Quantum thermodynamics. Emergence of thermodynamic behavior within composite quantum systems
type: Item
instance of: scholarly article
title: Quantum thermodynamics. Emergence of thermodynamic behavior within composite quantum systems
zbMATH Open document ID: 1221.81002
DOI: 10.1007/978-3-540-70510-9
author: Jochen Gemmer
author: M. Michel
author: Günter Mahler
published in: Lecture Notes in Physics
publication date: 2009-05-27T00:00:00Z
review text: This book introduces into the emergent field of the application of thermodynamics to describe phenomena arising with open quantum systems which consist in one or few particles. The first edition appeared in 2004 [for a detailed review see Zbl 1090.80001]. In this 2nd edition, the main parts II, \textit{``Equilibrium''}, III, \textit{``Non-equilibrium''}, and IV, \textit{``Applications''}, have been revised and are partly rewritten for to improve the readability. A clue of this book is that ergodicity or mixing are replaced by a kind of typicality which is introduced and used as a basic concept to define equilibrium. To that end the vector field on \({\mathbb R}^{2N}\) determined by the Schrödinger equation w.r.t. an orthonormal basis of \({\mathbb C}^N\) together with its flow is considered in order to define accessible regions of states and typical sets of states from which typical pure states may picked up. This is a heuristic approach and the results derived show how it works well.
reviewed by: K.-E. Hellwig
Mathematics Subject Classification ID: 81-01
Mathematics Subject Classification ID: 81S22
Mathematics Subject Classification ID: 82B30
Mathematics Subject Classification ID: 82C35
Mathematics Subject Classification ID: 80A05
zbMATH DE Number: 5558490
zbMATH Keywords: open quantum systems
zbMATH Keywords: environment
zbMATH Keywords: thermodynamical principles
Wikidata QID: Q56113680
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-540-70510-9
OpenAlex ID: W4293262148
Recommended article: Quantum thermodynamics. Emergence of thermodynamic behavior within composite quantum systems. With foreword by Fritz Haake.
Recommended article: Emergent quantum mechanics as a thermal ensemble
Recommended article: Quantum thermodynamics: a dynamical viewpoint
Recommended article: Sub-quantum thermodynamics as a basis of emergent quantum mechanics
Recommended article: Q5698843
Recommended article: Q5021673
Recommended article: Quantum-thermodynamical description of discrete non-equilibrium systems
Recommended article: Quantum Thermodynamics
Recommended article: Quantum thermodynamics and canonical typicality
description: scientific article; zbMATH DE number 5558490