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

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>21/10/2005
<mark>Journal</mark>Journal of Physics A: Mathematical and General
Issue number42
Volume38
Number of pages12
Pages (from-to)9251-9262
Publication StatusPublished
<mark>Original language</mark>English

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 behaviour can arise, such as for example power law and stretched exponential decays.

Bibliographic note

The final, definitive version of this article has been published in the Journal, Journal of Physics A 38 (42), 2005, © Institute of Physics