---
_id: '9225'
abstract:
- lang: eng
  text: "The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere,
    we provide a class of initial data for which the associated effective Hamiltonian\r\nhas
    a uniform spectral gap for all times. For such initial data, this allows us to
    extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations
    and their derivation\r\nfrom the Fröhlich model obtained in previous works to
    larger times."
acknowledgement: Funding from the European Union’s Horizon 2020 research and innovation
  programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the
  Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.
  Open Access funding provided by Institute of Science and Technology (IST Austria)
article_number: '19'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Dario
  full_name: Feliciangeli, Dario
  id: 41A639AA-F248-11E8-B48F-1D18A9856A87
  last_name: Feliciangeli
  orcid: 0000-0003-0754-8530
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap
    for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. 2021;111.
    doi:<a href="https://doi.org/10.1007/s11005-020-01350-5">10.1007/s11005-020-01350-5</a>
  apa: Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2021). Persistence
    of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical
    Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11005-020-01350-5">https://doi.org/10.1007/s11005-020-01350-5</a>
  chicago: Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer.
    “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in
    Mathematical Physics</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s11005-020-01350-5">https://doi.org/10.1007/s11005-020-01350-5</a>.
  ieee: D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the
    spectral gap for the Landau–Pekar equations,” <i>Letters in Mathematical Physics</i>,
    vol. 111. Springer Nature, 2021.
  ista: Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral
    gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.
  mla: Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar
    Equations.” <i>Letters in Mathematical Physics</i>, vol. 111, 19, Springer Nature,
    2021, doi:<a href="https://doi.org/10.1007/s11005-020-01350-5">10.1007/s11005-020-01350-5</a>.
  short: D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical
    Physics 111 (2021).
date_created: 2021-03-07T23:01:25Z
date_published: 2021-02-11T00:00:00Z
date_updated: 2023-09-07T13:30:11Z
day: '11'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-020-01350-5
ec_funded: 1
external_id:
  isi:
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language:
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month: '02'
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
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  name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
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publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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scopus_import: '1'
status: public
title: Persistence of the spectral gap for the Landau–Pekar equations
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type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 111
year: '2021'
...
---
_id: '9256'
abstract:
- lang: eng
  text: We consider the ferromagnetic quantum Heisenberg model in one dimension, for
    any spin S≥1/2. We give upper and lower bounds on the free energy, proving that
    at low temperature it is asymptotically equal to the one of an ideal Bose gas
    of magnons, as predicted by the spin-wave approximation. The trial state used
    in the upper bound yields an analogous estimate also in the case of two spatial
    dimensions, which is believed to be sharp at low temperature.
acknowledgement: "The work of MN was supported by the National Science Centre (NCN)
  Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research
  Council (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science
  and Technology (IST Austria)."
article_number: '31'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Marcin M
  full_name: Napiórkowski, Marcin M
  id: 4197AD04-F248-11E8-B48F-1D18A9856A87
  last_name: Napiórkowski
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg
    spin chain. <i>Letters in Mathematical Physics</i>. 2021;111(2). doi:<a href="https://doi.org/10.1007/s11005-021-01375-4">10.1007/s11005-021-01375-4</a>
  apa: Napiórkowski, M. M., &#38; Seiringer, R. (2021). Free energy asymptotics of
    the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s11005-021-01375-4">https://doi.org/10.1007/s11005-021-01375-4</a>
  chicago: Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics
    of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s11005-021-01375-4">https://doi.org/10.1007/s11005-021-01375-4</a>.
  ieee: M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum
    Heisenberg spin chain,” <i>Letters in Mathematical Physics</i>, vol. 111, no.
    2. Springer Nature, 2021.
  ista: Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum
    Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.
  mla: Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of
    the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>, vol.
    111, no. 2, 31, Springer Nature, 2021, doi:<a href="https://doi.org/10.1007/s11005-021-01375-4">10.1007/s11005-021-01375-4</a>.
  short: M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
date_created: 2021-03-21T23:01:19Z
date_published: 2021-03-09T00:00:00Z
date_updated: 2023-08-07T14:17:00Z
day: '09'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-021-01375-4
external_id:
  isi:
  - '000626837400001'
file:
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  checksum: 687fef1525789c0950de90468dd81604
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  date_created: 2021-03-22T11:01:09Z
  date_updated: 2021-03-22T11:01:09Z
  file_id: '9273'
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  file_size: 397962
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file_date_updated: 2021-03-22T11:01:09Z
has_accepted_license: '1'
intvolume: '       111'
isi: 1
issue: '2'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: Letters in Mathematical Physics
publication_identifier:
  eissn:
  - '15730530'
  issn:
  - '03779017'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Free energy asymptotics of the quantum Heisenberg spin chain
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: 111
year: '2021'
...
