-15T00:00:00Z
date_updated: 2021-01-12T06:53:48Z
day: '15'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1088/1367-2630/17/1/013022
file:
- access_level: open_access
checksum: 38fdf2b5ac30445e26a5d613abd84b16
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:44Z
date_updated: 2020-07-14T12:45:20Z
file_id: '4963'
file_name: IST-2016-447-v1+1_document_1_.pdf
file_size: 768108
relation: main_file
file_date_updated: 2020-07-14T12:45:20Z
has_accepted_license: '1'
intvolume: ' 17'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5214'
pubrep_id: '447'
quality_controlled: '1'
scopus_import: 1
status: public
title: Superfluid behavior of a Bose-Einstein condensate in a random potential
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2015'
...
---
_id: '2085'
abstract:
- lang: eng
text: 'We study the spectrum of a large system of N identical bosons interacting
via a two-body potential with strength 1/N. In this mean-field regime, Bogoliubov''s
theory predicts that the spectrum of the N-particle Hamiltonian can be approximated
by that of an effective quadratic Hamiltonian acting on Fock space, which describes
the fluctuations around a condensed state. Recently, Bogoliubov''s theory has
been justified rigorously in the case that the low-energy eigenvectors of the
N-particle Hamiltonian display complete condensation in the unique minimizer of
the corresponding Hartree functional. In this paper, we shall justify Bogoliubov''s
theory for the high-energy part of the spectrum of the N-particle Hamiltonian
corresponding to (non-linear) excited states of the Hartree functional. Moreover,
we shall extend the existing results on the excitation spectrum to the case of
non-uniqueness and/or degeneracy of the Hartree minimizer. In particular, the
latter covers the case of rotating Bose gases, when the rotation speed is large
enough to break the symmetry and to produce multiple quantized vortices in the
Hartree minimizer. '
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417.
doi:10.1007/s00205-014-0781-6
apa: Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in
the mean-field regime. Archive for Rational Mechanics and Analysis. Springer.
https://doi.org/10.1007/s00205-014-0781-6
chicago: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases
in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis.
Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.
ieee: P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field
regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2.
Springer, pp. 381–417, 2015.
ista: Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.
mla: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the
Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215,
no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
short: P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015)
381–417.
date_created: 2018-12-11T11:55:37Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T06:55:13Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-014-0781-6
intvolume: ' 215'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1402.1153
month: '02'
oa: 1
oa_version: Preprint
page: 381 - 417
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '4951'
quality_controlled: '1'
scopus_import: 1
status: public
title: Collective excitations of Bose gases in the mean-field regime
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 215
year: '2015'
...
---
_id: '473'
abstract:
- lang: eng
text: We prove that nonlinear Gibbs measures can be obtained from the corresponding
many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where
the temperature T diverges and the interaction strength behaves as 1/T. We proceed
by characterizing the interacting Gibbs state as minimizing a functional counting
the free-energy relatively to the non-interacting case. We then perform an infinite-dimensional
analogue of phase-space semiclassical analysis, using fine properties of the quantum
relative entropy, the link between quantum de Finetti measures and upper/lower
symbols in a coherent state basis, as well as Berezin-Lieb type inequalities.
Our results cover the measure built on the defocusing nonlinear Schrödinger functional
on a finite interval, as well as smoother interactions in dimensions d 2.
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Nam
full_name: Phan Thanh, Nam
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Phan Thanh
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
citation:
ama: Lewin M, Nam P, Rougerie N. Derivation of nonlinear gibbs measures from many-body
quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2015;2:65-115.
doi:10.5802/jep.18
apa: Lewin, M., Nam, P., & Rougerie, N. (2015). Derivation of nonlinear gibbs
measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.18
chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “Derivation of Nonlinear
Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique, 2015. https://doi.org/10.5802/jep.18.
ieee: M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures
from many-body quantum mechanics,” Journal de l’Ecole Polytechnique - Mathematiques,
vol. 2. Ecole Polytechnique, pp. 65–115, 2015.
ista: Lewin M, Nam P, Rougerie N. 2015. Derivation of nonlinear gibbs measures from
many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques.
2, 65–115.
mla: Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body
Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques, vol.
