Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras

Details Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras

2010-07-26

arxiv.org/abs/1007.4498v3

Phys. Rev. A 82, 042107 (2010)

Physics

Quantum Physics

7 pages, 5 eps figures; Discussion on recent characterizations of non-Markovianity included in this version

Scientific paper

10.1103/PhysRevA.82.042107

It is shown that the fidelity of the dynamically evolved system with its earlier time density matrix provides a signature of non-Markovian dynamics. Also, the fidelity associated with the initial state and the dynamically evolved state is shown to be larger in the non-Markovian evolution compared to that in the corresponding Markovian case. Starting from the Kraus representation of quantum evolution, the Markovian and non-Markovian features are discerned in its short time structure. These two features are in concordance with each other and they are illustrated with the help of four models of interaction of the system with its environment.

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