---
_id: '2398'
abstract:
- lang: eng
text: We extend the mathematical theory of quantum hypothesis testing to the general
W*-algebraic setting and explore its relation with recent developments in non-equilibrium
quantum statistical mechanics. In particular, we relate the large deviation principle
for the full counting statistics of entropy flow to quantum hypothesis testing
of the arrow of time.
author:
- first_name: Vojkan
full_name: Jakšić, Vojkan
last_name: Jakšić
- first_name: Yoshiko
full_name: Ogata, Yoshiko
last_name: Ogata
- first_name: Claude
full_name: Pillet, Claude A
last_name: Pillet
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium
statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026
apa: Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis
testing and non-equilibrium statistical mechanics. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026
chicago: Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum
Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical
Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
ieee: V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing
and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics,
vol. 24, no. 6. World Scientific Publishing, 2012.
ista: Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing
and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).
mla: Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical
Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific
Publishing, 2012, doi:10.1142/S0129055X12300026.
short: V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics
24 (2012).
date_created: 2018-12-11T11:57:26Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2020-07-14T12:45:40Z
day: '01'
doi: 10.1142/S0129055X12300026
extern: 1
intvolume: ' 24'
issue: '6'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.3804
month: '07'
oa: 1
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4528'
quality_controlled: 0
status: public
title: Quantum hypothesis testing and non-equilibrium statistical mechanics
type: review
volume: 24
year: '2012'
...
---
_id: '2397'
abstract:
- lang: eng
text: We consider the low-density limit of a Fermi gas in the BCS approximation.
We show that if the interaction potential allows for a two-particle bound state,
the system at zero temperature is well approximated by the Gross-Pitaevskii functional,
describing a Bose-Einstein condensate of fermion pairs.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation
of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138.
doi:10.1007/s11005-011-0535-4
apa: Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and
Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-011-0535-4
chicago: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory
and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics.
Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4.
ieee: C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein
condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100,
no. 2. Springer, pp. 119–138, 2012.
ista: Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein
condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.
mla: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and
Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics,
vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:14Z
day: '01'
doi: 10.1007/s11005-011-0535-4
extern: 1
intvolume: ' 100'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1105.1100
month: '05'
oa: 1
page: 119 - 138
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4530'
quality_controlled: 0
status: public
title: Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
type: journal_article
volume: 100
year: '2012'
...
---
_id: '240'
abstract:
- lang: eng
text: We investigate the frequency of positive squareful numbers x, y, z≤B for which
x+y=z and present a conjecture concerning its asymptotic behavior.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: K Van
full_name: Valckenborgh, K Van
last_name: Valckenborgh
citation:
ama: Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental
Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733
apa: Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful
numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733
chicago: Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.”
Experimental Mathematics. Taylor & Francis, 2012. https://doi.org/10.1080/10586458.2011.605733.
ieee: T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,”
Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211,
2012.
ista: Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental
Mathematics. 21(2), 204–211.
mla: Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.”
Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp.
204–11, doi:10.1080/10586458.2011.605733.
short: T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.
date_created: 2018-12-11T11:45:23Z
date_published: 2012-05-23T00:00:00Z
date_updated: 2021-01-12T06:57:15Z
day: '23'
doi: 10.1080/10586458.2011.605733
extern: 1
intvolume: ' 21'
issue: '2'
month: '05'
page: 204 - 211
publication: Experimental Mathematics
publication_status: published
publisher: Taylor & Francis
publist_id: '7664'
quality_controlled: 0
status: public
title: Sums of three squareful numbers
type: journal_article
volume: 21
year: '2012'
...
---
_id: '2400'
abstract:
- lang: eng
text: If the polaron coupling constant α is large enough, bipolarons or multi-polarons
will form. When passing through the critical α c from above, does the radius of
the system simply get arbitrarily large or does it reach a maximum and then explode?
We prove that it is always the latter. We also prove the analogous statement for
the Pekar-Tomasevich (PT) approximation to the energy, in which case there is
a solution to the PT equation at α c. Similarly, we show that the same phenomenon
occurs for atoms, e. g., helium, at the critical value of the nuclear charge.
Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger
equation, and are very general. They use the fact that the Coulomb repulsion decays
like 1/r, while 'uncertainty principle' localization energies decay more rapidly,
as 1/r 2.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications
in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9
apa: Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms
at threshold. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1436-9
chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons
and Atoms at Threshold.” Communications in Mathematical Physics. Springer,
2012. https://doi.org/10.1007/s00220-012-1436-9.
ieee: R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,”
Communications in Mathematical Physics, vol. 313, no. 2. Springer, pp.
405–424, 2012.
ista: Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold.
Communications in Mathematical Physics. 313(2), 405–424.
mla: Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications
in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313
(2012) 405–424.
date_created: 2018-12-11T11:57:27Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:15Z
day: '01'
doi: 10.1007/s00220-012-1436-9
extern: 1
intvolume: ' 313'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1106.0729
month: '07'
oa: 1
page: 405 - 424
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4527'
quality_controlled: 0
status: public
title: Binding of polarons and atoms at threshold
type: journal_article
volume: 313
year: '2012'
...
---
_id: '2403'
abstract:
- lang: eng
text: We study the effects of random scatterers on the ground state of the one-dimensional
Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii
regime. We prove that Bose-Einstein condensation survives even a strong random
potential with a high density of scatterers. The character of the wavefunction
of the condensate, however, depends in an essential way on the interplay between
randomness and the strength of the two-body interaction. For low density of scatterers
and strong interactions the wavefunction extends over the whole interval. A high
density of scatterers and weak interactions, on the other hand, lead to localization
of the wavefunction in a fragmented subset of the interval.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
- first_name: Valentin
full_name: Zagrebnov, Valentin A
last_name: Zagrebnov
citation:
ama: Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates
with interaction in one dimension. Journal of Statistical Mechanics Theory
and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007
apa: Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein
condensates with interaction in one dimension. Journal of Statistical Mechanics
Theory and Experiment. IOP Publishing Ltd. https://doi.org/10.1088/1742-5468/2012/11/P11007
chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered
Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical
Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007.
ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates
with interaction in one dimension,” Journal of Statistical Mechanics Theory
and Experiment, vol. 2012, no. 11. IOP Publishing Ltd., 2012.
ista: Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates
with interaction in one dimension. Journal of Statistical Mechanics Theory and
Experiment. 2012(11).
mla: Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction
in One Dimension.” Journal of Statistical Mechanics Theory and Experiment,
vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
short: R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics
Theory and Experiment 2012 (2012).
date_created: 2018-12-11T11:57:28Z
date_published: 2012-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '01'
doi: 10.1088/1742-5468/2012/11/P11007
extern: 1
intvolume: ' 2012'
issue: '11'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1207.7054
month: '11'
oa: 1
publication: Journal of Statistical Mechanics Theory and Experiment
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4523'
quality_controlled: 0
status: public
title: Disordered Bose-Einstein condensates with interaction in one dimension
type: journal_article
volume: 2012
year: '2012'
...