2, Ecole Polytechnique, 2015, pp. 65–115, doi:10.5802/jep.18.
short: M. Lewin, P. Nam, N. Rougerie, Journal de l’Ecole Polytechnique - Mathematiques
2 (2015) 65–115.
date_created: 2018-12-11T11:46:40Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:52Z
day: '01'
ddc:
- '539'
department:
- _id: RoSe
doi: 10.5802/jep.18
ec_funded: 1
file:
- access_level: open_access
checksum: a40eb4016717ddc9927154798a4c164a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:53Z
date_updated: 2020-07-14T12:46:35Z
file_id: '4974'
file_name: IST-2018-951-v1+1_2015_Thanh-Nam_Derivation_of.pdf
file_size: 1084254
relation: main_file
file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: ' 2'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 65 - 115
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal de l'Ecole Polytechnique - Mathematiques
publication_status: published
publisher: Ecole Polytechnique
publist_id: '7344'
pubrep_id: '951'
quality_controlled: '1'
scopus_import: 1
status: public
title: Derivation of nonlinear gibbs measures from many-body quantum mechanics
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2015'
...
---
_id: '1516'
abstract:
- lang: eng
text: "We present a rigorous derivation of the BCS gap equation for superfluid fermionic
gases with point interactions. Our starting point is the BCS energy functional,
whose minimizer we investigate in the limit when the range of the interaction
potential goes to zero.\r\n"
article_processing_charge: No
author:
- first_name: Gerhard
full_name: Bräunlich, Gerhard
last_name: Bräunlich
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Bräunlich G, Hainzl C, Seiringer R. On the BCS gap equation for superfluid
fermionic gases. In: Proceedings of the QMath12 Conference. World Scientific
Publishing; 2014:127-137. doi:10.1142/9789814618144_0007'
apa: 'Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). On the BCS gap equation
for superfluid fermionic gases. In Proceedings of the QMath12 Conference
(pp. 127–137). Berlin, Germany: World Scientific Publishing. https://doi.org/10.1142/9789814618144_0007'
chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS
Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12
Conference, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007.
ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid
fermionic gases,” in Proceedings of the QMath12 Conference, Berlin, Germany,
2014, pp. 127–137.
ista: 'Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid
fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results
in Quantum Physics, 127–137.'
mla: Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic
Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing,
2014, pp. 127–37, doi:10.1142/9789814618144_0007.
short: G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference,
World Scientific Publishing, 2014, pp. 127–137.
conference:
end_date: 2013-09-13
location: Berlin, Germany
name: 'QMath: Mathematical Results in Quantum Physics'
start_date: 2013-09-10
date_created: 2018-12-11T11:52:28Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2021-01-12T06:51:19Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/9789814618144_0007
external_id:
arxiv:
- '1403.2563'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1403.2563
month: '01'
oa: 1
oa_version: Preprint
page: 127 - 137
publication: Proceedings of the QMath12 Conference
publication_status: published
publisher: World Scientific Publishing
publist_id: '5661'
quality_controlled: '1'
status: public
title: On the BCS gap equation for superfluid fermionic gases
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '1821'
abstract:
- lang: eng
text: We review recent progress towards a rigorous understanding of the Bogoliubov
approximation for bosonic quantum many-body systems. We focus, in particular,
on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A
list of open problems will be discussed at the end.
article_number: '1.4881536'
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation.
Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4881536
apa: Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov
approximation. Journal of Mathematical Physics. American Institute of Physics.
https://doi.org/10.1063/1.4881536
chicago: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
Approximation.” Journal of Mathematical Physics. American Institute of
Physics, 2014. https://doi.org/10.1063/1.4881536.
ieee: R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov
approximation,” Journal of Mathematical Physics, vol. 55, no. 7. American
Institute of Physics, 2014.
ista: Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov
approximation. Journal of Mathematical Physics. 55(7), 1.4881536.
mla: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536,
American Institute of Physics, 2014, doi:10.1063/1.4881536.
short: R. Seiringer, Journal of Mathematical Physics 55 (2014).
date_created: 2018-12-11T11:54:11Z
date_published: 2014-06-26T00:00:00Z
date_updated: 2021-01-12T06:53:25Z
day: '26'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1063/1.4881536
file:
- access_level: open_access
checksum: ed0efc93c10f1341155f0316af617b82
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:49Z
date_updated: 2020-07-14T12:45:17Z
file_id: '5172'
file_name: IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf
file_size: 269171
relation: main_file
file_date_updated: 2020-07-14T12:45:17Z
has_accepted_license: '1'
intvolume: ' 55'
issue: '7'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5285'
pubrep_id: '532'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2014'
...
