Quantum regression theorem for non-Markovian Lindblad equations

Details Quantum regression theorem for non-Markovian Lindblad equations Quantum regression theorem for non-Markovian Lindblad equations

2006-01-20

arxiv.org/abs/quant-ph/0601140v2

J. Stat. Phys. 131, 51 (2008)

Physics

Quantum Physics

14 pages, 5 figures. Extended version. The GBMA is deduced from projector technique. A new appendix is added

Scientific paper

10.1007/s10955-007-9476-9

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov approximation, which allows us to obtain our results from an underlying Hamiltonian description. We demonstrate that a non-Markovian quantum regression theorem can only be granted in a stationary regime if the dynamics satisfies a quantum detailed balance condition. As an example we study the correlations of a two level system embedded in a complex structured reservoir and driven by an external coherent field.

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