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Frictional quantum decoherence

Bruno Bellomo1, Stephen M Barnett2 and John Jeffers2

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The dynamics associated with a measurement-based master equation for quantum Brownian motion are investigated. A scheme for obtaining time evolution from general initial conditions is derived. This is applied to analyse dissipation and decoherence in the evolution of both a Gaussian and a Schrödinger cat initial state. Dependence on the diffusive terms present in the master equation is discussed with reference to both the coordinate and momentum representations.


PACS

03.65.Yz Decoherence; open systems; quantum statistical methods

03.65.Ge Solutions of wave equations: bound states

05.40.Jc Brownian motion

MSC

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 31 (3 August 2007)

Received 26 April 2007, in final form 19 June 2007

Published 19 July 2007



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