---
_id: '1822'
article_number: '075101'
author:
- first_name: Vojkan
full_name: Jakšić, Vojkan
last_name: Jakšić
- first_name: Claude
full_name: Pillet, Claude
last_name: Pillet
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Jakšić V, Pillet C, Seiringer R. Introduction. Journal of Mathematical Physics.
2014;55(7). doi:10.1063/1.4884877
apa: Jakšić, V., Pillet, C., & Seiringer, R. (2014). Introduction. Journal
of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4884877
chicago: Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal
of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4884877.
ieee: V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical
Physics, vol. 55, no. 7. American Institute of Physics, 2014.
ista: Jakšić V, Pillet C, Seiringer R. 2014. Introduction. Journal of Mathematical
Physics. 55(7), 075101.
mla: Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics,
vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
short: V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
date_created: 2018-12-11T11:54:12Z
date_published: 2014-07-01T00:00:00Z
date_updated: 2021-01-12T06:53:25Z
day: '01'
department:
- _id: RoSe
doi: 10.1063/1.4884877
intvolume: ' 55'
issue: '7'
language:
- iso: eng
month: '07'
oa_version: None
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5284'
quality_controlled: '1'
scopus_import: 1
status: public
title: Introduction
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2014'
...
---
_id: '1889'
abstract:
- lang: eng
text: We study translation-invariant quasi-free states for a system of fermions
with two-particle interactions. The associated energy functional is similar to
the BCS functional but also includes direct and exchange energies. We show that
for suitable short-range interactions, these latter terms only lead to a renormalization
of the chemical potential, with the usual properties of the BCS functional left
unchanged. Our analysis thus represents a rigorous justification of part of the
BCS approximation. We give bounds on the critical temperature below which the
system displays superfluidity.
acknowledgement: We would like to thank Max Lein and Andreas Deuchert for valuable
suggestions and remarks. Partial financial support by the NSERC (R.S.) is gratefully
acknowledged.
article_number: '1450012'
article_processing_charge: No
article_type: original
author:
- first_name: Gerhard
full_name: Bräunlich, Gerhard
last_name: Bräunlich
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Bräunlich G, Hainzl C, Seiringer R. Translation-invariant quasi-free states
for fermionic systems and the BCS approximation. Reviews in Mathematical Physics.
2014;26(7). doi:10.1142/S0129055X14500123
apa: Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). Translation-invariant
quasi-free states for fermionic systems and the BCS approximation. Reviews
in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X14500123
chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant
Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews
in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X14500123.
ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free
states for fermionic systems and the BCS approximation,” Reviews in Mathematical
Physics, vol. 26, no. 7. World Scientific Publishing, 2014.
ista: Bräunlich G, Hainzl C, Seiringer R. 2014. Translation-invariant quasi-free
states for fermionic systems and the BCS approximation. Reviews in Mathematical
Physics. 26(7), 1450012.
mla: Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic
Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol.
26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
short: G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26
(2014).
date_created: 2018-12-11T11:54:33Z
date_published: 2014-08-01T00:00:00Z
date_updated: 2022-06-07T09:03:09Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X14500123
external_id:
arxiv:
- '1305.5135'
intvolume: ' 26'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1305.5135
month: '08'
oa: 1
oa_version: Submitted Version
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '5206'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Translation-invariant quasi-free states for fermionic systems and the BCS approximation
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2014'
...
---
_id: '1904'
abstract:
- lang: eng
text: We prove a Strichartz inequality for a system of orthonormal functions, with
an optimal behavior of the constant in the limit of a large number of functions.
The estimate generalizes the usual Strichartz inequality, in the same fashion
as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application,
we consider the Schrödinger equation with a time-dependent potential and we show
the existence of the wave operator in Schatten spaces.
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal
functions. Journal of the European Mathematical Society. 2014;16(7):1507-1526.
doi:10.4171/JEMS/467
apa: Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality
for orthonormal functions. Journal of the European Mathematical Society.
