---
OA_place: repository
OA_type: green
_id: '22292'
abstract:
- lang: eng
  text: We show that a suitable choice of boundary conditions for the Laplacian allows
    for the appearance of an arbitrary number of condensates, described by arbitrary
    harmonic functions, in the thermodynamic limit of an ideal Bose gas.
acknowledgement: We are grateful to Rupert Frank and Jakob Yngvason for helpful discussions
  and suggestions.
article_number: '061901'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Michiel
  full_name: De Wilde, Michiel
  id: bebf1407-6635-11f0-9fef-9b7e2dd151d0
  last_name: De Wilde
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: De Wilde M, Seiringer R. Arbitrary harmonic functions as Bose–Einstein condensates.
    <i>Journal of Mathematical Physics</i>. 2026;67(6). doi:<a href="https://doi.org/10.1063/5.0325354">10.1063/5.0325354</a>
  apa: De Wilde, M., &#38; Seiringer, R. (2026). Arbitrary harmonic functions as Bose–Einstein
    condensates. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0325354">https://doi.org/10.1063/5.0325354</a>
  chicago: De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions
    as Bose–Einstein Condensates.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2026. <a href="https://doi.org/10.1063/5.0325354">https://doi.org/10.1063/5.0325354</a>.
  ieee: M. De Wilde and R. Seiringer, “Arbitrary harmonic functions as Bose–Einstein
    condensates,” <i>Journal of Mathematical Physics</i>, vol. 67, no. 6. AIP Publishing,
    2026.
  ista: De Wilde M, Seiringer R. 2026. Arbitrary harmonic functions as Bose–Einstein
    condensates. Journal of Mathematical Physics. 67(6), 061901.
  mla: De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions as Bose–Einstein
    Condensates.” <i>Journal of Mathematical Physics</i>, vol. 67, no. 6, 061901,
    AIP Publishing, 2026, doi:<a href="https://doi.org/10.1063/5.0325354">10.1063/5.0325354</a>.
  short: M. De Wilde, R. Seiringer, Journal of Mathematical Physics 67 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: Data sharing is not applicable to this article as no new
  data were created or analyzed in this study.
date_created: 2026-07-13T09:45:09Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-07-13T12:20:59Z
day: '01'
department:
- _id: RoSe
- _id: GradSch
doi: 10.1063/5.0325354
external_id:
  arxiv:
  - '2601.22883'
fulldoi: https://doi.org/10.1063/5.0325354
intvolume: '        67'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2601.22883
month: '06'
oa: 1
oa_version: Preprint
publication: Journal of Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: not applicable
title: Arbitrary harmonic functions as Bose–Einstein condensates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2026'
...
---
_id: '17375'
abstract:
- lang: eng
  text: We consider the spectral radius of a large random matrix X with independent,
    identically distributed entries. We show that its typical size is given by a precise
    three-term asymptotics with an optimal error term beyond the radius of the celebrated
    circular law. The coefficients in this asymptotics are universal but they differ
    from a similar asymptotics recently proved for the rightmost eigenvalue of X in
    Cipolloni et al., Ann. Probab. 51(6), 2192–2242 (2023). To access the more complicated
    spectral radius, we need to establish a new decorrelation mechanism for the low-lying
    singular values of X − z for different complex shift parameters z using the Dyson
    Brownian Motion.
acknowledgement: L.E. and Y.X. were supported by the ERC Advanced Grant “RMTBeyond”
  Grant No. 101020331.
article_number: '063302'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Giorgio
  full_name: Cipolloni, Giorgio
  id: 42198EFA-F248-11E8-B48F-1D18A9856A87
  last_name: Cipolloni
  orcid: 0000-0002-4901-7992
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Yuanyuan
  full_name: Xu, Yuanyuan
  id: 7902bdb1-a2a4-11eb-a164-c9216f71aea3
  last_name: Xu
  orcid: 0000-0003-1559-1205
citation:
  ama: Cipolloni G, Erdös L, Xu Y. Precise asymptotics for the spectral radius of
    a large random matrix. <i>Journal of Mathematical Physics</i>. 2024;65(6). doi:<a
    href="https://doi.org/10.1063/5.0209705">10.1063/5.0209705</a>
  apa: Cipolloni, G., Erdös, L., &#38; Xu, Y. (2024). Precise asymptotics for the
    spectral radius of a large random matrix. <i>Journal of Mathematical Physics</i>.
    AIP Publishing. <a href="https://doi.org/10.1063/5.0209705">https://doi.org/10.1063/5.0209705</a>
  chicago: Cipolloni, Giorgio, László Erdös, and Yuanyuan Xu. “Precise Asymptotics
    for the Spectral Radius of a Large Random Matrix.” <i>Journal of Mathematical
    Physics</i>. AIP Publishing, 2024. <a href="https://doi.org/10.1063/5.0209705">https://doi.org/10.1063/5.0209705</a>.
  ieee: G. Cipolloni, L. Erdös, and Y. Xu, “Precise asymptotics for the spectral radius
    of a large random matrix,” <i>Journal of Mathematical Physics</i>, vol. 65, no.
    6. AIP Publishing, 2024.
  ista: Cipolloni G, Erdös L, Xu Y. 2024. Precise asymptotics for the spectral radius
    of a large random matrix. Journal of Mathematical Physics. 65(6), 063302.
  mla: Cipolloni, Giorgio, et al. “Precise Asymptotics for the Spectral Radius of
    a Large Random Matrix.” <i>Journal of Mathematical Physics</i>, vol. 65, no. 6,
    063302, AIP Publishing, 2024, doi:<a href="https://doi.org/10.1063/5.0209705">10.1063/5.0209705</a>.
  short: G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
corr_author: '1'
date_created: 2024-08-04T22:01:22Z
date_published: 2024-06-01T00:00:00Z
date_updated: 2025-09-08T08:44:57Z
day: '01'
department:
- _id: LaEr
doi: 10.1063/5.0209705
ec_funded: 1
external_id:
  arxiv:
  - '2210.15643'
  isi:
  - '001252240700002'
fulldoi: https://doi.org/10.1063/5.0209705
intvolume: '        65'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.15643
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Precise asymptotics for the spectral radius of a large random matrix
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 65
year: '2024'
...
