Non-Markovian thermalisation of a two-level atom

J Salo, S M Barnett, S Stenhohn

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We consider thermalisation and spontaneous decay of a two-level atom beyond the Markovian approximation. While the standard elimination of the continuum of radiation modes results in exponential decay represented by a Lindblad equation of motion, we use a simple toy model that takes into account the finite relaxation rate of the environment and present an exact non-Markovian master equation of the Nakajima-Zwanzig form. Because the exact derivation of non-Markovian equations has proved very difficult for all more realistic (and hence much more complicated) models, we analyze the master equation obtained and also discuss difficulties that are likely to arise with non-Markovian evolution operators. (C) 2005 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)772-780
Number of pages9
JournalOptics Communications
Volume259
Issue number2
DOIs
Publication statusPublished - 15 Mar 2006

Keywords

  • open quantum systems
  • non-markovian master equations
  • dynamical semigroups
  • quantum physics
  • diffusion
  • cavity model

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