European Mathematical Society. https://doi.org/10.4171/JEMS/467
chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz
Inequality for Orthonormal Functions.” Journal of the European Mathematical
Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467.
ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for
orthonormal functions,” Journal of the European Mathematical Society, vol.
16, no. 7. European Mathematical Society, pp. 1507–1526, 2014.
ista: Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal
functions. Journal of the European Mathematical Society. 16(7), 1507–1526.
mla: Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal
of the European Mathematical Society, vol. 16, no. 7, European Mathematical
Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical
Society 16 (2014) 1507–1526.
date_created: 2018-12-11T11:54:38Z
date_published: 2014-08-23T00:00:00Z
date_updated: 2021-01-12T06:53:58Z
day: '23'
department:
- _id: RoSe
doi: 10.4171/JEMS/467
intvolume: ' 16'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1306.1309
month: '08'
oa: 1
oa_version: Submitted Version
page: 1507 - 1526
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society
publist_id: '5191'
quality_controlled: '1'
scopus_import: 1
status: public
title: Strichartz inequality for orthonormal functions
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2014'
...
---
_id: '1918'
abstract:
- lang: eng
text: As the nuclear charge Z is continuously decreased an N-electron atom undergoes
a binding-unbinding transition. We investigate whether the electrons remain bound
and whether the radius of the system stays finite as the critical value Zc is
approached. Existence of a ground state at Zc is shown under the condition Zc
< N-K, where K is the maximal number of electrons that can be removed at Zc
without changing the energy.
article_number: '1350021'
author:
- first_name: Jacopo
full_name: Bellazzini, Jacopo
last_name: Bellazzini
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for
negative ions at the binding threshold. Reviews in Mathematical Physics.
2014;26(1). doi:10.1142/S0129055X13500219
apa: Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence
of ground states for negative ions at the binding threshold. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X13500219
chicago: Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence
of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical
Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X13500219.
ieee: J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states
for negative ions at the binding threshold,” Reviews in Mathematical Physics,
vol. 26, no. 1. World Scientific Publishing, 2014.
ista: Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states
for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1),
1350021.
mla: Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at
the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1,
1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
short: J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics
26 (2014).
date_created: 2018-12-11T11:54:42Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2021-01-12T06:54:04Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X13500219
intvolume: ' 26'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1301.5370
month: '02'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '5176'
quality_controlled: '1'
scopus_import: 1
status: public
title: Existence of ground states for negative ions at the binding threshold
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2014'
...
---
_id: '1935'
abstract:
- lang: eng
text: 'We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor
ferromagnetic and long-range antiferromagnetic interactions, the latter decaying
as (distance)-p, p > 2d, at large distances. If the strength J of the ferromagnetic
interaction is larger than a critical value J c, then the ground state is homogeneous.
It has been conjectured that when J is smaller than but close to J c, the ground
state is periodic and striped, with stripes of constant width h = h(J), and h
→ ∞ as J → Jc -. (In d = 3 stripes mean slabs, not columns.) Here we rigorously
prove that, if we normalize the energy in such a way that the energy of the homogeneous
state is zero, then the ratio e 0(J)/e S(J) tends to 1 as J → Jc -, with e S(J)
being the energy per site of the optimal periodic striped/slabbed state and e
0(J) the actual ground state energy per site of the system. Our proof comes with
explicit bounds on the difference e 0(J)-e S(J) at small but positive J c-J, and
also shows that in this parameter range the ground state is striped/slabbed in
a certain sense: namely, if one looks at a randomly chosen window, of suitable
size ℓ (very large compared to the optimal stripe size h(J)), one finds a striped/slabbed
state with high probability.'
acknowledgement: "2014 by the authors. This paper may be reproduced, in its entirety,
for non-commercial purposes.\r\n\r\nThe research leading to these results has received
funding from the European Research\r\nCouncil under the European Union’s Seventh
Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694; A.G.
and R.S.), the U.S. National Science Foundation (Grant PHY 0965859; E.H.L.), the
Simons Foundation (Grant # 230207; E.H.L) and the NSERC (R.S.). The work is part
of a project started in collaboration with Joel Lebowitz, whom we thank for many
useful discussions and for his constant encouragement."
