---
_id: '13317'
abstract:
- lang: eng
text: We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables
in a typical translation invariant system of quantum spins with L-body interactions,
where L is the number of spins. This mathematically verifies the observation first
made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130)
that the ETH may hold for systems with additional translational symmetries for
a naturally restricted class of observables. We also present numerical support
for the same phenomenon for Hamiltonians with local interaction.
acknowledgement: "LE, JH, and VR were supported by ERC Advanced Grant “RMTBeyond”
No. 101020331. SS was supported by KAKENHI Grant Number JP22J14935 from the Japan
Society for the Promotion of Science (JSPS) and Forefront Physics and Mathematics
Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study
(WINGS) Program, the University of Tokyo.\r\nOpen access funding provided by The
University of Tokyo."
article_number: '128'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Shoki
full_name: Sugimoto, Shoki
last_name: Sugimoto
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Volodymyr
full_name: Riabov, Volodymyr
id: 1949f904-edfb-11eb-afb5-e2dfddabb93b
last_name: Riabov
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis
for translation invariant spin systems. Journal of Statistical Physics.
2023;190(7). doi:10.1007/s10955-023-03132-4
apa: Sugimoto, S., Henheik, S. J., Riabov, V., & Erdös, L. (2023). Eigenstate
thermalisation hypothesis for translation invariant spin systems. Journal of
Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-023-03132-4
chicago: Sugimoto, Shoki, Sven Joscha Henheik, Volodymyr Riabov, and László Erdös.
“Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.”
Journal of Statistical Physics. Springer Nature, 2023. https://doi.org/10.1007/s10955-023-03132-4.
ieee: S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation
hypothesis for translation invariant spin systems,” Journal of Statistical
Physics, vol. 190, no. 7. Springer Nature, 2023.
ista: Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation
hypothesis for translation invariant spin systems. Journal of Statistical Physics.
190(7), 128.
mla: Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation
Invariant Spin Systems.” Journal of Statistical Physics, vol. 190, no.
7, 128, Springer Nature, 2023, doi:10.1007/s10955-023-03132-4.
short: S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics
190 (2023).
date_created: 2023-07-30T22:01:02Z
date_published: 2023-07-21T00:00:00Z
date_updated: 2023-12-13T11:38:44Z
day: '21'
ddc:
- '510'
- '530'
department:
- _id: LaEr
doi: 10.1007/s10955-023-03132-4
ec_funded: 1
external_id:
arxiv:
- '2304.04213'
isi:
- '001035677200002'
file:
- access_level: open_access
checksum: c2ef6b2aecfee1ad6d03fab620507c2c
content_type: application/pdf
creator: dernst
date_created: 2023-07-31T07:49:31Z
date_updated: 2023-07-31T07:49:31Z
file_id: '13325'
file_name: 2023_JourStatPhysics_Sugimoto.pdf
file_size: 612755
relation: main_file
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- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Eigenstate thermalisation hypothesis for translation invariant spin systems
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: 190
year: '2023'
...
---
_id: '11917'
abstract:
- lang: eng
text: We study the many-body dynamics of an initially factorized bosonic wave function
in the mean-field regime. We prove large deviation estimates for the fluctuations
around the condensate. We derive an upper bound extending a recent result to more
general interactions. Furthermore, we derive a new lower bound which agrees with
the upper bound in leading order.
acknowledgement: "The authors thank Gérard Ben Arous for pointing out the question
of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation
programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie
Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding
provided by IST Austria."
article_number: '9'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting
bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4
apa: Rademacher, S. A. E., & Seiringer, R. (2022). Large deviation estimates
for weakly interacting bosons. Journal of Statistical Physics. Springer
Nature. https://doi.org/10.1007/s10955-022-02940-4
chicago: Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation
Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics.
Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4.
ieee: S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly
interacting bosons,” Journal of Statistical Physics, vol. 188. Springer
Nature, 2022.
ista: Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting
bosons. Journal of Statistical Physics. 188, 9.
mla: Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates
for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188,
9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.
short: S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
date_created: 2022-08-18T07:23:26Z
date_published: 2022-07-01T00:00:00Z
date_updated: 2023-08-03T12:55:58Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10955-022-02940-4
ec_funded: 1
external_id:
isi:
- '000805175000001'
file:
- access_level: open_access
checksum: 44418cb44f07fa21ed3907f85abf7f39
content_type: application/pdf
creator: dernst
date_created: 2022-08-18T08:09:00Z
date_updated: 2022-08-18T08:09:00Z
file_id: '11922'
file_name: 2022_JournalStatisticalPhysics_Rademacher.pdf
file_size: 483481
relation: main_file
success: 1
file_date_updated: 2022-08-18T08:09:00Z
has_accepted_license: '1'
intvolume: ' 188'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Large deviation estimates for weakly interacting bosons
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 188
year: '2022'
...
---
_id: '11732'
abstract:
- lang: eng
text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic
formula, which strongly depends on the strength of the interaction potential V
on the Fermi surface. In combination with the recent result by one of us (Math.
Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities,
we prove the universality of the ratio of the energy gap and the critical temperature.
acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and
many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges
partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open
access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of
Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9
apa: Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density.
Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9
chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap
at High Density.” Journal of Statistical Physics. Springer Nature, 2022.
https://doi.org/10.1007/s10955-022-02965-9.
ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal
of Statistical Physics, vol. 189. Springer Nature, 2022.
ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal
of Statistical Physics. 189, 5.
mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at
High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature,
2022, doi:10.1007/s10955-022-02965-9.
short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
date_created: 2022-08-05T11:36:56Z
date_published: 2022-07-29T00:00:00Z
date_updated: 2023-09-05T14:57:49Z
day: '29'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1007/s10955-022-02965-9
ec_funded: 1
external_id:
isi:
- '000833007200002'
file:
- access_level: open_access
checksum: b398c4dbf65f71d417981d6e366427e9
content_type: application/pdf
creator: dernst
date_created: 2022-08-08T07:36:34Z
date_updated: 2022-08-08T07:36:34Z
file_id: '11746'
file_name: 2022_JourStatisticalPhysics_Henheik.pdf
file_size: 419563
relation: main_file
success: 1
file_date_updated: 2022-08-08T07:36:34Z
has_accepted_license: '1'
intvolume: ' 189'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The BCS energy gap at high density
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 189
year: '2022'
...
---
_id: '10564'
abstract:
- lang: eng
text: We study a class of polaron-type Hamiltonians with sufficiently regular form
factor in the interaction term. We investigate the strong-coupling limit of the
model, and prove suitable bounds on the ground state energy as a function of the
total momentum of the system. These bounds agree with the semiclassical approximation
to leading order. The latter corresponds here to the situation when the particle
undergoes harmonic motion in a potential well whose frequency is determined by
the corresponding Pekar functional. We show that for all such models the effective
mass diverges in the strong coupling limit, in all spatial dimensions. Moreover,
for the case when the phonon dispersion relation grows at least linearly with
momentum, the bounds result in an asymptotic formula for the effective mass quotient,
a quantity generalizing the usual notion of the effective mass. This asymptotic
form agrees with the semiclassical Landau–Pekar formula and can be regarded as
the first rigorous confirmation, in a slightly weaker sense than usually considered,
of the validity of the semiclassical formula for the effective mass.
acknowledgement: Financial support through the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme Grant Agreement
No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.)
is gratefully acknowledged. Open access funding provided by Institute of Science
and Technology (IST Austria).
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Krzysztof
full_name: Mysliwy, Krzysztof
id: 316457FC-F248-11E8-B48F-1D18A9856A87
last_name: Mysliwy
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Mysliwy K, Seiringer R. Polaron models with regular interactions at strong
coupling. Journal of Statistical Physics. 2022;186(1). doi:10.1007/s10955-021-02851-w
apa: Mysliwy, K., & Seiringer, R. (2022). Polaron models with regular interactions
at strong coupling. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-021-02851-w
chicago: Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular
Interactions at Strong Coupling.” Journal of Statistical Physics. Springer
Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w.
ieee: K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at
strong coupling,” Journal of Statistical Physics, vol. 186, no. 1. Springer
Nature, 2022.
ista: Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at
strong coupling. Journal of Statistical Physics. 186(1), 5.
mla: Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions
at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5,
Springer Nature, 2022, doi:10.1007/s10955-021-02851-w.
