Measurement master equation

James D. Cresser, Stephen M. Barnett, John Jeffers, David T. Pegg

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We derive a master equation describing the evolution of a quantum system subjected to a sequence of observations. These measurements occur randomly at a given rate and can be of a very general form. As an example, we analyse the effects of these measurements on the evolution of a two-level atom driven by an electromagnetic field. For the associated quantum trajectories we find Rabi oscillations, Zeno-effect type behaviour and random telegraph evolution spawned by mini quantum jumps as we change the rates and strengths of measurement. (c) 2006 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)352-361
Number of pages10
JournalOptics Communications
Volume264
Issue number2
DOIs
Publication statusPublished - 15 Aug 2006

Fingerprint

Telegraph
Electromagnetic fields
electromagnetic fields
Trajectories
trajectories
Atoms
oscillations
atoms

Keywords

  • continuous measurement
  • master equations
  • zeno effect
  • rabi oscillations
  • laser-atom interactions
  • magnetic resonance

Cite this

Cresser, J. D., Barnett, S. M., Jeffers, J., & Pegg, D. T. (2006). Measurement master equation. Optics Communications, 264(2), 352-361. https://doi.org/10.1016/j.optcom.2006.02.061
Cresser, James D. ; Barnett, Stephen M. ; Jeffers, John ; Pegg, David T. / Measurement master equation. In: Optics Communications. 2006 ; Vol. 264, No. 2. pp. 352-361.
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Cresser, JD, Barnett, SM, Jeffers, J & Pegg, DT 2006, 'Measurement master equation', Optics Communications, vol. 264, no. 2, pp. 352-361. https://doi.org/10.1016/j.optcom.2006.02.061

Measurement master equation. / Cresser, James D.; Barnett, Stephen M.; Jeffers, John; Pegg, David T.

In: Optics Communications, Vol. 264, No. 2, 15.08.2006, p. 352-361.

Research output: Contribution to journalArticle

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AU - Jeffers, John

AU - Pegg, David T.

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KW - master equations

KW - zeno effect

KW - rabi oscillations

KW - laser-atom interactions

KW - magnetic resonance

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