article_processing_charge: No
article_type: original
author:
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Giuliani A, Lieb É, Seiringer R. Formation of stripes and slabs near the ferromagnetic
transition. Communications in Mathematical Physics. 2014;331:333-350. doi:10.1007/s00220-014-1923-2
apa: Giuliani, A., Lieb, É., & Seiringer, R. (2014). Formation of stripes and
slabs near the ferromagnetic transition. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-014-1923-2
chicago: Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of
Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical
Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-1923-2.
ieee: A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near
the ferromagnetic transition,” Communications in Mathematical Physics,
vol. 331. Springer, pp. 333–350, 2014.
ista: Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near
the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350.
mla: Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic
Transition.” Communications in Mathematical Physics, vol. 331, Springer,
2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
short: A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics
331 (2014) 333–350.
date_created: 2018-12-11T11:54:48Z
date_published: 2014-10-01T00:00:00Z
date_updated: 2022-05-24T08:32:50Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00220-014-1923-2
external_id:
arxiv:
- '1304.6344'
file:
- access_level: open_access
checksum: c8423271cd1e1ba9e44c47af75efe7b6
content_type: application/pdf
creator: dernst
date_created: 2022-05-24T08:30:40Z
date_updated: 2022-05-24T08:30:40Z
file_id: '11409'
file_name: 2014_CommMathPhysics_Giuliani.pdf
file_size: 334064
relation: main_file
success: 1
file_date_updated: 2022-05-24T08:30:40Z
has_accepted_license: '1'
intvolume: ' 331'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 333 - 350
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer
publist_id: '5159'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Formation of stripes and slabs near the ferromagnetic transition
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 331
year: '2014'
...
---
_id: '2029'
abstract:
- lang: eng
text: Spin-wave theory is a key ingredient in our comprehension of quantum spin
systems, and is used successfully for understanding a wide range of magnetic phenomena,
including magnon condensation and stability of patterns in dipolar systems. Nevertheless,
several decades of research failed to establish the validity of spin-wave theory
rigorously, even for the simplest models of quantum spins. A rigorous justification
of the method for the three-dimensional quantum Heisenberg ferromagnet at low
temperatures is presented here. We derive sharp bounds on its free energy by combining
a bosonic formulation of the model introduced by Holstein and Primakoff with probabilistic
estimates and operator inequalities.
acknowledgement: 239694; ERC; European Research Council
article_number: '20003'
author:
- first_name: Michele
full_name: Correggi, Michele
last_name: Correggi
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum
Heisenberg model. EPL. 2014;108(2). doi:10.1209/0295-5075/108/20003
apa: Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave
theory for the quantum Heisenberg model. EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/108/20003
chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity
of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing
Ltd., 2014. https://doi.org/10.1209/0295-5075/108/20003.
ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory
for the quantum Heisenberg model,” EPL, vol. 108, no. 2. IOP Publishing
Ltd., 2014.
ista: Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for
the quantum Heisenberg model. EPL. 108(2), 20003.
mla: Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg
Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003.
short: M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
date_created: 2018-12-11T11:55:18Z
date_published: 2014-10-13T00:00:00Z
date_updated: 2021-01-12T06:54:50Z
day: '13'
department:
- _id: RoSe
doi: 10.1209/0295-5075/108/20003
intvolume: ' 108'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.4717
month: '10'
oa: 1
oa_version: Submitted Version
publication: EPL
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5044'
quality_controlled: '1'
scopus_import: 1
status: public
title: Validity of spin-wave theory for the quantum Heisenberg model
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2014'
...
---
_id: '2186'
abstract:
- lang: eng
text: We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii
(GP) hierarchy in ℝ3. Moreover, we show that an exponential energy growth condition
commonly used in the well-posedness theory of the GP hierarchy is, in a specific
sense, necessary. In fact, we prove that without the latter, there exist initial
data for the focusing cubic GP hierarchy for which instantaneous blowup occurs.
author:
- first_name: Thomas
full_name: Chen, Thomas
last_name: Chen
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering
for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical
Physics. 2014;104(7):871-891. doi:10.1007/s11005-014-0693-2
apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2014). On the well-posedness
and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters
in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-014-0693-2
chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
“On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum
de Finetti.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-014-0693-2.
ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness
and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” Letters
in Mathematical Physics, vol. 104, no. 7. Springer, pp. 871–891, 2014.
ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and
scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters
in Mathematical Physics. 104(7), 871–891.
mla: Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii
Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol.
104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics
104 (2014) 871–891.
date_created: 2018-12-11T11:56:12Z
date_published: 2014-05-07T00:00:00Z
date_updated: 2021-01-12T06:55:51Z
day: '07'
department:
- _id: RoSe
doi: 10.1007/s11005-014-0693-2
intvolume: ' 104'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1311.2136
month: '05'
oa: 1
oa_version: Submitted Version
page: 871 - 891
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4793'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via
quantum de Finetti
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 104
year: '2014'
...
---
_id: '10814'
abstract:
- lang: eng
text: We review recent progress towards a rigorous understanding of the excitation
spectrum of bosonic quantum many-body systems. In particular, we explain how one
can rigorously establish the predictions resulting from the Bogoliubov approximation
in the mean field limit. The latter predicts that the spectrum is made up of elementary
excitations, whose energy behaves linearly in the momentum for small momentum.
This property is crucial for the superfluid behavior of the system. We also discuss
a list of open problems in this field.
article_processing_charge: No
article_type: original
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9
apa: Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature.
https://doi.org/10.1365/s13291-014-0083-9
chicago: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.”
Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature,
2014. https://doi.org/10.1365/s13291-014-0083-9.
ieee: R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,”
Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 116. Springer
Nature, pp. 21–41, 2014.
ista: Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.
mla: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.”
Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer
Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9.
short: R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014)
21–41.
date_created: 2022-03-04T07:54:39Z
date_published: 2014-03-01T00:00:00Z
date_updated: 2023-09-05T14:19:47Z
day: '01'
department:
- _id: RoSe
doi: 10.1365/s13291-014-0083-9
intvolume: ' 116'
keyword:
- General Medicine
language:
- iso: eng
month: '03'
oa_version: None
page: 21-41
publication: Jahresbericht der Deutschen Mathematiker-Vereinigung
publication_identifier:
eissn:
- 1869-7135
issn:
- 0012-0456
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The excitation spectrum for Bose fluids with weak interactions
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 116
year: '2014'
...
---
_id: '8044'
abstract:
- lang: eng
text: Many questions concerning models in quantum mechanics require a detailed analysis
of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable
Hilbert space. Of particular relevance for an understanding of the low-temperature
properties of a system is the structure of the excitation spectrum, which is the
part of the spectrum close to the spectral bottom. We present recent progress
on this question for bosonic many-body quantum systems with weak two-body interactions.
Such system are currently of great interest, due to their experimental realization
in ultra-cold atomic gases. We investigate the accuracy of the Bogoliubov approximations,
which predicts that the low-energy spectrum is made up of sums of elementary excitations,
with linear dispersion law at low momentum. The latter property is crucial for
the superfluid behavior the system.
article_processing_charge: No
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Structure of the excitation spectrum for many-body quantum systems.
In: Proceeding of the International Congress of Mathematicans. Vol 3. International
Congress of Mathematicians; 2014:1175-1194.'
apa: 'Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum
systems. In Proceeding of the International Congress of Mathematicans (Vol.
3, pp. 1175–1194). Seoul, South Korea: International Congress of Mathematicians.'
chicago: Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body
Quantum Systems.” In Proceeding of the International Congress of Mathematicans,
3:1175–94. International Congress of Mathematicians, 2014.
ieee: R. Seiringer, “Structure of the excitation spectrum for many-body quantum
systems,” in Proceeding of the International Congress of Mathematicans,
Seoul, South Korea, 2014, vol. 3, pp. 1175–1194.
ista: 'Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum
systems. Proceeding of the International Congress of Mathematicans. ICM: International
Congress of Mathematicans vol. 3, 1175–1194.'
mla: Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum
Systems.” Proceeding of the International Congress of Mathematicans, vol.
