---
OA_place: publisher
OA_type: hybrid
_id: '19001'
abstract:
- lang: eng
  text: We consider two Hamiltonians that are close to each other, H1≈H2, and analyze
    the time-decay of the corresponding Loschmidt echo M(t):=|⟨ψ0,eitH2e−itH1ψ0⟩|2
    that expresses the effect of an imperfect time reversal on the initial state ψ0.
    Our model Hamiltonians are deformed Wigner matrices that do not share a common
    eigenbasis. The main tools for our results are two-resolvent laws for such H1
    and H2.
acknowledgement: We thank Giorgio Cipolloni for helpful discussions in a closely related
  joint project. Open access funding provided by Institute of Science and Technology
  (IST Austria). All authors were supported by the ERC Advanced Grant “RMTBeyond”
  No. 101020331.
article_number: '14'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- 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: Oleksii
  full_name: Kolupaiev, Oleksii
  id: 149b70d4-896a-11ed-bdf8-8c63fd44ca61
  last_name: Kolupaiev
  orcid: 0000-0003-1491-4623
citation:
  ama: Erdös L, Henheik SJ, Kolupaiev O. Loschmidt echo for deformed Wigner matrices.
    <i>Letters in Mathematical Physics</i>. 2025;115. doi:<a href="https://doi.org/10.1007/s11005-025-01904-5">10.1007/s11005-025-01904-5</a>
  apa: Erdös, L., Henheik, S. J., &#38; Kolupaiev, O. (2025). Loschmidt echo for deformed
    Wigner matrices. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11005-025-01904-5">https://doi.org/10.1007/s11005-025-01904-5</a>
  chicago: Erdös, László, Sven Joscha Henheik, and Oleksii Kolupaiev. “Loschmidt Echo
    for Deformed Wigner Matrices.” <i>Letters in Mathematical Physics</i>. Springer
    Nature, 2025. <a href="https://doi.org/10.1007/s11005-025-01904-5">https://doi.org/10.1007/s11005-025-01904-5</a>.
  ieee: L. Erdös, S. J. Henheik, and O. Kolupaiev, “Loschmidt echo for deformed Wigner
    matrices,” <i>Letters in Mathematical Physics</i>, vol. 115. Springer Nature,
    2025.
  ista: Erdös L, Henheik SJ, Kolupaiev O. 2025. Loschmidt echo for deformed Wigner
    matrices. Letters in Mathematical Physics. 115, 14.
  mla: Erdös, László, et al. “Loschmidt Echo for Deformed Wigner Matrices.” <i>Letters
    in Mathematical Physics</i>, vol. 115, 14, Springer Nature, 2025, doi:<a href="https://doi.org/10.1007/s11005-025-01904-5">10.1007/s11005-025-01904-5</a>.
  short: L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115
    (2025).
corr_author: '1'
date_created: 2025-02-05T06:48:29Z
date_published: 2025-01-30T00:00:00Z
date_updated: 2026-04-07T12:37:10Z
day: '30'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1007/s11005-025-01904-5
ec_funded: 1
external_id:
  arxiv:
  - '2410.08108'
  isi:
  - '001409618800002'
  pmid:
  - '39896265'
file:
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  creator: dernst
  date_created: 2025-02-05T07:01:40Z
  date_updated: 2025-02-05T07:01:40Z
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intvolume: '       115'
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language:
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month: '01'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Letters in Mathematical Physics
publication_identifier:
  issn:
  - 1573-0530
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Loschmidt echo for deformed Wigner matrices
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: 115
year: '2025'
...