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arXiv · 0805.0561

Non-Markovian dynamics for bipartite systems

Bassano Vacchini
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Abstract

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master equation, which we term quantum Bloch-Boltzmann equation, is derived, describing both motional and internal states of a test particle in a quantum framework. When due to the preparation of the system or to decoherence effects one of the two degrees of freedom is amenable to a classical treatment and not resolved in the final measurement, though relevant for the interaction with the reservoir, non-Markovian behaviors such as stretched exponential or power law decay of coherences can be put into evidence.

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Bassano Vacchini. 2008-08-26. Non-Markovian dynamics for bipartite systems. https://doi.org/10.1103/physreva.78.022112

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