3, International Congress of Mathematicians, 2014, pp. 1175–94.
short: R. Seiringer, in:, Proceeding of the International Congress of Mathematicans,
International Congress of Mathematicians, 2014, pp. 1175–1194.
conference:
end_date: 2014-08-21
location: Seoul, South Korea
name: 'ICM: International Congress of Mathematicans'
start_date: 2014-08-13
date_created: 2020-06-29T07:59:35Z
date_published: 2014-08-01T00:00:00Z
date_updated: 2023-10-17T11:12:33Z
day: '01'
department:
- _id: RoSe
intvolume: ' 3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.icm2014.org/en/vod/proceedings.html
month: '08'
oa: 1
oa_version: Published Version
page: 1175-1194
publication: Proceeding of the International Congress of Mathematicans
publication_identifier:
isbn:
- '9788961058063'
publication_status: published
publisher: International Congress of Mathematicians
quality_controlled: '1'
scopus_import: '1'
status: public
title: Structure of the excitation spectrum for many-body quantum systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2014'
...
---
_id: '2281'
abstract:
- lang: eng
text: We consider two-dimensional Bose-Einstein condensates with attractive interaction,
described by the Gross-Pitaevskii functional. Minimizers of this functional exist
only if the interaction strength a satisfies {Mathematical expression}, where
Q is the unique positive radial solution of {Mathematical expression} in {Mathematical
expression}. We present a detailed analysis of the behavior of minimizers as a
approaches a*, where all the mass concentrates at a global minimum of the trapping
potential.
article_processing_charge: No
article_type: original
author:
- first_name: Yujin
full_name: Guo, Yujin
last_name: Guo
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates
with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156.
doi:10.1007/s11005-013-0667-9
apa: Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein
condensates with attractive interactions. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-013-0667-9
chicago: Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein
Condensates with Attractive Interactions.” Letters in Mathematical Physics.
Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9.
ieee: Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates
with attractive interactions,” Letters in Mathematical Physics, vol. 104,
no. 2. Springer, pp. 141–156, 2014.
ista: Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates
with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.
mla: Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein
Condensates with Attractive Interactions.” Letters in Mathematical Physics,
vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.
short: Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
date_created: 2018-12-11T11:56:44Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2024-02-14T12:19:42Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s11005-013-0667-9
external_id:
arxiv:
- '1301.5682'
intvolume: ' 104'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1301.5682
month: '02'
oa: 1
oa_version: Preprint
page: 141 - 156
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4653'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the mass concentration for Bose-Einstein condensates with attractive interactions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 104
year: '2014'
...
---
_id: '2297'
abstract:
- lang: eng
text: We present an overview of mathematical results on the low temperature properties
of dilute quantum gases, which have been obtained in the past few years. The presentation
includes a discussion of Bose-Einstein condensation, the excitation spectrum for
trapped gases and its relation to superfluidity, as well as the appearance of
quantized vortices in rotating systems. All these properties are intensely being
studied in current experiments on cold atomic gases. We will give a description
of the mathematics involved in understanding these phenomena, starting from the
underlying many-body Schrödinger equation.
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Hot topics in cold gases: A mathematical physics perspective.
Japanese Journal of Mathematics. 2013;8(2):185-232. doi:10.1007/s11537-013-1264-5'
apa: 'Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective.
Japanese Journal of Mathematics. Springer. https://doi.org/10.1007/s11537-013-1264-5'
chicago: 'Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.”
Japanese Journal of Mathematics. Springer, 2013. https://doi.org/10.1007/s11537-013-1264-5.'
ieee: 'R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,”
Japanese Journal of Mathematics, vol. 8, no. 2. Springer, pp. 185–232,
2013.'
ista: 'Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective.
Japanese Journal of Mathematics. 8(2), 185–232.'
mla: 'Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.”
Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232,
doi:10.1007/s11537-013-1264-5.'
short: R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
date_created: 2018-12-11T11:56:50Z
date_published: 2013-09-24T00:00:00Z
date_updated: 2021-01-12T06:56:36Z
day: '24'
department:
- _id: RoSe
doi: 10.1007/s11537-013-1264-5
external_id:
arxiv:
- '0908.3686'
intvolume: ' 8'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0908.3686
month: '09'
oa: 1
oa_version: Preprint
page: 185 - 232
publication: Japanese Journal of Mathematics
publication_status: published
publisher: Springer
publist_id: '4631'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Hot topics in cold gases: A mathematical physics perspective'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2013'
...
