---
res:
  bibo_abstract:
  - Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized
    but otherwise arbitrary perturbations of weakly interacting quantum spin systems
    with uniformly gapped on-site terms change the ground state of such a system only
    locally, even if they close the spectral gap. We call this a strong version of
    the local perturbations perturb locally (LPPL) principle which is known to hold
    for much more general gapped systems, but only for perturbations that do not close
    the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle
    to Hamiltonians that have the appropriate structure of gapped on-site terms and
    weak interactions only locally in some region of space. While our results are
    technically corollaries to a theorem of Yarotsky, we expect that the paradigm
    of systems with a locally gapped ground state that is completely insensitive to
    the form of the Hamiltonian elsewhere extends to other situations and has important
    physical consequences.@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
  - foaf_Person:
      foaf_givenName: Tom
      foaf_name: Wessel, Tom
      foaf_surname: Wessel
  bibo_doi: 10.1007/s11005-021-01494-y
  bibo_issue: '1'
  bibo_volume: 112
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000744930400001
  dct_isPartOf:
  - http://id.crossref.org/issn/0377-9017
  - http://id.crossref.org/issn/1573-0530
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_subject:
  - mathematical physics
  - statistical and nonlinear physics
  dct_title: Local stability of ground states in locally gapped and weakly interacting
    quantum spin systems@
  fabio_hasPubmedId: '35125630'
...