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Time inhomogeneous quantum dynamical maps.

ABSTRACT: We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes. It is shown that such dynamical maps satisfy time inhomogeneous memory kernel master equation which provides a generalization of the master equation involving the standard convolution. Time-local (time convolution-less) approach is discussed as well. Finally, the comparative analysis of traditional time homogeneous versus time inhomogeneous scenario is provided.

SUBMITTER: Chruscinski D

PROVIDER: S-EPMC9731978 | biostudies-literature | 2022 Dec

REPOSITORIES: biostudies-literature

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Time inhomogeneous quantum dynamical maps.

Chruściński Dariusz D

Scientific reports 20221208 1

We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes. It is shown that such dynamical maps satisfy time inhomogeneous memory kernel master equation which provides a generalization of the master equation involving the standard convolution. Time-local (time convolution-less) approach is discussed as well. Finally, the compar ...[more]

PMID: 36481815

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