---
OA_place: publisher
OA_type: hybrid
_id: '21472'
abstract:
- lang: eng
text: We study the ground state energy of a gas of spin 1/2 fermions with repulsive
short-range interactions. We derive an upper bound that agrees, at low density
e, with the Huang–Yang conjecture. The latter captures the first three terms in
an asymptotic low-density expansion, and in particular the Huang–Yang correction
term of order e^7/3. Our trial state is constructed using an adaptation of the
bosonic Bogoliubov theory to the Fermi system, where the correlation structure
of fermionic particles is incorporated by quasi-bosonic Bogoliubov transformations.
In the latter, it is important to consider a modified zero-energy scattering equation
that takes into account the presence of the Fermi sea, in the spirit of the Bethe–Goldstone
equation.
acknowledgement: "We thank the referees for valuable remarks. This work was partially
funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
via the TRR 352 – Project-ID 470903074. PTN was partially supported by the European
Research Council via the ERC Consolidator Grant RAMBAS – Project-Nr. 10104424.\r\nOpen
access publishing facilitated by Università degli Studi di Milano, as part of the
Wiley - CRUI-CARE agreement."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Emanuela L.
full_name: Giacomelli, Emanuela L.
last_name: Giacomelli
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Phan Thành
full_name: Nam, Phan Thành
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: 'Giacomelli EL, Hainzl C, Nam PT, Seiringer R. The Huang–Yang formula for the
low-density Fermi gas: Upper bound. Communications on Pure and Applied Mathematics.
2026. doi:10.1002/cpa.70040'
apa: 'Giacomelli, E. L., Hainzl, C., Nam, P. T., & Seiringer, R. (2026). The
Huang–Yang formula for the low-density Fermi gas: Upper bound. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.70040'
chicago: 'Giacomelli, Emanuela L., Christian Hainzl, Phan Thành Nam, and Robert
Seiringer. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.”
Communications on Pure and Applied Mathematics. Wiley, 2026. https://doi.org/10.1002/cpa.70040.'
ieee: 'E. L. Giacomelli, C. Hainzl, P. T. Nam, and R. Seiringer, “The Huang–Yang
formula for the low-density Fermi gas: Upper bound,” Communications on Pure
and Applied Mathematics. Wiley, 2026.'
ista: 'Giacomelli EL, Hainzl C, Nam PT, Seiringer R. 2026. The Huang–Yang formula
for the low-density Fermi gas: Upper bound. Communications on Pure and Applied
Mathematics.'
mla: 'Giacomelli, Emanuela L., et al. “The Huang–Yang Formula for the Low-Density
Fermi Gas: Upper Bound.” Communications on Pure and Applied Mathematics,
Wiley, 2026, doi:10.1002/cpa.70040.'
short: E.L. Giacomelli, C. Hainzl, P.T. Nam, R. Seiringer, Communications on Pure
and Applied Mathematics (2026).
date_created: 2026-03-22T23:04:33Z
date_published: 2026-03-13T00:00:00Z
date_updated: 2026-03-23T13:32:14Z
day: '13'
department:
- _id: RoSe
doi: 10.1002/cpa.70040
external_id:
arxiv:
- '2409.17914'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1002/cpa.70040
month: '03'
oa: 1
oa_version: Published Version
publication: Communications on Pure and Applied Mathematics
publication_identifier:
eissn:
- 1097-0312
issn:
- 0010-3640
publication_status: epub_ahead
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Huang–Yang formula for the low-density Fermi gas: Upper bound'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '18074'
abstract:
- lang: eng
text: The Aharonov–Casher theorem is a result on the number of the so-called zero
modes of a system described by the magnetic Pauli operator in R2. In this paper
we address the same question for the Dirac operator on a flat two-dimensional
manifold with boundary and Atiyah–Patodi–Singer boundary condition. More concretely
we are interested in the plane and a disc with a finite number of circular holes
cut out. We consider a smooth compactly supported magnetic field on the manifold
and an arbitrary magnetic field inside the holes.
acknowledgement: "First and foremost I am grateful to Jan Philip Solovej for fruitful
meetings during (and after) my PhD programme, when this work was done. Further I
would like to thank Joshua Hunt, Anna Sisak, Jakub Löwit, Błażej Ruba, Volodymir
Riabov, Lukas Schimmer and Georgios Koutentakis for valuable discussions. Many thanks
belong to Rafael Benguria for hosting my visit, during which some of the work has
been done. I am also grateful to Marina Prokhorova who first initiated the discussion
of this project topic and to Annemarie Luger for her valuable comments during my
PhD defence and in particular pointing out the qualitative difference in our two
main results. I would like to acknowledge support for research on this paper from
VILLUM FONDEN through the QMATH Centre of Excellence grant. nr. 10059. This project
also received funding from the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie grant agreement No 101034413. I am grateful
to the two reviewers for reading carefully my manuscript and pointing out several
issues contributing thus significantly to the readability and clarity of this paper.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Marie
full_name: Fialova, Marie
id: e9c9844d-9e21-11ec-b482-f96fc09f7c4d
last_name: Fialova
citation:
ama: Fialova M. Aharonov–Casher theorems for Dirac operators on manifolds with boundary
and APS boundary condition. Annales Henri Poincare. 2025;26:2859-2900.
doi:10.1007/s00023-024-01482-7
apa: Fialova, M. (2025). Aharonov–Casher theorems for Dirac operators on manifolds
with boundary and APS boundary condition. Annales Henri Poincare. Springer
Nature. https://doi.org/10.1007/s00023-024-01482-7
chicago: Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds
with Boundary and APS Boundary Condition.” Annales Henri Poincare. Springer
Nature, 2025. https://doi.org/10.1007/s00023-024-01482-7.
ieee: M. Fialova, “Aharonov–Casher theorems for Dirac operators on manifolds with
boundary and APS boundary condition,” Annales Henri Poincare, vol. 26.
Springer Nature, pp. 2859–2900, 2025.
ista: Fialova M. 2025. Aharonov–Casher theorems for Dirac operators on manifolds
with boundary and APS boundary condition. Annales Henri Poincare. 26, 2859–2900.
mla: Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds
with Boundary and APS Boundary Condition.” Annales Henri Poincare, vol.
