Heat conservation and fluctuations for open quantum systems in the Two-Time Measurement picture

Tristan Benoist 1 Annalisa Panati 2 Yan Pautrat 3
1 Information et Chaos Quantiques (LPT)
LPT - Laboratoire de Physique Théorique - IRSAMC
2 CPT - E8 Dynamique quantique et analyse spectrale
CPT - Centre de Physique Théorique - UMR 7332
Abstract : This work concerns the statistics of the Two-Time Measurement definition of heat variation in each thermal bath of a thermodynamic quantum system. We study the cumulant generating function of the heat flows in the thermodynamic and large-time limits. It is well-known that, if the system is time-reversal invariant, this cumulant generating function satisfies the celebrated Evans--Searles symmetry. We show in addition that, under appropriate ultraviolet regularity assumptions on the local interaction between the baths, it satisfies a translation-invariance property, as proposed in [Andrieux et al. New J. Phys. 2009]. We particularly fix some proofs of the latter article where the ultraviolet condition was not mentioned. We detail how these two symmetries lead respectively to fluctuation relations and a statistical refinement of heat conservation for isolated thermodynamic quantum systems. As in [Andrieux et al. New J. Phys. 2009], we recover the Fluctuation-Dissipation Theorem in the linear response theory, short of Green--Kubo relations. We illustrate the general theory on a number of canonical models.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01959361
Contributeur : Tristan Benoist <>
Soumis le : mardi 18 décembre 2018 - 16:32:21
Dernière modification le : mercredi 23 janvier 2019 - 14:39:26

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  • HAL Id : hal-01959361, version 1
  • ARXIV : 1810.09999

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Tristan Benoist, Annalisa Panati, Yan Pautrat. Heat conservation and fluctuations for open quantum systems in the Two-Time Measurement picture. 2018. 〈hal-01959361〉

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