Non-Markovian generalization of the Lindblad theory of open quantum systems

Details Non-Markovian generalization of the Lindblad theory of open quantum systems Non-Markovian generalization of the Lindblad theory of open quantum systems

2006-11-20

arxiv.org/abs/quant-ph/0611208v2

Phys. Rev. A 75, 022103 (2007)

Physics

Quantum Physics

10 pages, 1 figure, replaced by published version

Scientific paper

10.1103/PhysRevA.75.022103

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and from the theory of positive maps, we derive a class of correlated projection superoperators that take into account in an efficient way statistical correlations between the open system and its environment. The result is used to develop a generalization of the Lindblad theory to the regime of highly non-Markovian quantum processes in structured environments.

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