---
_id: '9333'
abstract:
- lang: eng
  text: We revise a previous result about the Fröhlich dynamics in the strong coupling
    limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter
    it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα,
    where φ0 is the electron ground state of the Pekar energy functional and ξα the
    associated coherent state of the phonons, can be approximated by a global phase
    for times small compared to α2. In the present note we prove that a similar approximation
    holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons
    that is generated by an operator proportional to α−2 and quadratic in creation
    and annihilation operators. Our result implies that the electron ground state
    remains close to its initial state for times of order α2, while the phonon fluctuations
    around the coherent state ξα can be described by a time-dependent Bogoliubov transformation.
acknowledgement: 'I thank Marcel Griesemer for many interesting discussions about
  the Fröhlich polaron and also for valuable comments on this manuscript. Helpful
  discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged.
  This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through
  the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems.
  Open Access funding enabled and organized by Projekt DEAL.'
article_number: '45'
article_processing_charge: No
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. A note on the Fröhlich dynamics in the strong coupling limit.
    <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href="https://doi.org/10.1007/s11005-021-01380-7">10.1007/s11005-021-01380-7</a>
  apa: Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling
    limit. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11005-021-01380-7">https://doi.org/10.1007/s11005-021-01380-7</a>
  chicago: Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong
    Coupling Limit.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021.
    <a href="https://doi.org/10.1007/s11005-021-01380-7">https://doi.org/10.1007/s11005-021-01380-7</a>.
  ieee: D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling
    limit,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.
  ista: Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling
    limit. Letters in Mathematical Physics. 111, 45.
  mla: Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong
    Coupling Limit.” <i>Letters in Mathematical Physics</i>, vol. 111, 45, Springer
    Nature, 2021, doi:<a href="https://doi.org/10.1007/s11005-021-01380-7">10.1007/s11005-021-01380-7</a>.
  short: D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).
date_created: 2021-04-18T22:01:41Z
date_published: 2021-04-05T00:00:00Z
date_updated: 2023-08-08T13:09:28Z
day: '05'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-021-01380-7
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  - '000637359300002'
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month: '04'
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publication: Letters in Mathematical Physics
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publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on the Fröhlich dynamics in the strong coupling limit
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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: 111
year: '2021'
...
---
_id: '1198'
abstract:
- lang: eng
  text: We consider a model of fermions interacting via point interactions, defined
    via a certain weighted Dirichlet form. While for two particles the interaction
    corresponds to infinite scattering length, the presence of further particles effectively
    decreases the interaction strength. We show that the model becomes trivial in
    the thermodynamic limit, in the sense that the free energy density at any given
    particle density and temperature agrees with the corresponding expression for
    non-interacting particles.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
  (IST Austria). '
article_processing_charge: Yes (via OA deal)
author:
- first_name: Thomas
  full_name: Moser, Thomas
  id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
  last_name: Moser
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Moser T, Seiringer R. Triviality of a model of particles with point interactions
    in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. 2017;107(3):533-552.
    doi:<a href="https://doi.org/10.1007/s11005-016-0915-x">10.1007/s11005-016-0915-x</a>
  apa: Moser, T., &#38; Seiringer, R. (2017). Triviality of a model of particles with
    point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s11005-016-0915-x">https://doi.org/10.1007/s11005-016-0915-x</a>
  chicago: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles
    with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical
    Physics</i>. Springer, 2017. <a href="https://doi.org/10.1007/s11005-016-0915-x">https://doi.org/10.1007/s11005-016-0915-x</a>.
  ieee: T. Moser and R. Seiringer, “Triviality of a model of particles with point
    interactions in the thermodynamic limit,” <i>Letters in Mathematical Physics</i>,
    vol. 107, no. 3. Springer, pp. 533–552, 2017.
  ista: Moser T, Seiringer R. 2017. Triviality of a model of particles with point
    interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3),
    533–552.
  mla: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with
    Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>,
    vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:<a href="https://doi.org/10.1007/s11005-016-0915-x">10.1007/s11005-016-0915-x</a>.
  short: T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
date_created: 2018-12-11T11:50:40Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2023-09-20T11:18:13Z
day: '01'
ddc:
- '510'
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oa_version: Published Version
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project:
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  call_identifier: FWF
  grant_number: P27533_N27
  name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
  issn:
  - '03779017'
publication_status: published
publisher: Springer
publist_id: '6152'
pubrep_id: '723'
quality_controlled: '1'
related_material:
  record:
  - id: '52'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Triviality of a model of particles with point interactions in the thermodynamic
  limit
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
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...