26, Springer Nature, 2025, pp. 2859–900, doi:10.1007/s00023-024-01482-7.
short: M. Fialova, Annales Henri Poincare 26 (2025) 2859–2900.
corr_author: '1'
date_created: 2024-09-15T22:01:42Z
date_published: 2025-08-01T00:00:00Z
date_updated: 2025-09-30T10:22:14Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00023-024-01482-7
ec_funded: 1
external_id:
arxiv:
- '2304.13373'
isi:
- '001304370000001'
file:
- access_level: open_access
checksum: d8d2d6dbce293c9ee6eaa9262e597147
content_type: application/pdf
creator: dernst
date_created: 2025-08-05T11:24:25Z
date_updated: 2025-08-05T11:24:25Z
file_id: '20124'
file_name: 2025_AnnalesHenriPoincare_Fialova.pdf
file_size: 728124
relation: main_file
success: 1
file_date_updated: 2025-08-05T11:24:25Z
has_accepted_license: '1'
intvolume: ' 26'
isi: 1
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 2859-2900
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Aharonov–Casher theorems for Dirac operators on manifolds with boundary and
APS boundary condition
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: repository
OA_type: green
_id: '20045'
abstract:
- lang: eng
text: We consider the time evolution of the renormalized Nelson model, which describes
N bosons linearly coupled to a quantized scalar field, in the mean-field limit
of many particles N≫1 with coupling constant proportional to N^−1/2. First, we
show that initial states exhibiting Bose–Einstein condensation for the particles
and approximating a coherent state for the quantum field retain their structure
under the many-body time evolution. Concretely, the dynamics of the reduced densities
are approximated by solutions of two coupled PDEs, the Schrödinger–Klein–Gordon
equations. Second, we construct a renormalized Bogoliubov evolution that describes
the quantum fluctuations around the Schrödinger–Klein–Gordon equations. This evolution
is used to extend the approximation of the evolved many-body state to the full
norm topology. In summary, we provide a comprehensive analysis of the Nelson model
that reveals the role of renormalization in the mean-field Bogoliubov theory.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marco
full_name: Falconi, Marco
last_name: Falconi
- first_name: Jonas
full_name: Lampart, Jonas
last_name: Lampart
- first_name: Nikolai
full_name: Leopold, Nikolai
last_name: Leopold
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Falconi M, Lampart J, Leopold N, Mitrouskas DJ. Renormalized Bogoliubov theory
for the Nelson model. Annales de l’Institut Henri Poincaré C. 2025. doi:10.4171/aihpc/154
apa: Falconi, M., Lampart, J., Leopold, N., & Mitrouskas, D. J. (2025). Renormalized
Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré
C. EMS Press. https://doi.org/10.4171/aihpc/154
chicago: Falconi, Marco, Jonas Lampart, Nikolai Leopold, and David Johannes Mitrouskas.
“Renormalized Bogoliubov Theory for the Nelson Model.” Annales de l’Institut
Henri Poincaré C. EMS Press, 2025. https://doi.org/10.4171/aihpc/154.
ieee: M. Falconi, J. Lampart, N. Leopold, and D. J. Mitrouskas, “Renormalized Bogoliubov
theory for the Nelson model,” Annales de l’Institut Henri Poincaré C. EMS
Press, 2025.
ista: Falconi M, Lampart J, Leopold N, Mitrouskas DJ. 2025. Renormalized Bogoliubov
theory for the Nelson model. Annales de l’Institut Henri Poincaré C.
mla: Falconi, Marco, et al. “Renormalized Bogoliubov Theory for the Nelson Model.”
Annales de l’Institut Henri Poincaré C, EMS Press, 2025, doi:10.4171/aihpc/154.
short: M. Falconi, J. Lampart, N. Leopold, D.J. Mitrouskas, Annales de l’Institut
Henri Poincaré C (2025).
date_created: 2025-07-21T07:59:16Z
date_published: 2025-05-06T00:00:00Z
date_updated: 2025-12-30T07:31:09Z
day: '06'
department:
- _id: RoSe
doi: 10.4171/aihpc/154
external_id:
arxiv:
- '2305.06722'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2305.06722
month: '05'
oa: 1
oa_version: Preprint
publication: Annales de l'Institut Henri Poincaré C
publication_identifier:
eissn:
- 1873-1430
issn:
- 0294-1449
publication_status: epub_ahead
publisher: EMS Press
quality_controlled: '1'
status: public
title: Renormalized Bogoliubov theory for the Nelson model
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20251'
abstract:
- lang: eng
text: The Lane–Emden inequality controls (math. formular) in terms of the L^1 and
L^p norms of p. We provide a remainder estimate for this inequality in terms of
a suitable distance of p to the manifold of optimizers.
acknowledgement: We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.
article_number: '226'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Eric
full_name: Carlen, Eric
last_name: Carlen
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Carlen E, Lewin M, Lieb EH, Seiringer R. Stability estimate for the Lane–Emden
inequality. Calculus of Variations and Partial Differential Equations.
2025;64(7). doi:10.1007/s00526-025-03062-x
apa: Carlen, E., Lewin, M., Lieb, E. H., & Seiringer, R. (2025). Stability estimate
for the Lane–Emden inequality. Calculus of Variations and Partial Differential
Equations. Springer Nature. https://doi.org/10.1007/s00526-025-03062-x
chicago: Carlen, Eric, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer. “Stability
Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial
Differential Equations. Springer Nature, 2025. https://doi.org/10.1007/s00526-025-03062-x.
ieee: E. Carlen, M. Lewin, E. H. Lieb, and R. Seiringer, “Stability estimate for
the Lane–Emden inequality,” Calculus of Variations and Partial Differential
Equations, vol. 64, no. 7. Springer Nature, 2025.
ista: Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the
Lane–Emden inequality. Calculus of Variations and Partial Differential Equations.
64(7), 226.
mla: Carlen, Eric, et al. “Stability Estimate for the Lane–Emden Inequality.” Calculus
of Variations and Partial Differential Equations, vol. 64, no. 7, 226, Springer
Nature, 2025, doi:10.1007/s00526-025-03062-x.
short: E. Carlen, M. Lewin, E.H. Lieb, R. Seiringer, Calculus of Variations and
Partial Differential Equations 64 (2025).
date_created: 2025-08-31T22:01:31Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2025-09-30T14:27:35Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00526-025-03062-x
external_id:
arxiv:
- '2410.20113'
isi:
- '001558641300006'
intvolume: ' 64'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.20113
month: '09'
oa: 1
oa_version: Preprint
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
eissn:
- 1432-0835
issn:
- 0944-2669
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stability estimate for the Lane–Emden inequality
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 64
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20495'
abstract:
- lang: eng
text: We consider a tracer particle coupled to a Bose scalar field and study the
regime where the field’s propagation speed approaches infinity. For initial states
devoid of field excitations, we introduce an effective approximation of the time-evolved
wave function and prove its validity in Hilbert space norm. In this approximation,
the field remains in the vacuum state, while the tracer particle propagates with
a modified dispersion relation. Physically, the new dispersion relation can be
understood as the effect of radiative corrections due to interactions with virtual
bosons. Mathematically, it is defined as the solution of a self-consistent nonlinear
equation, whose form depends on the relevant time scale.
acknowledgement: E.C. is deeply grateful to Robert Seiringer for his hospitality at
ISTA, without which this project would not have been possible. E.C. is thankful
to Thomas Chen for valuable comments and for pointing out useful references. E.C
gratefully acknowledges support from the Provost’s Graduate Excellence Fellowship
at The University of Texas at Austin and from the NSF grant DMS-2009549, and the
NSF grant DMS-2009800 through T. Chen. This material is based upon work supported
by the National Science Foundation under Grant No. DMS-1928930, while E.C was in
residence at the Simons Laufer Mathematical Sciences Institute in Berkeley, California,
during the Fall 2025 semester.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Esteban
full_name: Cárdenas, Esteban
last_name: Cárdenas
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Cárdenas E, Mitrouskas DJ. Radiative corrections to the dynamics of a tracer
particle coupled to a Bose ccalar field. Annales Henri Poincare. 2025.
doi:10.1007/s00023-025-01626-3
apa: Cárdenas, E., & Mitrouskas, D. J. (2025). Radiative corrections to the
dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri
Poincare. Springer Nature. https://doi.org/10.1007/s00023-025-01626-3
chicago: Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections
to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales
Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-025-01626-3.
ieee: E. Cárdenas and D. J. Mitrouskas, “Radiative corrections to the dynamics of
a tracer particle coupled to a Bose ccalar field,” Annales Henri Poincare.
