---
_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
license: https://creativecommons.org/licenses/by/4.0/
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:
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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:
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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type: journal_article
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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
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has_accepted_license: '1'
intvolume: ' 691'
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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)
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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
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- access_level: open_access
checksum: fb404923d8ca9a1faeb949561f26cbea
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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
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has_accepted_license: '1'
intvolume: ' 105'
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
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
license: https://creativecommons.org/licenses/by-nc/4.0/
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
license: https://creativecommons.org/licenses/by-nd/4.0/
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'
...