Non-Markovian thermalisation of a two-level atom

J Salo, S M Barnett, S Stenhohn

Research output: Contribution to journalArticle

15 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

Fingerprint

Atoms
Equations of motion
atoms
decay
Radiation
elimination
equations of motion
derivation
continuums
operators
radiation
approximation

Keywords

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

Cite this

Salo, J ; Barnett, S M ; Stenhohn, S . / Non-Markovian thermalisation of a two-level atom. In: Optics Communications. 2006 ; Vol. 259, No. 2. pp. 772-780.
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Salo, J, Barnett, SM & Stenhohn, S 2006, 'Non-Markovian thermalisation of a two-level atom', Optics Communications, vol. 259, no. 2, pp. 772-780. https://doi.org/10.1016/j.optcom.2005.09.057

Non-Markovian thermalisation of a two-level atom. / Salo, J ; Barnett, S M ; Stenhohn, S .

In: Optics Communications, Vol. 259, No. 2, 15.03.2006, p. 772-780.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Barnett, S M

AU - Stenhohn, S

PY - 2006/3/15

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N2 - 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.

AB - 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.

KW - open quantum systems

KW - non-markovian master equations

KW - dynamical semigroups

KW - quantum physics

KW - diffusion

KW - cavity model

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