On the conundrum of deriving exact solutions from approximate master equations

Details On the conundrum of deriving exact solutions from approximate master equations On the conundrum of deriving exact solutions from approximate master equations

2007-07-26

arxiv.org/abs/0707.3938v2

Chem. Phys. 347, 243-249 (2008)

Physics

Quantum Physics

7 pages; revised version; to appear in Chem. Phys

Scientific paper

10.1016/j.chemphys.2007.09.003

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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