short: K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
date_created: 2021-12-19T23:01:32Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2023-09-07T13:43:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s10955-021-02851-w
ec_funded: 1
external_id:
arxiv:
- '2106.09328'
isi:
- '000726275600001'
file:
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checksum: da03f6d293c4b9802091bce9471b1d29
content_type: application/pdf
creator: cchlebak
date_created: 2022-02-02T14:24:41Z
date_updated: 2022-02-02T14:24:41Z
file_id: '10716'
file_name: 2022_JournalStatPhys_Myśliwy.pdf
file_size: 434957
relation: main_file
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file_date_updated: 2022-02-02T14:24:41Z
has_accepted_license: '1'
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isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11473'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Polaron models with regular interactions at strong coupling
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 186
year: '2022'
...
---
_id: '7508'
abstract:
- lang: eng
text: In this paper, we introduce a novel method for deriving higher order corrections
to the mean-field description of the dynamics of interacting bosons. More precisely,
we consider the dynamics of N d-dimensional bosons for large N. The bosons initially
form a Bose–Einstein condensate and interact with each other via a pair potential
of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions
which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision
in powers of N−1. The approximating functions are constructed as Duhamel expansions
of finite order in terms of the first quantised analogue of a Bogoliubov time
evolution.
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research
Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics
of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello
Porta for helpful discussions. This project has received funding from the European
Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant
DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1.
Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and
P.P. thank A.S. for his hospitality at CCNU."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
- first_name: Avy
full_name: Soffer, Avy
last_name: Soffer
citation:
ama: Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the
mean-field description of the dynamics of interacting bosons. Journal of Statistical
Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8
apa: Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order
corrections to the mean-field description of the dynamics of interacting bosons.
Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8
chicago: Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order
Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.”
Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8.
ieee: L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections
to the mean-field description of the dynamics of interacting bosons,” Journal
of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020.
ista: Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections
to the mean-field description of the dynamics of interacting bosons. Journal of
Statistical Physics. 178, 1362–1396.
mla: Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description
of the Dynamics of Interacting Bosons.” Journal of Statistical Physics,
vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8.
short: L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics
178 (2020) 1362–1396.
date_created: 2020-02-23T09:45:51Z
date_published: 2020-02-21T00:00:00Z
date_updated: 2023-08-18T06:37:46Z
day: '21'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10955-020-02500-8
ec_funded: 1
external_id:
arxiv:
- '1905.06164'
isi:
- '000516342200001'
file:
- access_level: open_access
checksum: 643e230bf147e64d9cdb3f6cc573679d
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T09:26:46Z
date_updated: 2020-11-20T09:26:46Z
file_id: '8780'
file_name: 2020_JournStatPhysics_Bossmann.pdf
file_size: 576726
relation: main_file
success: 1
file_date_updated: 2020-11-20T09:26:46Z
has_accepted_license: '1'
intvolume: ' 178'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 1362-1396
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Higher order corrections to the mean-field description of the dynamics of interacting
bosons
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 178
year: '2020'
...
---
_id: '7235'
abstract:
- lang: eng
text: We consider the Fröhlich model of a polaron, and show that its effective mass
diverges in thestrong coupling limit.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). Financial support through the European Research Council (ERC) under
the European Union’s Horizon 2020 research and innovation programme (Grant Agreement
No. 694227; R.S.) is gratefully acknowledged.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the
strong coupling limit. Journal of Statistical Physics. 2020;180:23-33.
doi:10.1007/s10955-019-02322-3
apa: Lieb, E. H., & Seiringer, R. (2020). Divergence of the effective mass of
a polaron in the strong coupling limit. Journal of Statistical Physics.
Springer Nature. https://doi.org/10.1007/s10955-019-02322-3
chicago: Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass
of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics.
Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3.
ieee: E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron
in the strong coupling limit,” Journal of Statistical Physics, vol. 180.
Springer Nature, pp. 23–33, 2020.
ista: Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron
in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.
mla: Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of
a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics,
vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.
short: E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
date_created: 2020-01-07T09:42:03Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2023-09-05T14:57:29Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s10955-019-02322-3
ec_funded: 1
external_id:
isi:
- '000556199700003'
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creator: dernst
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file_name: 2020_JourStatPhysics_Lieb.pdf
file_size: 279749
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success: 1
file_date_updated: 2020-11-19T11:13:55Z
has_accepted_license: '1'
intvolume: ' 180'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 23-33
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Divergence of the effective mass of a polaron in the strong coupling limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 180
year: '2020'
...
