This article is cited in 4 papers

Statistical approach to the Jaynes–Cummings model

N. N. Bogolyubov (Jr.)^a, M. Yu. Rasulova^bc, I. A. Tishabaev<sup>b

a</sup> Steklov Mathematical Institute, Russian Academy of Sciences
^b Institute of Nuclear Physics, Uzbekistan Academy of Sciences, Ulugbek, Tashkent, Uzbekistan
^c Malasian Institute of Microelectronic Systems, Kuala-Lumpur, Malaysia

Abstract: We study the dynamics of systems consisting of interacting two-level atoms and a field (microcavities). Such systems include the Jaynes–Cummings model. We formulate the problem and present a short history of it, derive a generalized kinetic equation for the system, find its solution, and show that this model allows describing photon emission and absorption.

Keywords: generalized kinetic equation, two-level atom, microcavity.

Received: 25.02.2011
Revised: 25.07.2011

DOI: 10.4213/tmf6890

 English version: Theoretical and Mathematical Physics, 2012, 171:1, 523–530

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