---
_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: 2026-04-07T12:37:10Z
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
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-27T07:10:52Z
  date_updated: 2023-01-27T07:10:52Z
  file_id: '12410'
  file_name: 2022_JourMathPhysics_Henheik2.pdf
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  relation: main_file
  success: 1
file_date_updated: 2023-01-27T07:10:52Z
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'
...