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A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Department of Mathematics and Statistics McGill University; McGill University = Université McGill Montréal, Canada; CPT - E5 Physique statistique et systèmes complexes; Centre de Physique Théorique - UMR 7332 (CPT); Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS); Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS); Institut de Recherche Mathématique Avancée (IRMA); Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS); Institute for Theoretical Physics ETH Zürich (ITP); Department of Physics = Departement Physik ETH Zürich (D-PHYS); Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology Zürich (ETH Zürich)-Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology Zürich (ETH Zürich); ANR-17-CE40-0006,NONSTOPS,Systèmes stochastiques et ouverts hors équilibre(2017)
    • بيانات النشر:
      HAL CCSD
      Springer Verlag
    • الموضوع:
      2023
    • Collection:
      Université de Toulon: HAL
    • نبذة مختصرة :
      International audience ; We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. This system is assumed to be initially in thermal equilibrium, and we consider realizations of quasi-static processes in the adiabatic limit. By combining the Gibbs variational principle with the notion of quantum weak Gibbs states introduced in [Jak\v{s}i\'c, Pillet, Tauber, arXiv:2204.00440], we establish a number of general structural results regarding such realizations. In particular, we show that such a quasi-static process is incompatible with the property of approach to equilibrium studied in this previous work.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2204.02177; hal-03633713; https://hal.science/hal-03633713; https://hal.science/hal-03633713/document; https://hal.science/hal-03633713/file/Adiabatic_Paper-v12.pdf; ARXIV: 2204.02177
    • الرقم المعرف:
      10.1007/s00023-023-01282-5
    • الدخول الالكتروني :
      https://hal.science/hal-03633713
      https://hal.science/hal-03633713/document
      https://hal.science/hal-03633713/file/Adiabatic_Paper-v12.pdf
      https://doi.org/10.1007/s00023-023-01282-5
    • Rights:
      http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.FECD8D72