---
_id: '14715'
abstract:
- lang: eng
  text: We consider N trapped bosons in the mean-field limit with coupling constant
    λN = 1/(N − 1). The ground state of such systems exhibits Bose–Einstein condensation.
    We prove that the probability of finding ℓ particles outside the condensate wave
    function decays exponentially in ℓ.
acknowledgement: We thank Lea Boßmann, Phan Thành Nam and Simone Rademacher for helpful
  remarks. P.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG,
  German Research Foundation) - Grant No. SFB/TRR 352 “Mathematics of Many-Body Quantum
  Systems and Their Collective Phenomena.”
article_number: '121901'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: David Johannes
  full_name: Mitrouskas, David Johannes
  id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
  last_name: Mitrouskas
- first_name: Peter
  full_name: Pickl, Peter
  last_name: Pickl
citation:
  ama: Mitrouskas DJ, Pickl P. Exponential decay of the number of excitations in the
    weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2023;64(12).
    doi:<a href="https://doi.org/10.1063/5.0172199">10.1063/5.0172199</a>
  apa: Mitrouskas, D. J., &#38; Pickl, P. (2023). Exponential decay of the number
    of excitations in the weakly interacting Bose gas. <i>Journal of Mathematical
    Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0172199">https://doi.org/10.1063/5.0172199</a>
  chicago: Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the
    Number of Excitations in the Weakly Interacting Bose Gas.” <i>Journal of Mathematical
    Physics</i>. AIP Publishing, 2023. <a href="https://doi.org/10.1063/5.0172199">https://doi.org/10.1063/5.0172199</a>.
  ieee: D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations
    in the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol.
    64, no. 12. AIP Publishing, 2023.
  ista: Mitrouskas DJ, Pickl P. 2023. Exponential decay of the number of excitations
    in the weakly interacting Bose gas. Journal of Mathematical Physics. 64(12), 121901.
  mla: Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number
    of Excitations in the Weakly Interacting Bose Gas.” <i>Journal of Mathematical
    Physics</i>, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:<a href="https://doi.org/10.1063/5.0172199">10.1063/5.0172199</a>.
  short: D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).
corr_author: '1'
date_created: 2023-12-31T23:01:02Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2025-09-09T14:05:28Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1063/5.0172199
external_id:
  arxiv:
  - '2307.11062'
  isi:
  - '001127432200002'
file:
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  checksum: 66572f718a36465576cf0d6b3f7e01fc
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  creator: dernst
  date_created: 2024-01-02T08:45:07Z
  date_updated: 2024-01-02T08:45:07Z
  file_id: '14722'
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  file_size: 4346922
  relation: main_file
  success: 1
file_date_updated: 2024-01-02T08:45:07Z
fulldoi: https://doi.org/10.1063/5.0172199
has_accepted_license: '1'
intvolume: '        64'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Exponential decay of the number of excitations in the weakly interacting Bose
  gas
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 64
year: '2023'
...
---
_id: '11783'
abstract:
- lang: eng
  text: We consider a gas of N bosons with interactions in the mean-field scaling
    regime. We review the proof of an asymptotic expansion of its low-energy spectrum,
    eigenstates, and dynamics, which provides corrections to Bogoliubov theory to
    all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer,
    and Soffer. In addition, we derive a full asymptotic expansion of the ground state
    one-body reduced density matrix.
acknowledgement: "The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert
  Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from
  the European Union’s Horizon 2020 Research and Innovation Programme under Marie
  Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged."
article_number: '061102'
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
citation:
  ama: Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose
    gas. <i>Journal of Mathematical Physics</i>. 2022;63(6). doi:<a href="https://doi.org/10.1063/5.0089983">10.1063/5.0089983</a>
  apa: Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting
    Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0089983">https://doi.org/10.1063/5.0089983</a>
  chicago: Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting
    Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href="https://doi.org/10.1063/5.0089983">https://doi.org/10.1063/5.0089983</a>.
  ieee: L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose
    gas,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6. AIP Publishing,
    2022.
  ista: Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting
    Bose gas. Journal of Mathematical Physics. 63(6), 061102.
  mla: Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting
    Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6, 061102, AIP
    Publishing, 2022, doi:<a href="https://doi.org/10.1063/5.0089983">10.1063/5.0089983</a>.
  short: L. Bossmann, Journal of Mathematical Physics 63 (2022).
corr_author: '1'
date_created: 2022-08-11T06:37:52Z
date_published: 2022-06-10T00:00:00Z
date_updated: 2025-04-14T07:43:58Z
day: '10'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1063/5.0089983
ec_funded: 1
external_id:
  arxiv:
  - '2203.00730'
  isi:
  - '000809648100002'
file:
- access_level: open_access
  checksum: d0d32c338c1896680174be88c70968fa
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  creator: dernst
  date_created: 2022-08-11T07:03:02Z
  date_updated: 2022-08-11T07:03:02Z
  file_id: '11784'
  file_name: 2022_JourMathPhysics_Bossmann.pdf
  file_size: 5957888
  relation: main_file
  success: 1
file_date_updated: 2022-08-11T07:03:02Z
fulldoi: https://doi.org/10.1063/5.0089983
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '6'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Journal of Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Low-energy spectrum and dynamics of the weakly interacting Bose gas
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '12083'
abstract:
- lang: eng
  text: We consider the many-body time evolution of weakly interacting bosons in the
    mean field regime for initial coherent states. We show that bounded k-particle
    operators, corresponding to dependent random variables, satisfy both a law of
    large numbers and a central limit theorem.
acknowledgement: S.R. would like to thank Robert Seiringer and Benedikt Stufler for
  helpful discussions. Funding from the European Union’s Horizon 2020 Research and
  Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the
  Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.
article_number: '081902'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
citation:
  ama: Rademacher SAE. Dependent random variables in quantum dynamics. <i>Journal
    of Mathematical Physics</i>. 2022;63(8). doi:<a href="https://doi.org/10.1063/5.0086712">10.1063/5.0086712</a>
  apa: Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics.