Springer Nature, 2025.
ista: Cárdenas E, Mitrouskas DJ. 2025. Radiative corrections to the dynamics of
a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare.
mla: Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to
the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales
Henri Poincare, Springer Nature, 2025, doi:10.1007/s00023-025-01626-3.
short: E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025).
date_created: 2025-10-19T22:01:32Z
date_published: 2025-10-03T00:00:00Z
date_updated: 2025-12-01T12:56:12Z
day: '03'
department:
- _id: RoSe
doi: 10.1007/s00023-025-01626-3
external_id:
arxiv:
- '2405.05251'
isi:
- '001586237500001'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2405.05251
month: '10'
oa: 1
oa_version: Preprint
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Radiative corrections to the dynamics of a tracer particle coupled to a Bose
ccalar field
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19372'
abstract:
- lang: eng
text: We consider the confined Fröhlich polaron and establish an asymptotic series
for the low-energy eigenvalues in negative powers of the coupling constant. The
coefficients of the series are derived through a two-fold perturbation approach,
involving expansions around the electron Pekar minimizer and the excitations of
the quantum field.
acknowledgement: M.B. gratefully acknowledges funding from the ERC Advanced Grant
ERC-AdG CLaQS, grant agreement n. 83478.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Morris
full_name: Brooks, Morris
id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425
last_name: Brooks
orcid: 0000-0002-6249-0928
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the
Fröhlich polaron at strong coupling. Probability and Mathematical Physics.
2025;6(1):281-325. doi:10.2140/pmp.2025.6.281
apa: Brooks, M., & Mitrouskas, D. J. (2025). Asymptotic series for low-energy
excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical
Physics. Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2025.6.281
chicago: Brooks, Morris, and David Johannes Mitrouskas. “ Asymptotic Series for
Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability
and Mathematical Physics. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/pmp.2025.6.281.
ieee: M. Brooks and D. J. Mitrouskas, “ Asymptotic series for low-energy excitations
of the Fröhlich polaron at strong coupling,” Probability and Mathematical Physics,
vol. 6, no. 1. Mathematical Sciences Publishers, pp. 281–325, 2025.
ista: Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations
of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics.
6(1), 281–325.
mla: Brooks, Morris, and David Johannes Mitrouskas. “ Asymptotic Series for Low-Energy
Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical
Physics, vol. 6, no. 1, Mathematical Sciences Publishers, 2025, pp. 281–325,
doi:10.2140/pmp.2025.6.281.
short: M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025)
281–325.
corr_author: '1'
date_created: 2025-03-09T23:01:28Z
date_published: 2025-02-23T00:00:00Z
date_updated: 2025-03-10T07:19:02Z
day: '23'
department:
- _id: RoSe
doi: 10.2140/pmp.2025.6.281
external_id:
arxiv:
- '2306.16373'
intvolume: ' 6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2306.16373
month: '02'
oa: 1
oa_version: Preprint
page: 281-325
publication: Probability and Mathematical Physics
publication_identifier:
eissn:
- 2690-1005
issn:
- 2690-0998
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: ' Asymptotic series for low-energy excitations of the Fröhlich polaron at strong
coupling'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19403'
abstract:
- lang: eng
text: We study the BCS critical temperature on half-spaces in dimensions d =1, 2,
3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature
on a half-space is strictly higher than on Rd, at least at weak coupling in d
= 1, 2 and weak coupling and small chemical potential in d = 3. Furthermore, we
show that the relative shift in critical temperature vanishes in the weak coupling
limit.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). Financial support by the Austrian Science Fund (FWF) through project
number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.
article_number: '20'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Roos B, Seiringer R. BCS critical temperature on half-spaces. Archive for
Rational Mechanics and Analysis. 2025;249. doi:10.1007/s00205-025-02088-x
apa: Roos, B., & Seiringer, R. (2025). BCS critical temperature on half-spaces.
Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02088-x
chicago: Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02088-x.
ieee: B. Roos and R. Seiringer, “BCS critical temperature on half-spaces,” Archive
for Rational Mechanics and Analysis, vol. 249. Springer Nature, 2025.
ista: Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive
for Rational Mechanics and Analysis. 249, 20.
mla: Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.”
Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature,
2025, doi:10.1007/s00205-025-02088-x.
short: B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
corr_author: '1'
date_created: 2025-03-16T23:01:24Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-09-30T11:01:08Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-025-02088-x
external_id:
arxiv:
- '2306.05824'
isi:
- '001435380100001'
pmid:
- '40041541'
file:
- access_level: open_access
checksum: 66803fb63a57987eb4f13ee2949bea77
content_type: application/pdf
creator: dernst
date_created: 2025-03-17T10:07:45Z
date_updated: 2025-03-17T10:07:45Z
file_id: '19412'
file_name: 2025_ArchiveRatMech_Roos.pdf
file_size: 1224282
relation: main_file
success: 1
file_date_updated: 2025-03-17T10:07:45Z
has_accepted_license: '1'
intvolume: ' 249'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: BCS critical temperature on half-spaces
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 249
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '19628'
abstract:
- lang: eng
text: We consider the critical temperature for superconductivity, defined via the
linear BCS equation. We prove that at weak coupling the critical temperature for
a sample confined to a quadrant in two dimensions is strictly larger than the
one for a half-space, which in turn is strictly larger than the one for R^2.
Furthermore, we prove that the relative difference of the critical temperatures
vanishes in the weak coupling limit.
article_number: e71
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear
BCS equation. Forum of Mathematics, Sigma. 2025;13. doi:10.1017/fms.2024.145
apa: Roos, B., & Seiringer, R. (2025). Enhanced superconductivity at a corner
for the linear BCS equation. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2024.145
chicago: Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner
for the Linear BCS Equation.” Forum of Mathematics, Sigma. Cambridge University
Press, 2025. https://doi.org/10.1017/fms.2024.145.
ieee: B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the
linear BCS equation,” Forum of Mathematics, Sigma, vol. 13. Cambridge University
Press, 2025.
ista: Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the
linear BCS equation. Forum of Mathematics, Sigma. 13, e71.
mla: Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner
for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71,
Cambridge University Press, 2025, doi:10.1017/fms.2024.145.
short: B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (2025).
corr_author: '1'
date_created: 2025-04-27T22:02:14Z
date_published: 2025-04-14T00:00:00Z
date_updated: 2025-09-30T12:20:22Z
day: '14'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1017/fms.2024.145
external_id:
arxiv:
- '2308.07115'
isi:
- '001465985500001'
file:
- access_level: open_access
checksum: b0919b3a14f2cb39f8df0e3f41b8d6f1
content_type: application/pdf
creator: dernst
date_created: 2025-05-05T09:41:42Z
date_updated: 2025-05-05T09:41:42Z
file_id: '19651'
file_name: 2025_ForumMathSigma_Roos.pdf
file_size: 631645
relation: main_file
success: 1
file_date_updated: 2025-05-05T09:41:42Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Enhanced superconductivity at a corner for the linear BCS equation
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19642'
abstract:
- lang: eng
text: We study the criticality and subcriticality of powers (−Δ) α with α>0 of
the discrete Laplacian −Δ acting on ℓ 2 (N). We prove that these positive powers
of the Laplacian are critical if and only if α≥3/2. We complement our analysis
with Hardy-type inequalities for (−Δ) α in the subcritical regimes α∈(0,3/2).
