Structure of completely positive quantum master equations with memory kernel

Details Structure of completely positive quantum master equations with memory kernel Structure of completely positive quantum master equations with memory kernel

2009-02-13

arxiv.org/abs/0902.2318v1

Phys. Rev. E 79 (2009) 041147

Physics

Quantum Physics

13 pages, revtex, 2 figures

Scientific paper

10.1103/PhysRevE.79.041147

Semi-Markov processes represent a well known and widely used class of random processes in classical probability theory. Here, we develop an extension of this type of non-Markovian dynamics to the quantum regime. This extension is demonstrated to yield quantum master equations with memory kernels which allow the formulation of explicit conditions for the complete positivity of the corresponding quantum dynamical maps, thus leading to important insights into the structural characterization of the non-Markovian quantum dynamics of open systems. Explicit examples are analyzed in detail.

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