    <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0086712">https://doi.org/10.1063/5.0086712</a>
  chicago: Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum
    Dynamics.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href="https://doi.org/10.1063/5.0086712">https://doi.org/10.1063/5.0086712</a>.
  ieee: S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” <i>Journal
    of Mathematical Physics</i>, vol. 63, no. 8. AIP Publishing, 2022.
  ista: Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal
    of Mathematical Physics. 63(8), 081902.
  mla: Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.”
    <i>Journal of Mathematical Physics</i>, vol. 63, no. 8, 081902, AIP Publishing,
    2022, doi:<a href="https://doi.org/10.1063/5.0086712">10.1063/5.0086712</a>.
  short: S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).
corr_author: '1'
date_created: 2022-09-11T22:01:56Z
date_published: 2022-08-25T00:00:00Z
date_updated: 2025-04-14T07:26:59Z
day: '25'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1063/5.0086712
ec_funded: 1
external_id:
  arxiv:
  - '2112.04817'
  isi:
  - '000844402500001'
file:
- access_level: open_access
  checksum: e6fb0cf3f0327739c5e69a2cfc4020eb
  content_type: application/pdf
  creator: dernst
  date_created: 2022-09-12T07:35:34Z
  date_updated: 2022-09-12T07:35:34Z
  file_id: '12089'
  file_name: 2022_JourMathPhysics_Rademacher.pdf
  file_size: 4552261
  relation: main_file
  success: 1
file_date_updated: 2022-09-12T07:35:34Z
fulldoi: https://doi.org/10.1063/5.0086712
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '8'
language:
- iso: eng
month: '08'
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 Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dependent random variables in quantum dynamics
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '12110'
abstract:
- lang: eng
  text: A recently proposed approach for avoiding the ultraviolet divergence of Hamiltonians
    with particle creation is based on interior-boundary conditions (IBCs). The approach
    works well in the non-relativistic case, i.e., for the Laplacian operator. Here,
    we study how the approach can be applied to Dirac operators. While this has successfully
    been done already in one space dimension, and more generally for codimension-1
    boundaries, the situation of point sources in three dimensions corresponds to
    a codimension-3 boundary. One would expect that, for such a boundary, Dirac operators
    do not allow for boundary conditions because they are known not to allow for point
    interactions in 3D, which also correspond to a boundary condition. Indeed, we
    confirm this expectation here by proving that there is no self-adjoint operator
    on a (truncated) Fock space that would correspond to a Dirac operator with an
    IBC at configurations with a particle at the origin. However, we also present
    a positive result showing that there are self-adjoint operators with an IBC (on
    the boundary consisting of configurations with a particle at the origin) that
    are away from those configurations, given by a Dirac operator plus a sufficiently
    strong Coulomb potential.
acknowledgement: "J.H. gratefully acknowledges the partial financial support by the
  ERC Advanced Grant “RMTBeyond” under Grant No. 101020331.\r\n"
article_number: '122302'
article_processing_charge: No
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: Roderich
  full_name: Tumulka, Roderich
  last_name: Tumulka
citation:
  ama: Henheik SJ, Tumulka R. Interior-boundary conditions for the Dirac equation
    at point sources in three dimensions. <i>Journal of Mathematical Physics</i>.
    2022;63(12). doi:<a href="https://doi.org/10.1063/5.0104675">10.1063/5.0104675</a>
  apa: Henheik, S. J., &#38; Tumulka, R. (2022). Interior-boundary conditions for
    the Dirac equation at point sources in three dimensions. <i>Journal of Mathematical
    Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0104675">https://doi.org/10.1063/5.0104675</a>
  chicago: Henheik, Sven Joscha, and Roderich Tumulka. “Interior-Boundary Conditions
    for the Dirac Equation at Point Sources in Three Dimensions.” <i>Journal of Mathematical
    Physics</i>. AIP Publishing, 2022. <a href="https://doi.org/10.1063/5.0104675">https://doi.org/10.1063/5.0104675</a>.
  ieee: S. J. Henheik and R. Tumulka, “Interior-boundary conditions for the Dirac
    equation at point sources in three dimensions,” <i>Journal of Mathematical Physics</i>,
    vol. 63, no. 12. AIP Publishing, 2022.
  ista: Henheik SJ, Tumulka R. 2022. Interior-boundary conditions for the Dirac equation
    at point sources in three dimensions. Journal of Mathematical Physics. 63(12),
    122302.
  mla: Henheik, Sven Joscha, and Roderich Tumulka. “Interior-Boundary Conditions for
    the Dirac Equation at Point Sources in Three Dimensions.” <i>Journal of Mathematical
    Physics</i>, vol. 63, no. 12, 122302, AIP Publishing, 2022, doi:<a href="https://doi.org/10.1063/5.0104675">10.1063/5.0104675</a>.
  short: S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).
corr_author: '1'
date_created: 2023-01-08T23:00:53Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2025-04-14T07:57:18Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1063/5.0104675
ec_funded: 1
external_id:
  isi:
  - '000900748900002'
file:
- access_level: open_access
  checksum: 5150287295e0ce4f12462c990744d65d
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T11:58:59Z
  date_updated: 2023-01-20T11:58:59Z
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  file_size: 5436804
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T11:58:59Z
fulldoi: https://doi.org/10.1063/5.0104675
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
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 Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Interior-boundary conditions for the Dirac equation at point sources in three
  dimensions
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '12243'
abstract:
- lang: eng
  text: 'We consider the eigenvalues of a large dimensional real or complex Ginibre
    matrix in the region of the complex plane where their real parts reach their maximum
    value. This maximum follows the Gumbel distribution and that these extreme eigenvalues
    form a Poisson point process as the dimension asymptotically tends to infinity.