As an illustration of the critical case α≥3/2, we analyze asymptotic properties
of discrete eigenvalues emerging by coupling (−Δ) α with a localized potential.
acknowledgement: "We are grateful to Petr Siegl for a helpful suggestion leading to
Hardy weights with the expected optimal decay rate.\r\nThe authors acknowledge the
support of the EXPRO grant no. 20-17749X of the Czech Science Foundation.\r\n"
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Borbála M
full_name: Gerhát, Borbála M
id: 00ffceaa-f31d-11ee-93bd-f7e13e61af5e
last_name: Gerhát
- first_name: David
full_name: Krejčiřík, David
last_name: Krejčiřík
- first_name: František
full_name: Štampach, František
last_name: Štampach
citation:
ama: Gerhát BM, Krejčiřík D, Štampach F. Criticality transition for positive powers
of the discrete Laplacian on the half line. Revista Matematica Iberoamericana.
2025;41(3):1173-1200. doi:10.4171/RMI/1523
apa: Gerhát, B. M., Krejčiřík, D., & Štampach, F. (2025). Criticality transition
for positive powers of the discrete Laplacian on the half line. Revista Matematica
Iberoamericana. EMS Press. https://doi.org/10.4171/RMI/1523
chicago: Gerhát, Borbála M, David Krejčiřík, and František Štampach. “Criticality
Transition for Positive Powers of the Discrete Laplacian on the Half Line.” Revista
Matematica Iberoamericana. EMS Press, 2025. https://doi.org/10.4171/RMI/1523.
ieee: B. M. Gerhát, D. Krejčiřík, and F. Štampach, “Criticality transition for positive
powers of the discrete Laplacian on the half line,” Revista Matematica Iberoamericana,
vol. 41, no. 3. EMS Press, pp. 1173–1200, 2025.
ista: Gerhát BM, Krejčiřík D, Štampach F. 2025. Criticality transition for positive
powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana.
41(3), 1173–1200.
mla: Gerhát, Borbála M., et al. “Criticality Transition for Positive Powers of the
Discrete Laplacian on the Half Line.” Revista Matematica Iberoamericana,
vol. 41, no. 3, EMS Press, 2025, pp. 1173–200, doi:10.4171/RMI/1523.
short: B.M. Gerhát, D. Krejčiřík, F. Štampach, Revista Matematica Iberoamericana
41 (2025) 1173–1200.
corr_author: '1'
date_created: 2025-05-04T22:02:32Z
date_published: 2025-01-23T00:00:00Z
date_updated: 2025-09-30T12:23:41Z
day: '23'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.4171/RMI/1523
external_id:
arxiv:
- '2307.09919'
isi:
- '001476507600013'
file:
- access_level: open_access
checksum: 90031b93459af54a6e63ddf2818c6f42
content_type: application/pdf
creator: dernst
date_created: 2025-05-05T11:38:34Z
date_updated: 2025-05-05T11:38:34Z
file_id: '19656'
file_name: 2025_RevistaMat_Gerhat.pdf
file_size: 555474
relation: main_file
success: 1
file_date_updated: 2025-05-05T11:38:34Z
has_accepted_license: '1'
intvolume: ' 41'
isi: 1
issue: '3'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1173-1200
publication: Revista Matematica Iberoamericana
publication_identifier:
eissn:
- 2235-0616
issn:
- 0213-2230
publication_status: published
publisher: EMS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Criticality transition for positive powers of the discrete Laplacian on the
half line
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 41
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19660'
abstract:
- lang: eng
text: We analyze the ground state energy of N fermions in a two-dimensional box
interacting with an impurity particle via two-body point interactions. We show
that for weak coupling, the ground state energy is asymptotically described by
the polaron energy, as proposed by F. Chevy in the physics literature. The polaron
energy is the solution of a nonlinear equation involving the Green’s function
of the free Fermi gas and the binding energy of the two-body point interaction.
We provide quantitative error estimates that are uniform in the thermodynamic
limit.
acknowledgement: The author would like to thank Ulrich Linden for introducing him
to the Fermi polaron and for his valuable contributions in the early stages of this
project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments.
Open access funding provided by Institute of Science and Technology (IST Austria).
article_number: '30'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. Archive
for Rational Mechanics and Analysis. 2025;249(3). doi:10.1007/s00205-025-02098-9
apa: Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron.
Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02098-9
chicago: Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02098-9.
ieee: D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” Archive
for Rational Mechanics and Analysis, vol. 249, no. 3. Springer Nature, 2025.
ista: Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive
for Rational Mechanics and Analysis. 249(3), 30.
mla: Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.”
Archive for Rational Mechanics and Analysis, vol. 249, no. 3, 30, Springer
Nature, 2025, doi:10.1007/s00205-025-02098-9.
short: D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).
corr_author: '1'
date_created: 2025-05-11T22:02:37Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-30T12:25:19Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00205-025-02098-9
external_id:
isi:
- '001482770500001'
file:
- access_level: open_access
checksum: 3606ebd34d59d03f8c66a3a1794c3e4f
content_type: application/pdf
creator: dernst
date_created: 2025-05-12T07:27:28Z
date_updated: 2025-05-12T07:27:28Z
file_id: '19676'
file_name: 2025_ArchiveRatioMechanics_Mitrouskas.pdf
file_size: 886318
relation: main_file
success: 1
file_date_updated: 2025-05-12T07:27:28Z
has_accepted_license: '1'
intvolume: ' 249'
isi: 1
issue: '3'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The weakly coupled two-dimensional Fermi polaron
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 249
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19661'
abstract:
- lang: eng
text: The Nelson model describes non-relativistic particles coupled to a relativistic
Bose scalar field. In this article, we study the renormalized version of the Nelson
model with massless bosons in Davies' weak coupling limit. Our main result states
that the two-body Coulomb potential emerges as an effective pair interaction between
the particles, which arises from the exchange of virtual excitations of the quantum
field.
acknowledgement: "D M thanks Nataˇsa Pavlovi´c for the invitation to the University
of Texas at Austin and for the\r\nhospitality offered by the department, where part
of this work was performed. E C gratefully\r\nacknowledges support from NSF under
Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´"
article_number: '175201'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Esteban
full_name: Cárdenas, Esteban
last_name: Cárdenas
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: 'Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling
limit. Journal of Physics A: Mathematical and Theoretical. 2025;58(17).
doi:10.1088/1751-8121/adcdd9'
apa: 'Cárdenas, E., & Mitrouskas, D. J. (2025). The renormalized Nelson model
in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical.
IOP Publishing. https://doi.org/10.1088/1751-8121/adcdd9'
chicago: 'Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson
Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical.
