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

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

25 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 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

Keywords

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

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10.1016/j.optcom.2006.02.061

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title = "Measurement master equation",

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.",

keywords = "continuous measurement, master equations, zeno effect, rabi oscillations, laser-atom interactions, magnetic resonance",

author = "Cresser, {James D.} and Barnett, {Stephen M.} and John Jeffers and Pegg, {David T.}",

year = "2006",

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T1 - Measurement master equation

AU - Cresser, James D.

AU - Barnett, Stephen M.

AU - Jeffers, John

AU - Pegg, David T.

PY - 2006/8/15

Y1 - 2006/8/15

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. (c) 2006 Elsevier B.V. All rights reserved.

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. (c) 2006 Elsevier B.V. All rights reserved.

KW - continuous measurement

KW - master equations

KW - zeno effect

KW - rabi oscillations

KW - laser-atom interactions

KW - magnetic resonance

U2 - 10.1016/j.optcom.2006.02.061

DO - 10.1016/j.optcom.2006.02.061

M3 - Article

SN - 0030-4018

VL - 264

SP - 352

EP - 361

JO - Optics Communications

JF - Optics Communications

IS - 2

ER -

Measurement master equation

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Keywords

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