    In the complex case, these facts have already been established by Bender [Probab.
    Theory Relat. Fields 147, 241 (2010)] and in the real case by Akemann and Phillips
    [J. Stat. Phys. 155, 421 (2014)] even for the more general elliptic ensemble with
    a sophisticated saddle point analysis. The purpose of this article is to give
    a very short direct proof in the Ginibre case with an effective error term. Moreover,
    our estimates on the correlation kernel in this regime serve as a key input for
    accurately locating [Formula: see text] for any large matrix X with i.i.d. entries
    in the companion paper [G. Cipolloni et al., arXiv:2206.04448 (2022)]. '
acknowledgement: "The authors are grateful to G. Akemann for bringing Refs. 19 and
  24–26 to their attention. Discussions with Guillaume Dubach on a preliminary version
  of this project are acknowledged.\r\nL.E. and Y.X. were supported by the ERC Advanced
  Grant “RMTBeyond” under Grant No. 101020331. D.S. was supported by Dr. Max Rössler,
  the Walter Haefner Foundation, and the ETH Zürich Foundation."
article_number: '103303'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Giorgio
  full_name: Cipolloni, Giorgio
  id: 42198EFA-F248-11E8-B48F-1D18A9856A87
  last_name: Cipolloni
  orcid: 0000-0002-4901-7992
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Dominik J
  full_name: Schröder, Dominik J
  id: 408ED176-F248-11E8-B48F-1D18A9856A87
  last_name: Schröder
  orcid: 0000-0002-2904-1856
- first_name: Yuanyuan
  full_name: Xu, Yuanyuan
  id: 7902bdb1-a2a4-11eb-a164-c9216f71aea3
  last_name: Xu
  orcid: 0000-0003-1559-1205
citation:
  ama: Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for
    Ginibre eigenvalues. <i>Journal of Mathematical Physics</i>. 2022;63(10). doi:<a
    href="https://doi.org/10.1063/5.0104290">10.1063/5.0104290</a>
  apa: Cipolloni, G., Erdös, L., Schröder, D. J., &#38; Xu, Y. (2022). Directional
    extremal statistics for Ginibre eigenvalues. <i>Journal of Mathematical Physics</i>.
    AIP Publishing. <a href="https://doi.org/10.1063/5.0104290">https://doi.org/10.1063/5.0104290</a>
  chicago: Cipolloni, Giorgio, László Erdös, Dominik J Schröder, and Yuanyuan Xu.
    “Directional Extremal Statistics for Ginibre Eigenvalues.” <i>Journal of Mathematical
    Physics</i>. AIP Publishing, 2022. <a href="https://doi.org/10.1063/5.0104290">https://doi.org/10.1063/5.0104290</a>.
  ieee: G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “Directional extremal statistics
    for Ginibre eigenvalues,” <i>Journal of Mathematical Physics</i>, vol. 63, no.
    10. AIP Publishing, 2022.
  ista: Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2022. Directional extremal statistics
    for Ginibre eigenvalues. Journal of Mathematical Physics. 63(10), 103303.
  mla: Cipolloni, Giorgio, et al. “Directional Extremal Statistics for Ginibre Eigenvalues.”
    <i>Journal of Mathematical Physics</i>, vol. 63, no. 10, 103303, AIP Publishing,
    2022, doi:<a href="https://doi.org/10.1063/5.0104290">10.1063/5.0104290</a>.
  short: G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics
    63 (2022).
date_created: 2023-01-16T09:52:58Z
date_published: 2022-10-14T00:00:00Z
date_updated: 2025-04-14T07:57:18Z
day: '14'
ddc:
- '510'
- '530'
department:
- _id: LaEr
doi: 10.1063/5.0104290
ec_funded: 1
external_id:
  arxiv:
  - '2206.04443'
  isi:
  - '000869715800001'
file:
- access_level: open_access
  checksum: 2db278ae5b07f345a7e3fec1f92b5c33
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-30T08:01:10Z
  date_updated: 2023-01-30T08:01:10Z
  file_id: '12436'
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  file_size: 7356807
  relation: main_file
  success: 1
file_date_updated: 2023-01-30T08:01:10Z
fulldoi: https://doi.org/10.1063/5.0104290
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '10'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '10'
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 Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Directional extremal statistics for Ginibre eigenvalues
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: 63
year: '2022'
...
---
_id: '10600'
abstract:
- lang: eng
  text: We show that recent results on adiabatic theory for interacting gapped many-body
    systems on finite lattices remain valid in the thermodynamic limit. More precisely,
    we prove a generalized super-adiabatic theorem for the automorphism group describing
    the infinite volume dynamics on the quasi-local algebra of observables. The key
    assumption is the existence of a sequence of gapped finite volume Hamiltonians,
    which generates the same infinite volume dynamics in the thermodynamic limit.
    Our adiabatic theorem also holds for certain perturbations of gapped ground states
    that close the spectral gap (so it is also an adiabatic theorem for resonances
    and, in this sense, “generalized”), and it provides an adiabatic approximation
    to all orders in the adiabatic parameter (a property often called “super-adiabatic”).
    In addition to the existing results for finite lattices, we also perform a resummation
    of the adiabatic expansion and allow for observables that are not strictly local.
    Finally, as an application, we prove the validity of linear and higher order response
    theory for our class of perturbations for infinite systems. While we consider
    the result and its proof as new and interesting in itself, we also lay the foundation
    for the proof of an adiabatic theorem for systems with a gap only in the bulk,
    which will be presented in a follow-up article.
acknowledgement: J.H. acknowledges partial financial support from ERC Advanced Grant
  “RMTBeyond” No. 101020331.
article_number: '011901'
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: Stefan
  full_name: Teufel, Stefan
  last_name: Teufel
citation:
  ama: 'Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems
    with a uniform gap. <i>Journal of Mathematical Physics</i>. 2022;63(1). doi:<a
    href="https://doi.org/10.1063/5.0051632">10.1063/5.0051632</a>'
  apa: 'Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic
    limit: Systems with a uniform gap. <i>Journal of Mathematical Physics</i>. AIP
    Publishing. <a href="https://doi.org/10.1063/5.0051632">https://doi.org/10.1063/5.0051632</a>'
  chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
    Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>. AIP
    Publishing, 2022. <a href="https://doi.org/10.1063/5.0051632">https://doi.org/10.1063/5.0051632</a>.'
  ieee: 'S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit:
    Systems with a uniform gap,” <i>Journal of Mathematical Physics</i>, vol. 63,
    no. 1. AIP Publishing, 2022.'
  ista: 'Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit:
    Systems with a uniform gap. Journal of Mathematical Physics. 63(1), 011901.'
  mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
    Limit: Systems with a Uniform Gap.” <i>Journal of Mathematical Physics</i>, vol.