IOP Publishing, 2025. https://doi.org/10.1088/1751-8121/adcdd9.'
ieee: 'E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak
coupling limit,” Journal of Physics A: Mathematical and Theoretical, vol.
58, no. 17. IOP Publishing, 2025.'
ista: 'Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak
coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.'
mla: 'Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson
Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical,
vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:10.1088/1751-8121/adcdd9.'
short: 'E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical
58 (2025).'
corr_author: '1'
date_created: 2025-05-11T22:02:37Z
date_published: 2025-04-28T00:00:00Z
date_updated: 2025-09-30T12:24:45Z
day: '28'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1088/1751-8121/adcdd9
external_id:
arxiv:
- '2412.01670'
isi:
- '001474094200001'
file:
- access_level: open_access
checksum: a181e1c2d8df08eb683a355e81c5e85a
content_type: application/pdf
creator: dernst
date_created: 2025-05-12T07:13:07Z
date_updated: 2025-05-12T07:13:07Z
file_id: '19675'
file_name: 2025_JourPhysicsA_Cardenas.pdf
file_size: 551190
relation: main_file
success: 1
file_date_updated: 2025-05-12T07:13:07Z
has_accepted_license: '1'
intvolume: ' 58'
isi: 1
issue: '17'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
eissn:
- 1751-8121
issn:
- 1751-8113
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The renormalized Nelson model in the weak 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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 58
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '19705'
abstract:
- lang: eng
text: A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm
magnetic field, is investigated. Contrary to the case of the Pauli operator with
regular magnetic potentials, it is shown that both components of the Pauli operator
are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric
(not necessarily self-adjoint) perturbations, are derived.
acknowledgement: Thanks belong to Johannes Ageskov and Matˇej Tuˇsek for helpful discussions
on some technical details. M. F. would further like to acknowledge support for research
on this paper from the European Unions Horizon 2020 research and innovation programme
under the Marie Sklodowska-Curie Grant Agreement No. 101034413 as well as support
by funding from Villum Fonden through the QMATH Centreof Excellence Grant No. 10059.
D. K. was supported by the EXPRO Grant No.20-17749X of the Czech Science Foundation
(GACR).
article_number: '2550011'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Marie
full_name: Fialova, Marie
id: e9c9844d-9e21-11ec-b482-f96fc09f7c4d
last_name: Fialova
- first_name: David
full_name: Krejčiřík, David
last_name: Krejčiřík
citation:
ama: Fialova M, Krejčiřík D. Virtual bound states of the Pauli operator with an
Aharonov–Bohm potential. Reviews in Mathematical Physics. 2025;37(6). doi:10.1142/S0129055X25500114
apa: Fialova, M., & Krejčiřík, D. (2025). Virtual bound states of the Pauli
operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics.
World Scientific Publishing. https://doi.org/10.1142/S0129055X25500114
chicago: Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli
Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics.
World Scientific Publishing, 2025. https://doi.org/10.1142/S0129055X25500114.
ieee: M. Fialova and D. Krejčiřík, “Virtual bound states of the Pauli operator with
an Aharonov–Bohm potential,” Reviews in Mathematical Physics, vol. 37,
no. 6. World Scientific Publishing, 2025.
ista: Fialova M, Krejčiřík D. 2025. Virtual bound states of the Pauli operator with
an Aharonov–Bohm potential. Reviews in Mathematical Physics. 37(6), 2550011.
mla: Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator
with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics, vol.
37, no. 6, 2550011, World Scientific Publishing, 2025, doi:10.1142/S0129055X25500114.
short: M. Fialova, D. Krejčiřík, Reviews in Mathematical Physics 37 (2025).
date_created: 2025-05-18T22:02:51Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2025-12-30T08:24:05Z
day: '01'
ddc:
- '530'
- '510'
department:
- _id: RoSe
doi: 10.1142/S0129055X25500114
ec_funded: 1
external_id:
arxiv:
- '2501.17029'
isi:
- '001481012500001'
file:
- access_level: open_access
checksum: 559d97ee2da28bf0bd2c6af507f3a914
content_type: application/pdf
creator: dernst
date_created: 2025-12-30T08:23:12Z
date_updated: 2025-12-30T08:23:12Z
file_id: '20893'
file_name: 2025_ReviewsMathPhysics_Fialova.pdf
file_size: 484646
relation: main_file
success: 1
file_date_updated: 2025-12-30T08:23:12Z
has_accepted_license: '1'
intvolume: ' 37'
isi: 1
issue: '6'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Virtual bound states of the Pauli operator with an Aharonov–Bohm 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: 37
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21270'
abstract:
- lang: eng
text: "The one-dimensional Fröhlich model describing the motion of a single electron
interacting with optical phonons is a paradigmatic model of quantum many-body
physics. We predict the existence of an arbitrarily large number of bound excited
states in the strong-coupling limit and calculate their excitation energies. Numerical
simulations of a discretized model demonstrate the complete amelioration of the
projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert
space. They reveal the threshold for the occurrence of the first bound excited
states at a value of \U0001D6FC≈1.73 for the dimensionless coupling constant.
This puts the threshold into the regime of intermediate interaction strength.
We find a significant spectral weight and increased phonon number of the bound
excited state at threshold."
acknowledgement: We are grateful to Dmytro Kolisnyk for his help in working out the
spectrum of the Hessian. This work was supported by the Marsden Fund of New Zealand
(Contract No. MAU2007) from government funding administered by the Royal Society
Te Apārangi and by a summer scholarship from Te Whai Ao – Dodd-Walls Centre for
Photonic and Quantum Technologies and the Physics Department, University of Auckland.
We acknowledge support by the New Zealand eScience Infrastructure (NeSI) high-performance
computing facilities in the form of a merit project allocation.
article_number: '184312'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: J.
full_name: Taylor, J.
last_name: Taylor
- first_name: M.
full_name: Čufar, M.
last_name: Čufar
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: E.
full_name: Pahl, E.
last_name: Pahl
- first_name: J.
full_name: Brand, J.
last_name: Brand
citation:
ama: Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. Bound excited
states of Fröhlich polarons in one dimension. Physical Review B. 2025;112(18).
doi:10.1103/s9p9-jflq
apa: Taylor, J., Čufar, M., Mitrouskas, D. J., Seiringer, R., Pahl, E., & Brand,
J. (2025). Bound excited states of Fröhlich polarons in one dimension. Physical
Review B. American Physical Society. https://doi.org/10.1103/s9p9-jflq
chicago: Taylor, J., M. Čufar, David Johannes Mitrouskas, Robert Seiringer, E. Pahl,
and J. Brand. “Bound Excited States of Fröhlich Polarons in One Dimension.” Physical
Review B. American Physical Society, 2025. https://doi.org/10.1103/s9p9-jflq.
ieee: J. Taylor, M. Čufar, D. J. Mitrouskas, R. Seiringer, E. Pahl, and J. Brand,
“Bound excited states of Fröhlich polarons in one dimension,” Physical Review
B, vol. 112, no. 18. American Physical Society, 2025.
ista: Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. 2025. Bound
excited states of Fröhlich polarons in one dimension. Physical Review B. 112(18),
184312.
mla: Taylor, J., et al. “Bound Excited States of Fröhlich Polarons in One Dimension.”
