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Non-Markovian master equations from entanglement with stationary unobserved degrees of freedom

Adrian A. Budini·Henning Schomerus
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Abstract

We deduce a class of non-Markovian completely positive master equations which describe a system in a composite bipartite environment, consisting of a Markovian reservoir and additional stationary unobserved degrees of freedom that modulate the dissipative coupling. The entanglement-induced memory effects can persist for arbitrary long times and affect the relaxation to equilibrium, as well as induce corrections to the quantum-regression theorem. By considering the extra degrees of freedom as a discrete manifold of energy levels, strong non-exponential behavior can arise, as for example power law and stretched exponential decays.

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Adrian A. Budini, Henning Schomerus. 2005-09-22. Non-Markovian master equations from entanglement with stationary unobserved degrees of freedom. https://doi.org/10.1088/0305-4470%2F38%2F42%2F006

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