    63, no. 1, 011901, AIP Publishing, 2022, doi:<a href="https://doi.org/10.1063/5.0051632">10.1063/5.0051632</a>.'
  short: S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
date_created: 2022-01-03T12:19:48Z
date_published: 2022-01-03T00:00:00Z
date_updated: 2025-04-14T07:57:17Z
day: '03'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1063/5.0051632
ec_funded: 1
external_id:
  arxiv:
  - '2012.15238'
  isi:
  - '000739446000009'
fulldoi: https://doi.org/10.1063/5.0051632
intvolume: '        63'
isi: 1
issue: '1'
keyword:
- mathematical physics
- statistical and nonlinear physics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.15238
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '12184'
abstract:
- lang: eng
  text: We review recent results on adiabatic theory for ground states of extended
    gapped fermionic lattice systems under several different assumptions. More precisely,
    we present generalized super-adiabatic theorems for extended but finite and infinite
    systems, assuming either a uniform gap or a gap in the bulk above the unperturbed
    ground state. The goal of this Review is to provide an overview of these adiabatic
    theorems and briefly outline the main ideas and techniques required in their proofs.
acknowledgement: "It is a pleasure to thank Stefan Teufel for numerous interesting
  discussions, fruitful collaboration, and many helpful comments on an earlier version
  of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced
  Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges
  financial support from the DFG research unit FOR 5413 “Long-range interacting quantum
  spin systems out of equilibrium: Experiment, Theory and Mathematics.\" "
article_number: '121101'
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: Tom
  full_name: Wessel, Tom
  last_name: Wessel
citation:
  ama: Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems.
    <i>Journal of Mathematical Physics</i>. 2022;63(12). doi:<a href="https://doi.org/10.1063/5.0123441">10.1063/5.0123441</a>
  apa: Henheik, S. J., &#38; Wessel, T. (2022). On adiabatic theory for extended fermionic
    lattice systems. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0123441">https://doi.org/10.1063/5.0123441</a>
  chicago: Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended
    Fermionic Lattice Systems.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2022. <a href="https://doi.org/10.1063/5.0123441">https://doi.org/10.1063/5.0123441</a>.
  ieee: S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice
    systems,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12. AIP Publishing,
    2022.
  ista: Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice
    systems. Journal of Mathematical Physics. 63(12), 121101.
  mla: Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic
    Lattice Systems.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12, 121101,
    AIP Publishing, 2022, doi:<a href="https://doi.org/10.1063/5.0123441">10.1063/5.0123441</a>.
  short: S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
corr_author: '1'
date_created: 2023-01-15T23:00:52Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1063/5.0123441
ec_funded: 1
external_id:
  arxiv:
  - '2208.12220'
  isi:
  - '000905776200001'
file:
- access_level: open_access
  checksum: 213b93750080460718c050e4967cfdb4
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  date_created: 2023-01-27T07:10:52Z
  date_updated: 2023-01-27T07:10:52Z
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  relation: main_file
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file_date_updated: 2023-01-27T07:10:52Z
fulldoi: https://doi.org/10.1063/5.0123441
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
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 Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
  record:
  - id: '19540'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: On adiabatic theory for extended fermionic lattice 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '10176'
abstract:
- lang: eng
  text: "We give a combinatorial model for r-spin surfaces with parameterized boundary
    based on Novak (“Lattice topological field theories in two dimensions,” Ph.D.
    thesis, Universität Hamburg, 2015). The r-spin structure is encoded in terms of
    ℤ\U0001D45F-valued indices assigned to the edges of a polygonal decomposition.
    This combinatorial model is designed for our state-sum construction of two-dimensional
    topological field theories on r-spin surfaces. We show that an example of such
    a topological field theory computes the Arf-invariant of an r-spin surface as
    introduced by Randal-Williams [J. Topol. 7, 155 (2014)] and Geiges et al. [Osaka
    J. Math. 49, 449 (2012)]. This implies, in particular, that the r-spin Arf-invariant
    is constant on orbits of the mapping class group, providing an alternative proof
    of that fact."
acknowledgement: We would like to thank Nils Carqueville, Tobias Dyckerhoff, Jan Hesse,
  Ehud Meir, Sebastian Novak, Louis-Hadrien Robert, Nick Salter, Walker Stern, and
  Lukas Woike for helpful discussions and comments. L.S. was supported by the DFG
  Research Training Group 1670 “Mathematics Inspired by String Theory and Quantum
  Field Theory.”
article_number: '102302'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Ingo
  full_name: Runkel, Ingo
  last_name: Runkel
- first_name: Lorant
  full_name: Szegedy, Lorant
  id: 7943226E-220E-11EA-94C7-D59F3DDC885E
  last_name: Szegedy
  orcid: 0000-0003-2834-5054
citation:
  ama: Runkel I, Szegedy L. Topological field theory on r-spin surfaces and the Arf-invariant.
    <i>Journal of Mathematical Physics</i>. 2021;62(10). doi:<a href="https://doi.org/10.1063/5.0037826">10.1063/5.0037826</a>
  apa: Runkel, I., &#38; Szegedy, L. (2021). Topological field theory on r-spin surfaces
    and the Arf-invariant. <i>Journal of Mathematical Physics</i>. AIP Publishing.