Physical Review B, vol. 112, no. 18, 184312, American Physical Society,
2025, doi:10.1103/s9p9-jflq.
short: J. Taylor, M. Čufar, D.J. Mitrouskas, R. Seiringer, E. Pahl, J. Brand, Physical
Review B 112 (2025).
date_created: 2026-02-17T07:56:20Z
date_published: 2025-11-18T00:00:00Z
date_updated: 2026-02-18T08:23:59Z
day: '18'
department:
- _id: RoSe
doi: 10.1103/s9p9-jflq
external_id:
arxiv:
- '2506.02440 '
intvolume: ' 112'
issue: '18'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: 'https://doi.org/10.48550/arXiv.2506.02440 '
month: '11'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bound excited states of Fröhlich polarons in one dimension
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19548'
abstract:
- lang: eng
text: "We consider the BCS energy gap „.T / (essentially given by „.T / \x19 \x81.T;
p\x16/,\r\nthe BCS order parameter) at all temperatures 0 \x14 T \x14 Tc up to
the critical one, Tc, and show\r\nthat, in the limit of weak coupling, the ratio
„.T /=Tc is given by a universal function of the relative temperature T =Tc. On
the one hand, this recovers a recent result by Langmann and Triola\r\n[Phys. Rev.
B 108 (2023), no. 10, article no. 104503] on three-dimensional s-wave superconductors
for temperatures bounded uniformly away from Tc. On the other hand, our result
lifts these\r\nrestrictions, as we consider arbitrary spatial dimensions d 2 ¹1;
2; 3º, discuss superconductors\r\nwith non-zero angular momentum (primarily in
two dimensions), and treat the perhaps physically most interesting (due to the
occurrence of the superconducting phase transition) regime of\r\ntemperatures
close to Tc.\r\n\r\n\r\n ."
acknowledgement: "We thank Andreas Deuchert, Christian Hainzl, Edwin Langmann, Marius
Lemm, Robert Seiringer, and Jan Philip Solovej for helpful discussions,\r\nand Edwin
Langmann and Robert Seiringer for valuable comments on an earlier version of the
manuscript.\r\nFunding. Joscha Henheik gratefully acknowledges partial financial
support by the\r\nERC Advanced Grant “RMTBeyond” No. 101020331. Asbjørn Bækgaard
Lauritsen\r\ngratefully acknowledges partial financial support by the Austrian Science
Fund (FWF)\r\nthrough grant DOI 10.55776/I6427 (as part of the SFB/TRR 352).\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
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. Universal behavior of the BCS energy gap. Journal
of Spectral Theory. 2025;15(1):305–352. doi:10.4171/JST/540
apa: Henheik, S. J., & Lauritsen, A. B. (2025). Universal behavior of the BCS
energy gap. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/540
chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior
of the BCS Energy Gap.” Journal of Spectral Theory. EMS Press, 2025. https://doi.org/10.4171/JST/540.
ieee: S. J. Henheik and A. B. Lauritsen, “Universal behavior of the BCS energy gap,”
Journal of Spectral Theory, vol. 15, no. 1. EMS Press, pp. 305–352, 2025.
ista: Henheik SJ, Lauritsen AB. 2025. Universal behavior of the BCS energy gap.
Journal of Spectral Theory. 15(1), 305–352.
mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior of
the BCS Energy Gap.” Journal of Spectral Theory, vol. 15, no. 1, EMS Press,
2025, pp. 305–352, doi:10.4171/JST/540.
short: S.J. Henheik, A.B. Lauritsen, Journal of Spectral Theory 15 (2025) 305–352.
corr_author: '1'
date_created: 2025-04-11T09:19:28Z
date_published: 2025-01-09T00:00:00Z
date_updated: 2026-04-07T12:37:11Z
day: '09'
ddc:
- '500'
department:
- _id: LaEr
- _id: RoSe
doi: 10.4171/JST/540
ec_funded: 1
external_id:
arxiv:
- '2312.11310'
isi:
- '001438931600009'
file:
- access_level: open_access
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creator: cchlebak
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date_updated: 2025-04-11T09:13:31Z
file_id: '19549'
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file_size: 779158
relation: main_file
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month: '01'
oa: 1
oa_version: Published Version
page: 305–352
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Journal of Spectral Theory
publication_identifier:
eissn:
- 1664-0403
publication_status: published
publisher: EMS Press
quality_controlled: '1'
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Universal behavior of the BCS energy gap
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: 15
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '17240'
abstract:
- lang: eng
text: We prove an upper bound on the energy density of the dilute spin-\(\frac {1}{2}\)
Fermi gas capturing the leading correction to the kinetic energy\(8\pi a\rho _\uparrow\rho
_\downarrow\) with an error of size smaller than\(a\rho^{2}(a^ 3\rho)^{1/3-\varepsilon}\)
for any\(\varepsilon> 0\), where a denotes the scattering length of the interaction.
The result is valid for a large class of interactions including interactions with
a hard core. A central ingredient in the proof is a rigorous version of a fermionic
cluster expansion adapted from the formal expansion of Gaudin et al. (Nucl Phys
A 176(2):237–260, 1971. https://doi.org/10.1016/0375-9474(71)90267-3).
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria).\r\nWe thank Alessandro Giuliani and Robert Seiringer for helpful
discussions and Robert Seiringer for his comments on the manuscript. Financial support
by the Austrian Science Fund (FWF) through Grant https://doi.org/10.55776/I6427
(as part of the SFB/TRR 352) is gratefully acknowledged."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. Almost optimal upper bound for the ground state energy of a dilute
Fermi gas via cluster expansion. Annales Henri Poincare. 2025;26:203-243.
doi:10.1007/s00023-024-01450-1
apa: Lauritsen, A. B. (2025). Almost optimal upper bound for the ground state energy
of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. Springer
Nature. https://doi.org/10.1007/s00023-024-01450-1
chicago: Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground
State Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare.
Springer Nature, 2025. https://doi.org/10.1007/s00023-024-01450-1.
ieee: A. B. Lauritsen, “Almost optimal upper bound for the ground state energy of
a dilute Fermi gas via cluster expansion,” Annales Henri Poincare, vol.
