Measurement master equation

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

doi:10.1016/j.optcom.2006.02.061

Measurement master equation

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 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.

Original language	English
Pages (from-to)	352-361
Number of pages	10
Journal	Optics Communications
Volume	264
Issue number	2
DOIs	https://doi.org/10.1016/j.optcom.2006.02.061
Publication status	Published - 15 Aug 2006

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10.1016/j.optcom.2006.02.061

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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.",

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AU - Barnett, Stephen M.

AU - Jeffers, John

AU - Pegg, David T.

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N2 - 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.

AB - 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.

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DO - 10.1016/j.optcom.2006.02.061

M3 - Article

AN - SCOPUS:33746848108

SN - 0030-4018

VL - 264

SP - 352

EP - 361

JO - Optics Communications

JF - Optics Communications

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Measurement master equation

Abstract

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