    <a href="https://doi.org/10.1063/5.0037826">https://doi.org/10.1063/5.0037826</a>
  chicago: Runkel, Ingo, and Lorant Szegedy. “Topological Field Theory on R-Spin Surfaces
    and the Arf-Invariant.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2021. <a href="https://doi.org/10.1063/5.0037826">https://doi.org/10.1063/5.0037826</a>.
  ieee: I. Runkel and L. Szegedy, “Topological field theory on r-spin surfaces and
    the Arf-invariant,” <i>Journal of Mathematical Physics</i>, vol. 62, no. 10. AIP
    Publishing, 2021.
  ista: Runkel I, Szegedy L. 2021. Topological field theory on r-spin surfaces and
    the Arf-invariant. Journal of Mathematical Physics. 62(10), 102302.
  mla: Runkel, Ingo, and Lorant Szegedy. “Topological Field Theory on R-Spin Surfaces
    and the Arf-Invariant.” <i>Journal of Mathematical Physics</i>, vol. 62, no. 10,
    102302, AIP Publishing, 2021, doi:<a href="https://doi.org/10.1063/5.0037826">10.1063/5.0037826</a>.
  short: I. Runkel, L. Szegedy, Journal of Mathematical Physics 62 (2021).
corr_author: '1'
date_created: 2021-10-24T22:01:32Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2025-07-10T11:49:44Z
day: '01'
department:
- _id: MiLe
doi: 10.1063/5.0037826
external_id:
  arxiv:
  - '1802.09978'
  isi:
  - '000755638500010'
fulldoi: https://doi.org/10.1063/5.0037826
intvolume: '        62'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1802.09978
month: '10'
oa: 1
oa_version: Preprint
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Topological field theory on r-spin surfaces and the Arf-invariant
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 62
year: '2021'
...
---
_id: '9891'
abstract:
- lang: eng
  text: 'Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127
    (2019)], we present a modified “floating crystal” trial state for jellium (also
    known as the classical homogeneous electron gas) with density equal to a characteristic
    function. This allows us to show that three definitions of the jellium energy
    coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache
    [“Equality of the Jellium and uniform electron gas next-order asymptotic terms
    for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb,
    and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide
    in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized
    energy” studied in a series of papers by Serfaty and others, and thus, by the
    work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate
    the jellium energy to the order n term in the logarithmic energy of n points on
    the unit 2-sphere. We improve upon known lower bounds for this renormalized energy.
    Additionally, we derive formulas for the jellium energy of periodic configurations.'
acknowledgement: The author would like to thank Robert Seiringer for guidance and
  many helpful comments on this project. The author would also like to thank Mathieu
  Lewin for his comments on the manuscript and Lorenzo Portinale for providing his
  lecture notes for the course “Mathematics of quantum many-body systems” in spring
  2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these
  lecture notes.
article_number: '083305'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Asbjørn Bækgaard
  full_name: Lauritsen, Asbjørn Bækgaard
  id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
  last_name: Lauritsen
  orcid: 0000-0003-4476-2288
citation:
  ama: Lauritsen AB. Floating Wigner crystal and periodic jellium configurations.
    <i>Journal of Mathematical Physics</i>. 2021;62(8). doi:<a href="https://doi.org/10.1063/5.0053494">10.1063/5.0053494</a>
  apa: Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations.
    <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0053494">https://doi.org/10.1063/5.0053494</a>
  chicago: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
    Configurations.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2021.
    <a href="https://doi.org/10.1063/5.0053494">https://doi.org/10.1063/5.0053494</a>.
  ieee: A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,”
    <i>Journal of Mathematical Physics</i>, vol. 62, no. 8. AIP Publishing, 2021.
  ista: Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations.
    Journal of Mathematical Physics. 62(8), 083305.
  mla: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
    Configurations.” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8, 083305,
    AIP Publishing, 2021, doi:<a href="https://doi.org/10.1063/5.0053494">10.1063/5.0053494</a>.
  short: A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).
corr_author: '1'
date_created: 2021-08-12T07:08:36Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2024-10-09T21:00:48Z
day: '01'
ddc:
- '530'
department:
- _id: GradSch
- _id: RoSe
doi: 10.1063/5.0053494
external_id:
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  - '2103.07975'
  isi:
  - '000683960800003'
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isi: 1
issue: '8'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
  eissn:
  - 1089-7658
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Floating Wigner crystal and periodic jellium configurations
tmp:
  image: /images/cc_by.png
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  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2021'
...
---
_id: '8134'
abstract:
- lang: eng
  text: We prove an upper bound on the free energy of a two-dimensional homogeneous
    Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the
    free energy per unit volume differs from the one of the non-interacting system
    by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering
    length of the two-body interaction potential, ρ is the density, β is the inverse
    temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature
    for superfluidity. In combination with the corresponding matching lower bound
    proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality
    in the asymptotic expansion.
article_number: '061901'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Simon
  full_name: Mayer, Simon
  id: 30C4630A-F248-11E8-B48F-1D18A9856A87
  last_name: Mayer
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas.
    II. Upper bound. <i>Journal of Mathematical Physics</i>. 2020;61(6). doi:<a href="https://doi.org/10.1063/5.0005950">10.1063/5.0005950</a>
  apa: Mayer, S., &#38; Seiringer, R. (2020). The free energy of the two-dimensional
    dilute Bose gas. II. Upper bound. <i>Journal of Mathematical Physics</i>. AIP
    Publishing. <a href="https://doi.org/10.1063/5.0005950">https://doi.org/10.1063/5.0005950</a>
  chicago: Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional
    Dilute Bose Gas. II. Upper Bound.” <i>Journal of Mathematical Physics</i>. AIP
    Publishing, 2020. <a href="https://doi.org/10.1063/5.0005950">https://doi.org/10.1063/5.0005950</a>.
  ieee: S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute
    Bose gas. II. Upper bound,” <i>Journal of Mathematical Physics</i>, vol. 61, no.