26. Springer Nature, pp. 203–243, 2025.
ista: Lauritsen AB. 2025. Almost optimal upper bound for the ground state energy
of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. 26, 203–243.
mla: Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State
Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare,
vol. 26, Springer Nature, 2025, pp. 203–43, doi:10.1007/s00023-024-01450-1.
short: A.B. Lauritsen, Annales Henri Poincare 26 (2025) 203–243.
corr_author: '1'
date_created: 2024-07-14T22:01:12Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2026-04-07T13:01:40Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00023-024-01450-1
external_id:
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pmid:
- '39926012'
file:
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checksum: 01b6572f55f721e97498522c85072ed2
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creator: dernst
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date_updated: 2025-08-05T11:42:27Z
file_id: '20125'
file_name: 2025_AnnalesHenriPoincare_Lauritsen.pdf
file_size: 797241
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page: 203-243
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grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '18135'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Almost optimal upper bound for the ground state energy of a dilute Fermi gas
via cluster expansion
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '18948'
abstract:
- lang: eng
text: We consider a gas of N bosons with interactions in the mean-field scaling
regime. We review a recent proof of the asymptotic expansion of its spectrum and
eigenstates and two applications of this result, namely the derivation of an Edgeworth
expansion for fluctuations of one-body operators and the computation of the binding
energy of an inhomogeneous Bose gas to any order. Finally, we collect related
results for the dynamics of the weakly interacting Bose gas and for the regularized
Nelson model.
acknowledgement: It is our pleasure to thank Marco Falconi, Nataša Pavlović, Peter
Pickl, Robert Seiringer and Avy Soffer for the collaboration on the works [11, 13,
14, 21, 33, 39]. L.B. was supported by the German Research Foundation within the
Munich Center of Quantum Science and Technology (EXC 2111). N.L. acknowledges support
from the Swiss National Science Foundation through the NCCR SwissMap and funding
from the European Union’s Horizon 2020 research and innovation programme under the
Marie Skłodowska-Curie grant agreement No 101024712. S.P. acknowledges funding by
the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project
number 512258249.
alternative_title:
- Fundamental Theories of Physics
article_processing_charge: No
arxiv: 1
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
- first_name: Nikolai
full_name: Leopold, Nikolai
last_name: Leopold
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Sören
full_name: Petrat, Sören
last_name: Petrat
citation:
ama: 'Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. Asymptotic Analysis of the Weakly
Interacting Bose Gas: A Collection of Recent Results and Applications. In: Bassi
A, Goldstein S, Tumulka R, Zanghi N, eds. Physics and the Nature of Reality.
Vol 215. FTPH. Cham: Springer Nature; 2024:307-321. doi:10.1007/978-3-031-45434-9_22'
apa: 'Bossmann, L., Leopold, N., Mitrouskas, D. J., & Petrat, S. (2024). Asymptotic
Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.
In A. Bassi, S. Goldstein, R. Tumulka, & N. Zanghi (Eds.), Physics and
the Nature of Reality (Vol. 215, pp. 307–321). Cham: Springer Nature. https://doi.org/10.1007/978-3-031-45434-9_22'
chicago: 'Bossmann, Lea, Nikolai Leopold, David Johannes Mitrouskas, and Sören Petrat.
“Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent
Results and Applications.” In Physics and the Nature of Reality, edited
by Angelo Bassi, Sheldon Goldstein, Roderich Tumulka, and Nino Zanghi, 215:307–21.
FTPH. Cham: Springer Nature, 2024. https://doi.org/10.1007/978-3-031-45434-9_22.'
ieee: 'L. Bossmann, N. Leopold, D. J. Mitrouskas, and S. Petrat, “Asymptotic Analysis
of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications,”
in Physics and the Nature of Reality, vol. 215, A. Bassi, S. Goldstein,
R. Tumulka, and N. Zanghi, Eds. Cham: Springer Nature, 2024, pp. 307–321.'
ista: 'Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. 2024.Asymptotic Analysis
of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.
In: Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215,
307–321.'
mla: 'Bossmann, Lea, et al. “Asymptotic Analysis of the Weakly Interacting Bose
Gas: A Collection of Recent Results and Applications.” Physics and the Nature
of Reality, edited by Angelo Bassi et al., vol. 215, Springer Nature, 2024,
pp. 307–21, doi:10.1007/978-3-031-45434-9_22.'
short: L. Bossmann, N. Leopold, D.J. Mitrouskas, S. Petrat, in:, A. Bassi, S. Goldstein,
R. Tumulka, N. Zanghi (Eds.), Physics and the Nature of Reality, Springer Nature,
Cham, 2024, pp. 307–321.
date_created: 2025-01-29T10:30:08Z
date_published: 2024-02-04T00:00:00Z
date_updated: 2025-01-29T10:35:10Z
day: '04'
department:
- _id: RoSe
doi: 10.1007/978-3-031-45434-9_22
editor:
- first_name: Angelo
full_name: Bassi, Angelo
last_name: Bassi
- first_name: Sheldon
full_name: Goldstein, Sheldon
last_name: Goldstein
- first_name: Roderich
full_name: Tumulka, Roderich
last_name: Tumulka
- first_name: Nino
full_name: Zanghi, Nino
last_name: Zanghi
external_id:
arxiv:
- '2304.12910'
intvolume: ' 215'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.12910
month: '02'
oa: 1
oa_version: Preprint
page: 307-321
place: Cham
publication: Physics and the Nature of Reality
publication_identifier:
eisbn:
- '9783031454349'
eissn:
- 2365-6425
isbn:
- '9783031454332'
issn:
- 0168-1222
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: FTPH
status: public
title: 'Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent
Results and Applications'
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 215
year: '2024'
...
---
_id: '18958'
abstract:
- lang: eng
text: This workshop brought together experts on the analysis of quantum many-body
problems and quantum statistical mechanics, with the goal of discussing the state-of-the-art
of the field, recent developments as well as challenges for the future. The main
topics of discussion concerned the equilibrium and dynamical behavior of (bosonic
or fermionic) quantum gases, quantum spin systems, as well as quantum field theory
models like the Nelson or Fröhlich model.
acknowledgement: The MFO and the workshop organizers would like to thank the National
Science Foundation for supporting the participation of junior researchers in the
workshop by the grant DMS-2230648, “US Junior Oberwolfach Fellows”.
article_processing_charge: No
article_type: original
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Simone
full_name: Warzel, Simone
last_name: Warzel
citation:
ama: Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach
Reports. 2024;20(3):2247-2302. doi:10.4171/owr/2023/39
apa: Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2024). Many-body
quantum systems. Oberwolfach Reports. EMS Press. https://doi.org/10.4171/owr/2023/39
chicago: Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel.
“Many-Body Quantum Systems.” Oberwolfach Reports. EMS Press, 2024. https://doi.org/10.4171/owr/2023/39.
ieee: C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,”
Oberwolfach Reports, vol. 20, no. 3. EMS Press, pp. 2247–2302, 2024.
ista: Hainzl C, Schlein B, Seiringer R, Warzel S. 2024. Many-body quantum systems.
Oberwolfach Reports. 20(3), 2247–2302.
mla: Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports,
vol. 20, no. 3, EMS Press, 2024, pp. 2247–302, doi:10.4171/owr/2023/39.
short: C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024)
2247–2302.
date_created: 2025-01-29T13:09:28Z
date_published: 2024-04-18T00:00:00Z
date_updated: 2025-01-29T13:19:06Z
day: '18'
department:
- _id: RoSe
doi: 10.4171/owr/2023/39
intvolume: ' 20'
issue: '3'
language:
- iso: eng
month: '04'
oa_version: None
page: 2247-2302
publication: Oberwolfach Reports
publication_identifier:
eissn:
- 1660-8941
issn:
- 1660-8933
publication_status: published
publisher: EMS Press
quality_controlled: '1'
status: public
title: Many-body quantum systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2024'
...