---
_id: '7756'
abstract:
- lang: eng
text: We study the shear jamming of athermal frictionless soft spheres, and find
that in the thermodynamic limit, a shear-jammed state exists with different elastic
properties from the isotropically-jammed state. For example, shear-jammed states
can have a non-zero residual shear stress in the thermodynamic limit that arises
from long-range stress-stress correlations. As a result, the ratio of the shear
and bulk moduli, which in isotropically-jammed systems vanishes as the jamming
transition is approached from above, instead approaches a constant. Despite these
striking differences, we argue that in a deeper sense, the shear jamming and isotropic
jamming transitions actually have the same symmetry, and that the differences
can be fully understood by rotating the six-dimensional basis of the elastic modulus
tensor.
article_processing_charge: No
article_type: original
author:
- first_name: Marco
full_name: Baity-Jesi, Marco
last_name: Baity-Jesi
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Andrea J.
full_name: Liu, Andrea J.
last_name: Liu
- first_name: Sidney R.
full_name: Nagel, Sidney R.
last_name: Nagel
- first_name: James P.
full_name: Sethna, James P.
last_name: Sethna
citation:
ama: Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. Emergent SO(3) symmetry
of the frictionless shear jamming transition. Journal of Statistical Physics.
2017;167(3-4):735-748. doi:10.1007/s10955-016-1703-9
apa: Baity-Jesi, M., Goodrich, C. P., Liu, A. J., Nagel, S. R., & Sethna, J.
P. (2017). Emergent SO(3) symmetry of the frictionless shear jamming transition.
Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-016-1703-9
chicago: Baity-Jesi, Marco, Carl Peter Goodrich, Andrea J. Liu, Sidney R. Nagel,
and James P. Sethna. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming
Transition.” Journal of Statistical Physics. Springer Nature, 2017. https://doi.org/10.1007/s10955-016-1703-9.
ieee: M. Baity-Jesi, C. P. Goodrich, A. J. Liu, S. R. Nagel, and J. P. Sethna, “Emergent
SO(3) symmetry of the frictionless shear jamming transition,” Journal of Statistical
Physics, vol. 167, no. 3–4. Springer Nature, pp. 735–748, 2017.
ista: Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. 2017. Emergent SO(3)
symmetry of the frictionless shear jamming transition. Journal of Statistical
Physics. 167(3–4), 735–748.
mla: Baity-Jesi, Marco, et al. “Emergent SO(3) Symmetry of the Frictionless Shear
Jamming Transition.” Journal of Statistical Physics, vol. 167, no. 3–4,
Springer Nature, 2017, pp. 735–48, doi:10.1007/s10955-016-1703-9.
short: M. Baity-Jesi, C.P. Goodrich, A.J. Liu, S.R. Nagel, J.P. Sethna, Journal
of Statistical Physics 167 (2017) 735–748.
date_created: 2020-04-30T11:38:38Z
date_published: 2017-01-03T00:00:00Z
date_updated: 2021-01-12T08:15:19Z
day: '03'
doi: 10.1007/s10955-016-1703-9
extern: '1'
intvolume: ' 167'
issue: 3-4
language:
- iso: eng
month: '01'
oa_version: None
page: 735-748
publication: Journal of Statistical Physics
publication_identifier:
issn:
- 0022-4715
- 1572-9613
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Emergent SO(3) symmetry of the frictionless shear jamming transition
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 167
year: '2017'
...
---
_id: '2738'
abstract:
- lang: eng
text: We consider the long time evolution of a quantum particle weakly interacting
with a phonon field. We show that in the weak coupling limit the Wigner distribution
of the electron density matrix converges to the solution of the linear Boltzmann
equation globally in time. The collision kernel is identified as the sum of an
emission and an absorption term that depend on the equilibrium distribution of
the free phonon modes.
acknowledgement: "This work initially was a joint project with H.-T. Yau and several
ideas\r\npresented here have been developed in collaboration with him. I would like\r\nto
thank him for the invaluable discussions and encouragement through\r\nthe entire
work. Part of this project was completed during several visits at\r\nthe Erwin Schrödinger
Institute, Vienna, and at the Center of Theoretical\r\nStudies, Hsinchu, Taiwan.
