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UID:0-951@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20240402T110000
DTEND;TZID=Europe/Paris:20240402T120000
DTSTAMP:20240326T153223Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-ariane-soret-luxembourg/
SUMMARY:Séminaire du LPTMS : Ariane Soret (University of Luxembourg) - Sal
 le des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530 - 2 Avr 2
 4 11:00
DESCRIPTION:Symmetry shapes thermodynamics in macroscopic quantum systemsAr
 iane Soret (University of Luxembourg)Symmetries play a fundamental role in
  shaping physical theories\, from quantum mechanics to thermodynamics. Stu
 dying the entropic\, energetic\, or dynamic signatures of underlying symme
 tries in quantum systems is an active field of research\, from fundamental
  questions about entropy scalings\, ground state properties\, or thermaliz
 ation\, to the optimization of quantum computing or numerical simulation p
 rocedures\, and is gaining momentum due to rapid experimental advances\, p
 articularly in cold atoms [1]. In this work [2]\, we derive a systematic a
 pproach to the thermodynamics of quantum systems based on the underlying s
 ymmetry groups. We show that the entropy of a system can be described in t
 erms of group-theoretical quantities that are largely independent of the d
 etails of its density matrix. We apply our technique to generic N identica
 l interacting d-level quantum systems. Using permutation invariance\, we f
 ind that\, for large N\, the entropy displays a universal large deviation 
 behavior with a rate function s(x) that is completely independent of the m
 icroscopic details of the model\, but depends only on the size of the irre
 ducible representations of the permutation group. In turn\, the partition 
 function is shown to satisfy a large deviation principle with a free energ
 y f (x) = e(x) − \\beta^{−1}s(x) \, where e(x) is a rate function that
  only depends on the ground state energy of particular subspaces determine
 d by group representation theory. We demonstrate the power of our approach
  by applying it to the nontrivial task of describing phase transitions gov
 erned by the interplay of quantum and thermal fluctuations in the transver
 se-field Curie-Weiss model.[1] Masahito Ueda. Quantum equilibration\, ther
 malization and prethermalization in ultracold atoms. Nat. Rev. Phys.\, 2(1
 2):669\, 2020.[2] Vasco Cavina\, Ariane Soret\, Timur Aslyamov\, Krzysztof
  Ptaszynski\, and Massimiliano Esposito. Symmetry shapes thermodynamics of
  macroscopic quantum systems. arXiv:2402.04214\, 2024.
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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