---
_id: '15318'
abstract:
- lang: eng
text: We consider a gas of N weakly interacting bosons in the ground state. Such
gases exhibit Bose–Einstein condensation. The binding energy is defined as the
energy it takes to remove one particle from the gas. In this article, we prove
an asymptotic expansion for the binding energy, and compute the first orders explicitly
for the homogeneous gas. Our result addresses in particular a conjecture by Nam
(Lett Math Phys 108(1):141–159, 2018), and provides an asymptotic expansion of
the ionization energy of bosonic atoms.
acknowledgement: "It is a pleasure to thank Phan Thành Nam for helpful discussions
on bosonic atoms. L.B. was supported by the German Research Foundation within the
Munich Center of Quantum Science and Technology (EXC 2111). N.L. gratefully acknowledges
support from the Swiss National Science Foundation through the NCCR SwissMap and
funding from the European Union’s Horizon 2020 research and innovation programme
under the Marie Skłodowska-Curie Grant agreement No 101024712. S.P. acknowledges
funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project
number 512258249.\r\nOpen Access funding enabled and organized by Projekt DEAL."
article_number: '48'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
citation:
ama: Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. A note on the binding energy
for Bosons in the mean-field limit. Journal of Statistical Physics. 2024;191(4).
doi:10.1007/s10955-024-03260-5
apa: Bossmann, L., Leopold, N. K., Mitrouskas, D. J., & Petrat, S. P. (2024).
A note on the binding energy for Bosons in the mean-field limit. Journal of
Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-024-03260-5
chicago: Bossmann, Lea, Nikolai K Leopold, David Johannes Mitrouskas, and Sören
P Petrat. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” Journal
of Statistical Physics. Springer Nature, 2024. https://doi.org/10.1007/s10955-024-03260-5.
ieee: L. Bossmann, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “A note on
the binding energy for Bosons in the mean-field limit,” Journal of Statistical
Physics, vol. 191, no. 4. Springer Nature, 2024.
ista: Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. 2024. A note on the binding
energy for Bosons in the mean-field limit. Journal of Statistical Physics. 191(4),
48.
mla: Bossmann, Lea, et al. “A Note on the Binding Energy for Bosons in the Mean-Field
Limit.” Journal of Statistical Physics, vol. 191, no. 4, 48, Springer Nature,
2024, doi:10.1007/s10955-024-03260-5.
short: L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical
Physics 191 (2024).
date_created: 2024-04-14T22:01:02Z
date_published: 2024-04-06T00:00:00Z
date_updated: 2025-09-04T13:36:49Z
day: '06'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10955-024-03260-5
external_id:
arxiv:
- '2307.13115'
isi:
- '001197663100002'
file:
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content_type: application/pdf
creator: dernst
date_created: 2024-04-16T11:09:37Z
date_updated: 2024-04-16T11:09:37Z
file_id: '15325'
file_name: 2024_JourStatPhysics_Bossmann.pdf
file_size: 398665
relation: main_file
success: 1
file_date_updated: 2024-04-16T11:09:37Z
has_accepted_license: '1'
intvolume: ' 191'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
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: A note on the binding energy for Bosons in the mean-field limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 191
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '17478'
abstract:
- lang: eng
text: "We study the Fröhlich polaron model in R3, and prove a lower bound on its
ground state energy as a function of the total momentum. The bound is asymptotically
sharp at large coupling. In combination with a corresponding upper bound proved
earlier (Mitrouskas et al. in Forum Math. Sigma 11:1–52, 2023), it shows that
the energy is approximately parabolic below the continuum threshold, and that
the polaron’s effective mass (defined as the semi-latus rectum of the\r\nparabola)
is given by the celebrated Landau–Pekar formula. In particular, it diverges as
α4 for large coupling constant α."
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Morris
full_name: Brooks, Morris
id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425
last_name: Brooks
orcid: 0000-0002-6249-0928
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II —
Energy-momentum relation and effective mass. Publications Mathematiques de
l’Institut des Hautes Etudes Scientifiques. 2024;140:271-309. doi:10.1007/s10240-024-00150-0'
apa: 'Brooks, M., & Seiringer, R. (2024). The Fröhlich polaron at strong coupling:
Part II — Energy-momentum relation and effective mass. Publications Mathematiques
de l’Institut Des Hautes Etudes Scientifiques. Springer Nature. https://doi.org/10.1007/s10240-024-00150-0'
chicago: 'Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong
Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications
Mathematiques de l’Institut Des Hautes Etudes Scientifiques. Springer Nature,
2024. https://doi.org/10.1007/s10240-024-00150-0.'
ieee: 'M. Brooks and R. Seiringer, “The Fröhlich polaron at strong coupling: Part
II — Energy-momentum relation and effective mass,” Publications Mathematiques
de l’Institut des Hautes Etudes Scientifiques, vol. 140. Springer Nature,
pp. 271–309, 2024.'
ista: 'Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part
II — Energy-momentum relation and effective mass. Publications Mathematiques de
l’Institut des Hautes Etudes Scientifiques. 140, 271–309.'
mla: 'Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling:
Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques
de l’Institut Des Hautes Etudes Scientifiques, vol. 140, Springer Nature,
2024, pp. 271–309, doi:10.1007/s10240-024-00150-0.'
short: M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes
Etudes Scientifiques 140 (2024) 271–309.
corr_author: '1'
date_created: 2024-09-01T22:01:08Z
date_published: 2024-12-01T00:00:00Z
date_updated: 2025-09-08T09:08:36Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10240-024-00150-0
external_id:
arxiv:
- '2211.03353'
isi:
- '001297785000001'
file:
- access_level: open_access
checksum: af3becc50f7534c9409d3ff8b5c47ed6
content_type: application/pdf
creator: dernst
date_created: 2025-01-13T08:13:42Z
date_updated: 2025-01-13T08:13:42Z
file_id: '18824'
file_name: 2024_PublicMathIHES_Brooks.pdf
file_size: 924342
relation: main_file
success: 1
file_date_updated: 2025-01-13T08:13:42Z
has_accepted_license: '1'
intvolume: ' 140'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 271-309
publication: Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
publication_identifier:
eissn:
- 1618-1913
issn:
- 0073-8301
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation
and effective mass'
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 140
year: '2024'
...
---
OA_place: repository
_id: '19550'
abstract:
- lang: eng
text: "We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band
superconductor the effect of inter-band coupling can only increase\r\nthe critical
temperature, irrespective of its attractive or repulsive nature\r\nand its strength.
Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the
dependence of the increase in critical temperature on the\r\ninter-band coupling
is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands,
or (2) quadratic, if there is only one dominating band."
article_processing_charge: No
arxiv: 1
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: Edwin
full_name: Langmann, Edwin
last_name: Langmann
- 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, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297
apa: Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors
have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297
chicago: Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band
Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297.
ieee: S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors
have enhanced critical temperatures,” arXiv. .
ista: Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. arXiv, 10.48550/arXiv.2409.17297.
mla: Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical
Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.
short: S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T11:43:58Z
date_published: 2024-10-21T00:00:00Z
date_updated: 2026-04-07T12:37:11Z
day: '21'
department:
- _id: LaEr
- _id: RoSe
doi: 10.48550/arXiv.2409.17297
external_id:
arxiv:
- '2409.17297'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2409.17297
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
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relation: dissertation_contains
status: public
status: public
title: Multi-band superconductors have enhanced critical temperatures
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...