The author is grateful for the hospitality and\r\nfinancial support. This work was
partially supported by NSF Grant DMS9970323."
article_processing_charge: No
article_type: original
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Erdös L. Linear Boltzmann equation as the long time dynamics of an electron
weakly coupled to a phonon field. Journal of Statistical Physics. 2002;107(5-6):1043-1127.
doi:10.1023/A:1015157624384
apa: Erdös, L. (2002). Linear Boltzmann equation as the long time dynamics of an
electron weakly coupled to a phonon field. Journal of Statistical Physics.
Springer. https://doi.org/10.1023/A:1015157624384
chicago: Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of
an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics.
Springer, 2002. https://doi.org/10.1023/A:1015157624384.
ieee: L. Erdös, “Linear Boltzmann equation as the long time dynamics of an electron
weakly coupled to a phonon field,” Journal of Statistical Physics, vol.
107, no. 5–6. Springer, pp. 1043–1127, 2002.
ista: Erdös L. 2002. Linear Boltzmann equation as the long time dynamics of an electron
weakly coupled to a phonon field. Journal of Statistical Physics. 107(5–6), 1043–1127.
mla: Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron
Weakly Coupled to a Phonon Field.” Journal of Statistical Physics, vol.
107, no. 5–6, Springer, 2002, pp. 1043–127, doi:10.1023/A:1015157624384.
short: L. Erdös, Journal of Statistical Physics 107 (2002) 1043–1127.
date_created: 2018-12-11T11:59:20Z
date_published: 2002-06-01T00:00:00Z
date_updated: 2023-07-18T09:08:45Z
day: '01'
doi: 10.1023/A:1015157624384
extern: '1'
external_id:
arxiv:
- math-ph/0108025
intvolume: ' 107'
issue: 5-6
language:
- iso: eng
month: '06'
oa_version: Submitted Version
page: 1043 - 1127
publication: Journal of Statistical Physics
publication_identifier:
issn:
- 0022-4715
publication_status: published
publisher: Springer
publist_id: '4154'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Linear Boltzmann equation as the long time dynamics of an electron weakly coupled
to a phonon field
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 107
year: '2002'
...
---
_id: '2732'
abstract:
- lang: eng
text: 'We consider a quantum particle moving in a harmonic exterior potential and
linearly coupled to a heat bath of quantum oscillators. Caldeira and Leggett derived
the Fokker Planck equation with friction for the Wigner distribution of the particle
in the large-temperature limit: however, their (nonrigorous) derivation was not
free of criticism, especially since the limiting equation is not of Lindblad form.
In this paper we recover the correct form of their result in a rigorous way. We
also point out that the source of the diffusion is physically restrictive under
this scaling. We investigate the model at a fixed temperature and in the large-time
limit, where the origin of the diffusion is a cumulative effect of many resonant
collisions. We obtain a heat equation with a friction term for the radial process
in phase space and we prove the Einstein relation in this case.'
acknowledgement: The authors are indebted to H. Spohn for discussions. F.C. and L.E.
were partially supported by the Erwin Schrödinger Institute in Vienna (Austria)
during their visit, and they thank this institution for its hospitality. This work
was supported by the TMR-Network ``Asymptotic Methods in Kinetic Theory'' number
ERB FMBX CT97 0157 (F.C., F.F., and P.A.M.) and by NSF Grant DMS-9970323 (L.E.).
article_processing_charge: No
article_type: original
author:
- first_name: François
full_name: Castella, François
last_name: Castella
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Florian
full_name: Frommlet, Florian
last_name: Frommlet
- first_name: Peter
full_name: Markowich, Peter
last_name: Markowich
citation:
ama: Castella F, Erdös L, Frommlet F, Markowich P. Fokker-Planck equations as scaling
limits of reversible quantum systems. Journal of Statistical Physics. 2000;100(3-4):543-601.
doi:10.1023/A:1018667323830
apa: Castella, F., Erdös, L., Frommlet, F., & Markowich, P. (2000). Fokker-Planck
equations as scaling limits of reversible quantum systems. Journal of Statistical
Physics. Springer. https://doi.org/10.1023/A:1018667323830
chicago: Castella, François, László Erdös, Florian Frommlet, and Peter Markowich.
“Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” Journal
of Statistical Physics. Springer, 2000. https://doi.org/10.1023/A:1018667323830.
ieee: F. Castella, L. Erdös, F. Frommlet, and P. Markowich, “Fokker-Planck equations
as scaling limits of reversible quantum systems,” Journal of Statistical Physics,
vol. 100, no. 3–4. Springer, pp. 543–601, 2000.
ista: Castella F, Erdös L, Frommlet F, Markowich P. 2000. Fokker-Planck equations
as scaling limits of reversible quantum systems. Journal of Statistical Physics.
100(3–4), 543–601.
mla: Castella, François, et al. “Fokker-Planck Equations as Scaling Limits of Reversible
Quantum Systems.” Journal of Statistical Physics, vol. 100, no. 3–4, Springer,
2000, pp. 543–601, doi:10.1023/A:1018667323830.
short: F. Castella, L. Erdös, F. Frommlet, P. Markowich, Journal of Statistical
Physics 100 (2000) 543–601.
date_created: 2018-12-11T11:59:18Z
date_published: 2000-01-01T00:00:00Z
date_updated: 2023-05-03T09:02:11Z
day: '01'
doi: 10.1023/A:1018667323830
extern: '1'
intvolume: ' 100'
issue: 3-4
language:
- iso: eng
month: '01'
oa_version: None
page: 543 - 601
publication: Journal of Statistical Physics
publication_identifier:
issn:
- 0022-4715
publication_status: published
publisher: Springer
publist_id: '4160'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fokker-Planck equations as scaling limits of reversible quantum systems
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 100
year: '2000'
...
---
_id: '2721'
abstract:
- lang: eng
text: We consider a multidimensional system consisting of a particle of mass M and
radius r (molecule), surrounded by an infinite ideal gas of point particles of
mass m (atoms). The molecule is confined to the unit ball and interacts with its
boundary (barrier) via elastic collision, while the atoms are not affected by
the boundary. We obtain convergence to equilibrium for the molecule from almost
every initial distribution on its position and velocity. Furthermore, we prove
that the infinite composite system of the molecule and the atoms is Bernoulli.
article_processing_charge: No
article_type: original
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dao
full_name: Tuyen, Dao
last_name: Tuyen
citation:
ama: Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with
a semipermeable barrier. Journal of Statistical Physics. 1990;59(5-6):1589-1602.
doi:10.1007/BF01334766
apa: Erdös, L., & Tuyen, D. (1990). Ergodic properties of the multidimensional
rayleigh gas with a semipermeable barrier. Journal of Statistical Physics.
Springer. https://doi.org/10.1007/BF01334766
chicago: Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional
Rayleigh Gas with a Semipermeable Barrier.” Journal of Statistical Physics.
Springer, 1990. https://doi.org/10.1007/BF01334766.
ieee: L. Erdös and D. Tuyen, “Ergodic properties of the multidimensional rayleigh
gas with a semipermeable barrier,” Journal of Statistical Physics, vol.
59, no. 5–6. Springer, pp. 1589–1602, 1990.
ista: Erdös L, Tuyen D. 1990. Ergodic properties of the multidimensional rayleigh
gas with a semipermeable barrier. Journal of Statistical Physics. 59(5–6), 1589–1602.
mla: Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh
Gas with a Semipermeable Barrier.” Journal of Statistical Physics, vol.
59, no. 5–6, Springer, 1990, pp. 1589–602, doi:10.1007/BF01334766.
short: L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602.
date_created: 2018-12-11T11:59:15Z
date_published: 1990-06-01T00:00:00Z
date_updated: 2022-02-24T09:39:29Z
day: '01'
doi: 10.1007/BF01334766
extern: '1'
intvolume: ' 59'
issue: 5-6
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF01334766
month: '06'
oa_version: None
page: 1589 - 1602
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer
publist_id: '4171'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ergodic properties of the multidimensional rayleigh gas with a semipermeable
barrier
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 59
year: '1990'
...