1.

Record Nr.

UNISA996466817303316

Autore

Pomeau Yves

Titolo

Statistical Physics of Non Equilibrium Quantum Phenomena [[electronic resource] /] / by Yves Pomeau, Minh-Binh Tran

Pubbl/distr/stampa

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

ISBN

3-030-34394-4

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (232 pages)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 967

Disciplina

530.42

Soggetti

Statistical physics

Partial differential equations

Statistical Physics and Dynamical Systems

Partial Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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 -- Introduction -- 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. .

Sommario/riassunto

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.