Abstract
A well-known situation in which a non-Markovian dynamics of an open quantum system arises is when this is coherently coupled to an auxiliary system in contact with a Markovian bath. In such cases, while the joint dynamics of is Markovian and obeys a standard (bipartite) Lindblad-type master equation (ME), this is in general not true for the reduced dynamics of . Furthermore, there are several instances (e.g., the dissipative Jaynes-Cummings model) in which a closed ME for the 's state cannot even be worked out. Here, we find a class of bipartite Lindblad-type MEs such that the reduced ME of can be derived exactly and in a closed form for any initial product state of . We provide a detailed microscopic derivation of our result in terms of a mapping between two collision models.
- Received 4 March 2016
DOI:https://doi.org/10.1103/PhysRevA.93.052111
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