Time inhomogeneous quantum dynamical maps

• URL: http://arxiv.org/abs/2210.02770v2
• Date: Mon, 10 Oct 2022 18:11:46 GMT
• Title: Time inhomogeneous quantum dynamical maps
• Authors: Dariusz Chru\'sci\'nski
• Abstract summary: It is shown that such dynamical maps satisfy time inhomogeneous memory kernel master equation. Time-local (time convolution-less) approach is discussed as well.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 vs. time inhomogeneous scenario is provided.

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