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Open Quantum Systems Decoherence

On the conundrum of deriving exact solutions from approximate master equations

arXiv
Authors: Roland Doll, David Zueco, Martijn Wubs, Sigmund Kohler, Peter Hanggi

Year

2007

Paper ID

49552

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

Abstract

We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local master equation approach already in second order of the system-bath coupling strength. We reveal that this equivalence holds if the initial state of the bath can be mapped to a Gaussian phase-space distribution function. Moreover, we discuss the relation to the standard Bloch-Redfield approach.

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  • We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact...

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