Statistical Physics of Non Equilibrium Quantum Phenomena
Authors: Pomeau, Yves, Tran, MinhBinh
Free Preview The first monograph to contain both the physics and mathematics of statistical quantum phenomena
 Contains the derivations of several kinetic models
 Describes the stateoftheart in some of the most important topics in the field
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 About this book

This book provides an introduction to topics in nonequilibrium quantum statistical physics for both mathematicians and theoretical physicists. The first part introduces a kinetic equation, of Kolmogorov type, which is needed to describe an isolated atom (actually, in experiments, an ion) under the effect of a classical pumping electromagnetic field which keeps the atom in its excited state(s) together with the random emission of fluorescence photons which put it back into its ground state. The quantum kinetic theory developed in the second part is an extension of Boltzmann's classical (nonquantum) kinetic theory of a dilute gas of quantum bosons. This is the source of many interesting fundamental questions, particularly because, if the temperature is low enough, such a gas is known to have at equilibrium a transition, the Bose–Einstein transition, where a finite portion of the particles stay in the quantum ground state. An important question considered is how a Bose gas condensate develops in time if its energy is initially low enough.
 About the authors

After studies at Ecole normale supérieure (ENS Paris), Yves Pomeau finished his PhD in Plasma Physics, at Université Paris 11 in 1970. He has been one of the leaders of statistical physics with many awards and prizes: Ricard Prize (highest prize) of the French Physical Society1985, Prize PerronnetBettancourt of the Government of Spain1993, Chevalier de la Legion d'Honneur (highest French order of merit)1991, corresponding member of L’Académie des Sciences Paris1987, member of L’Académie Catholique de France2018, Boltzmann Medal (highest distinction in statistical physics)2016. He was also one of the founders of the Laboratoire de Physique Statistique, ENS Paris.
MinhBinh Tran finished his PhD in mathematics at Université Paris 13 in 2011. His research is interdisciplinary, with focus on statistical physics, partial differential equations, kinetic theory, machine learning and high performance computing. He has written more than 30 research articles, in collaboration with mathematicians, physicists, chemists and engineers from renown research institutions in the US, Europe and Asia.
 Table of contents (10 chapters)


Introduction
Pages 36

The Kolmogorov Equation for a TwoLevel System
Pages 733

The Statistical Theory of Shelving
Pages 3539

Summary, Conclusion and Appendix of Part 1
Pages 4155

Introduction
Pages 5968

Table of contents (10 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Statistical Physics of Non Equilibrium Quantum Phenomena
 Authors

 Yves Pomeau
 MinhBinh Tran
 Series Title
 Lecture Notes in Physics
 Series Volume
 967
 Copyright
 2019
 Publisher
 Springer International Publishing
 Copyright Holder
 Springer Nature Switzerland AG
 eBook ISBN
 9783030343941
 DOI
 10.1007/9783030343941
 Softcover ISBN
 9783030343934
 Series ISSN
 00758450
 Edition Number
 1
 Number of Pages
 XV, 227
 Number of Illustrations
 5 b/w illustrations, 10 illustrations in colour
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