Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction

Vojkan Jaksic (1) , Yoshiko Ogata (2) , Yan Pautrat (3) , Claude-Alain Pillet (4, 5, 6, 7)

1 Department of Mathematics and Statistics [Montréal]
2 Department of Mathematical Sciences
3 LM-Orsay - Laboratoire de Mathématiques d'Orsay
4 FRUMAM - Fédération de Recherche des Unités de MAthématiques de Marseille
5 CPT - E5 Physique statistique et systèmes complexes
6 CPT - Centre de Physique Théorique - UMR 6207
7 CPT - Centre de Physique Théorique - UMR 7332

These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.

Mots clés: Kubo formula; linear response; quantum hypothesis testing; entropy production; Onsager reciprocity relations; steady state; NESS; nonequilibrium statistical mechanics

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Vojkan Jaksic, Yoshiko Ogata, Yan Pautrat, Claude-Alain Pillet. Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction. Jürg Fröhlich, Manfred Salmhofer, Vieri Mastropietro, Wojciech De Roeck, and Leticia F. Cugliandolo. Quantum Theory from Small to Large Scales, Oxford University Press, pp.213--410, 2012, Lecture Notes of the Les Houches Summer School: Volume 95, 978-0-19-965249-5. ⟨hal-00601633⟩