---
res:
  bibo_abstract:
  - 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.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Sven Joscha
      foaf_name: Henheik, Sven Joscha
      foaf_surname: Henheik
      foaf_workInfoHomepage: http://www.librecat.org/personId=31d731d7-d235-11ea-ad11-b50331c8d7fb
    orcid: 0000-0003-1106-327X
  - foaf_Person:
      foaf_givenName: Stefan
      foaf_name: Teufel, Stefan
      foaf_surname: Teufel
  bibo_doi: 10.1063/5.0051632
  bibo_issue: '1'
  bibo_volume: 63
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000739446000009
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-2488
  - http://id.crossref.org/issn/1089-7658
  dct_language: eng
  dct_publisher: AIP Publishing@
  dct_subject:
  - mathematical physics
  - statistical and nonlinear physics
  dct_title: 'Adiabatic theorem in the thermodynamic limit: Systems with a uniform
    gap@'
...