Statistical Physics of Non Equilibrium Quantum Phenomena / by Yves Pomeau, Minh-Binh Tran.

Format:

Book

Author/Creator:

Pomeau, Yves., Author.

Tran, Minh-Binh., Author.

Series:

Lecture Notes in Physics, 0075-8450 ; 967

Language:

English

Subjects (All):

Statistical physics.

Differential equations, Partial.

Statistical Physics and Dynamical Systems.

Partial Differential Equations.

Local Subjects:

Statistical Physics and Dynamical Systems.

Partial Differential Equations.

Physical Description:

1 online resource (232 pages).

Edition:

1st ed. 2019.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2019.

Summary:

This book provides an introduction to topics in non-equilibrium 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 (non-quantum) 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.

Contents:

Part I Statistical Physics of the Interaction of a Single Atom or Ion with Radiation

Introduction

The Kolmogorov Equation for a Two-Level System

The Statistical Theory of Shelving

Summary, Conclusion and Appendix of Part 1

Part II Statistical Physics of Dilute Bose Gases

Quantum Boltzmann Equations

Formation of Singularities

Hydrodynamic Approximations

Equilibrium Properties of a Dilute Bose Gas with Small Coupling at First Order

Mathematical Analysis of the Coupling Condensate -Thermal Cloud Systems. .

ISBN:

3-030-34394-4