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

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

2004-12-02

arxiv.org/abs/quant-ph/0412020v2

J. Phys. A: Math. Gen. 38, 9251 (2005)

Physics

Quantum Physics

8 pages, extensively revised and expanded, changed title, to appear in J Phys A

Scientific paper

10.1088/0305-4470/38/42/006

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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