---
_id: '2300'
abstract:
- lang: eng
text: We consider Ising models in two and three dimensions with nearest neighbor
ferromagnetic interactions and long-range, power law decaying, antiferromagnetic
interactions. If the strength of the ferromagnetic coupling J is larger than a
critical value Jc, then the ground state is homogeneous and ferromagnetic. As
the critical value is approached from smaller values of J, it is believed that
the ground state consists of a periodic array of stripes (d=2) or slabs (d=3),
all of the same size and alternating magnetization. Here we prove rigorously that
the ground state energy per site converges to that of the optimal periodic striped
or slabbed state, in the limit that J tends to the ferromagnetic transition point.
While this theorem does not prove rigorously that the ground state is precisely
striped or slabbed, it does prove that in any suitably large box the ground state
is striped or slabbed with high probability.
article_number: '064401'
author:
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Giuliani A, Lieb É, Seiringer R. Realization of stripes and slabs in two and
three dimensions. Physical Review B. 2013;88(6). doi:10.1103/PhysRevB.88.064401
apa: Giuliani, A., Lieb, É., & Seiringer, R. (2013). Realization of stripes
and slabs in two and three dimensions. Physical Review B. American Physical
Society. https://doi.org/10.1103/PhysRevB.88.064401
chicago: Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization
of Stripes and Slabs in Two and Three Dimensions.” Physical Review B. American
Physical Society, 2013. https://doi.org/10.1103/PhysRevB.88.064401.
ieee: A. Giuliani, É. Lieb, and R. Seiringer, “Realization of stripes and slabs
in two and three dimensions,” Physical Review B, vol. 88, no. 6. American
Physical Society, 2013.
ista: Giuliani A, Lieb É, Seiringer R. 2013. Realization of stripes and slabs in
two and three dimensions. Physical Review B. 88(6), 064401.
mla: Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three
Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical
Society, 2013, doi:10.1103/PhysRevB.88.064401.
short: A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
date_created: 2018-12-11T11:56:51Z
date_published: 2013-08-01T00:00:00Z
date_updated: 2021-01-12T06:56:38Z
day: '01'
department:
- _id: RoSe
doi: 10.1103/PhysRevB.88.064401
external_id:
arxiv:
- '1305.5323'
intvolume: ' 88'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1305.5323
month: '08'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_status: published
publisher: American Physical Society
publist_id: '4627'
quality_controlled: '1'
scopus_import: 1
status: public
title: Realization of stripes and slabs in two and three dimensions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 88
year: '2013'
...
---
_id: '2318'
abstract:
- lang: eng
text: 'We show that bosons interacting via pair potentials with negative scattering
length form bound states for a suitable number of particles. In other words, the
absence of many-particle bound states of any kind implies the non-negativity of
the scattering length of the interaction potential. '
acknowledgement: 'Partial financial support by NSERC '
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. Absence of bound states implies non-negativity of the scattering
length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31
apa: Seiringer, R. (2012). Absence of bound states implies non-negativity of the
scattering length. Journal of Spectral Theory. European Mathematical Society.
https://doi.org/10.4171/JST/31
chicago: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the
Scattering Length.” Journal of Spectral Theory. European Mathematical Society,
2012. https://doi.org/10.4171/JST/31.
ieee: R. Seiringer, “Absence of bound states implies non-negativity of the scattering
length,” Journal of Spectral Theory, vol. 2, no. 3. European Mathematical
Society, pp. 321–328, 2012.
ista: Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering
length. Journal of Spectral Theory. 2(3), 321–328.
mla: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering
Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical
Society, 2012, pp. 321–28, doi:10.4171/JST/31.
short: R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
date_created: 2018-12-11T11:56:58Z
date_published: 2012-06-24T00:00:00Z
date_updated: 2021-01-12T06:56:44Z
day: '24'
department:
- _id: RoSe
doi: 10.4171/JST/31
intvolume: ' 2'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1204.0435
month: '06'
oa: 1
oa_version: Preprint
page: 321-328
publication: Journal of Spectral Theory
publication_status: published
publisher: European Mathematical Society
publist_id: '4609'
quality_controlled: '1'
status: public
title: Absence of bound states implies non-negativity of the scattering length
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2012'
...