    6. AIP Publishing, 2020.
  ista: Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute
    Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.
  mla: Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional
    Dilute Bose Gas. II. Upper Bound.” <i>Journal of Mathematical Physics</i>, vol.
    61, no. 6, 061901, AIP Publishing, 2020, doi:<a href="https://doi.org/10.1063/5.0005950">10.1063/5.0005950</a>.
  short: S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
corr_author: '1'
date_created: 2020-07-19T22:00:59Z
date_published: 2020-06-22T00:00:00Z
date_updated: 2025-07-10T11:55:05Z
day: '22'
department:
- _id: RoSe
doi: 10.1063/5.0005950
ec_funded: 1
external_id:
  arxiv:
  - '2002.08281'
  isi:
  - '000544595100001'
fulldoi: https://doi.org/10.1063/5.0005950
intvolume: '        61'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2002.08281
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The free energy of the two-dimensional dilute Bose gas. II. Upper bound
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2020'
...
---
_id: '8670'
abstract:
- lang: eng
  text: The α–z Rényi relative entropies are a two-parameter family of Rényi relative
    entropies that are quantum generalizations of the classical α-Rényi relative entropies.
    In the work [Adv. Math. 365, 107053 (2020)], we decided the full range of (α,
    z) for which the data processing inequality (DPI) is valid. In this paper, we
    give algebraic conditions for the equality in DPI. For the full range of parameters
    (α, z), we give necessary conditions and sufficient conditions. For most parameters,
    we give equivalent conditions. This generalizes and strengthens the results of
    Leditzky et al. [Lett. Math. Phys. 107, 61–80 (2017)].
acknowledgement: This research was supported by the European Union’s Horizon 2020
  research and innovation program under the Marie Skłodowska-Curie Grant Agreement
  No. 754411. The author would like to thank Anna Vershynina and Sarah Chehade for
  their helpful comments.
article_number: '102201'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Haonan
  full_name: Zhang, Haonan
  id: D8F41E38-9E66-11E9-A9E2-65C2E5697425
  last_name: Zhang
citation:
  ama: Zhang H. Equality conditions of data processing inequality for α-z Rényi relative
    entropies. <i>Journal of Mathematical Physics</i>. 2020;61(10). doi:<a href="https://doi.org/10.1063/5.0022787">10.1063/5.0022787</a>
  apa: Zhang, H. (2020). Equality conditions of data processing inequality for α-z
    Rényi relative entropies. <i>Journal of Mathematical Physics</i>. AIP Publishing.
    <a href="https://doi.org/10.1063/5.0022787">https://doi.org/10.1063/5.0022787</a>
  chicago: Zhang, Haonan. “Equality Conditions of Data Processing Inequality for α-z
    Rényi Relative Entropies.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2020. <a href="https://doi.org/10.1063/5.0022787">https://doi.org/10.1063/5.0022787</a>.
  ieee: H. Zhang, “Equality conditions of data processing inequality for α-z Rényi
    relative entropies,” <i>Journal of Mathematical Physics</i>, vol. 61, no. 10.
    AIP Publishing, 2020.
  ista: Zhang H. 2020. Equality conditions of data processing inequality for α-z Rényi
    relative entropies. Journal of Mathematical Physics. 61(10), 102201.
  mla: Zhang, Haonan. “Equality Conditions of Data Processing Inequality for α-z Rényi
    Relative Entropies.” <i>Journal of Mathematical Physics</i>, vol. 61, no. 10,
    102201, AIP Publishing, 2020, doi:<a href="https://doi.org/10.1063/5.0022787">10.1063/5.0022787</a>.
  short: H. Zhang, Journal of Mathematical Physics 61 (2020).
corr_author: '1'
date_created: 2020-10-18T22:01:36Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2025-07-10T11:57:14Z
day: '01'
department:
- _id: JaMa
doi: 10.1063/5.0022787
ec_funded: 1
external_id:
  arxiv:
  - '2007.06644'
  isi:
  - '000578529200001'
fulldoi: https://doi.org/10.1063/5.0022787
intvolume: '        61'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2007.06644
month: '10'
oa: 1
oa_version: Preprint
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Equality conditions of data processing inequality for α-z Rényi relative entropies
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2020'
...
---
_id: '7226'
article_number: '123504'
article_processing_charge: No
article_type: letter_note
author:
- first_name: Vojkan
  full_name: Jaksic, Vojkan
  last_name: Jaksic
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Jaksic V, Seiringer R. Introduction to the Special Collection: International
    Congress on Mathematical Physics (ICMP) 2018. <i>Journal of Mathematical Physics</i>.
    2019;60(12). doi:<a href="https://doi.org/10.1063/1.5138135">10.1063/1.5138135</a>'
  apa: 'Jaksic, V., &#38; Seiringer, R. (2019). Introduction to the Special Collection:
    International Congress on Mathematical Physics (ICMP) 2018. <i>Journal of Mathematical
    Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/1.5138135">https://doi.org/10.1063/1.5138135</a>'
  chicago: 'Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection:
    International Congress on Mathematical Physics (ICMP) 2018.” <i>Journal of Mathematical
    Physics</i>. AIP Publishing, 2019. <a href="https://doi.org/10.1063/1.5138135">https://doi.org/10.1063/1.5138135</a>.'
  ieee: 'V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International
    Congress on Mathematical Physics (ICMP) 2018,” <i>Journal of Mathematical Physics</i>,
    vol. 60, no. 12. AIP Publishing, 2019.'
  ista: 'Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International
    Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics.
    60(12), 123504.'
  mla: 'Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection:
    International Congress on Mathematical Physics (ICMP) 2018.” <i>Journal of Mathematical
    Physics</i>, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:<a href="https://doi.org/10.1063/1.5138135">10.1063/1.5138135</a>.'
  short: V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
date_created: 2020-01-05T23:00:46Z
date_published: 2019-12-01T00:00:00Z
date_updated: 2025-07-10T11:54:25Z
day: '01'
ddc:
- '500'
department:
- _id: RoSe
doi: 10.1063/1.5138135
external_id:
  isi:
  - '000505529800002'
file:
- access_level: open_access
  checksum: bbd12ad1999a9ad7ba4d3c6f2e579c22
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  creator: dernst
  date_created: 2020-01-07T14:59:13Z
  date_updated: 2020-07-14T12:47:54Z
  file_id: '7244'
  file_name: 2019_JournalMathPhysics_Jaksic.pdf
  file_size: 1025015
  relation: main_file
file_date_updated: 2020-07-14T12:47:54Z
fulldoi: https://doi.org/10.1063/1.5138135
has_accepted_license: '1'
intvolume: '        60'
isi: 1
issue: '12'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Introduction to the Special Collection: International Congress on Mathematical
  Physics (ICMP) 2018'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 60
year: '2019'
...
---
_id: '912'
abstract:
- lang: eng
  text: "We consider a many-body system of fermionic atoms interacting via a local
    pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer
    (BCS) theory. We measure the free energy of the whole sample with respect to the
    free energy of a reference state which allows us to define a BCS functional with
    boundary conditions at infinity. Our main result is a lower bound for this energy
    functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n"
article_number: '081901'
article_processing_charge: No
arxiv: 1
author:
- first_name: Andreas
  full_name: Deuchert, Andreas
  id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
  last_name: Deuchert
  orcid: 0000-0003-3146-6746
citation:
  ama: Deuchert A. A lower bound for the BCS functional with boundary conditions at
    infinity. <i>Journal of Mathematical Physics</i>. 2017;58(8). doi:<a href="https://doi.org/10.1063/1.4996580">10.1063/1.4996580</a>
  apa: Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions
    at infinity. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/1.4996580">https://doi.org/10.1063/1.4996580</a>
  chicago: Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary
    Conditions at Infinity.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2017. <a href="https://doi.org/10.1063/1.4996580">https://doi.org/10.1063/1.4996580</a>.
  ieee: A. Deuchert, “A lower bound for the BCS functional with boundary conditions
    at infinity,” <i>Journal of Mathematical Physics</i>, vol. 58, no. 8. AIP Publishing,
    2017.
  ista: Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions
    at infinity. Journal of Mathematical Physics. 58(8), 081901.
  mla: Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions
    at Infinity.” <i>Journal of Mathematical Physics</i>, vol. 58, no. 8, 081901,
    AIP Publishing, 2017, doi:<a href="https://doi.org/10.1063/1.4996580">10.1063/1.4996580</a>.
  short: A. Deuchert, Journal of Mathematical Physics 58 (2017).
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T11:49:10Z
date_published: 2017-08-01T00:00:00Z
date_updated: 2026-07-07T13:10:46Z
day: '01'
department:
- _id: RoSe
doi: 10.1063/1.4996580
ec_funded: 1
external_id:
  arxiv:
  - '1703.04616'
  isi:
  - '000409197200015'
fulldoi: https://doi.org/10.1063/1.4996580
intvolume: '        58'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1703.04616
month: '08'
oa: 1
oa_version: Submitted Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
publist_id: '6531'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A lower bound for the BCS functional with boundary conditions at infinity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2017'
...
---
_id: '2727'
abstract:
- lang: eng
  text: Diamagnetism of the magnetic Schrödinger operator and paramagnetism of the
    Pauli operator are rigorously proven for nonhomogeneous magnetic fields in the
    large field, in the large temperature and in the semiclassical asymptotic regimes.
    New counterexamples are presented which show that neither dia-nor paramagnetism
    is true in a robust sense (without asymptotics). In particular, we demonstrate
    that the recent diamagnetic comparison result by Loss and Thaller [M. Loss and
    B. Thaller, Commun. Math. Phys. (submitted)] is essentially the best one can hope
    for.
acknowledgement: This work was started in the stimulating environment and with the
  financial support of the PCMI Summer School on Probability Theory ~IAS Princeton,
  1996!. The author also expresses his gratitude to M. Loss and B. Thaller for explaining
  their paper to him.
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. Dia- and paramagnetism for nonhomogeneous magnetic fields. <i>Journal
    of Mathematical Physics</i>. 1997;38(3):1289-1317. doi:<a href="https://doi.org/10.1063/1.531909">10.1063/1.531909</a>
  apa: Erdös, L. (1997). Dia- and paramagnetism for nonhomogeneous magnetic fields.
    <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href="https://doi.org/10.1063/1.531909">https://doi.org/10.1063/1.531909</a>
  chicago: Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.”
    <i>Journal of Mathematical Physics</i>. American Institute of Physics, 1997. <a
    href="https://doi.org/10.1063/1.531909">https://doi.org/10.1063/1.531909</a>.
  ieee: L. Erdös, “Dia- and paramagnetism for nonhomogeneous magnetic fields,” <i>Journal
    of Mathematical Physics</i>, vol. 38, no. 3. American Institute of Physics, pp.
    1289–1317, 1997.
  ista: Erdös L. 1997. Dia- and paramagnetism for nonhomogeneous magnetic fields.
    Journal of Mathematical Physics. 38(3), 1289–1317.
  mla: Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.”
    <i>Journal of Mathematical Physics</i>, vol. 38, no. 3, American Institute of
    Physics, 1997, pp. 1289–317, doi:<a href="https://doi.org/10.1063/1.531909">10.1063/1.531909</a>.
  short: L. Erdös, Journal of Mathematical Physics 38 (1997) 1289–1317.
date_created: 2018-12-11T11:59:17Z
date_published: 1997-03-01T00:00:00Z
date_updated: 2022-08-22T09:48:50Z
day: '01'
doi: 10.1063/1.531909
extern: '1'
fulldoi: https://doi.org/10.1063/1.531909
intvolume: '        38'
issue: '3'
language:
- iso: eng
month: '03'
oa_version: None
page: 1289 - 1317
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: American Institute of Physics
publist_id: '4165'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dia- and paramagnetism for nonhomogeneous magnetic fields
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 38
year: '1997'
...