Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum

• URL: http://arxiv.org/abs/2107.07697v3
• Date: Mon, 8 Aug 2022 04:30:49 GMT
• Title: Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
• Authors: Fei Liu
• Abstract summary: We investigate the derivation of a kinetic uncertainty relation (KUR) originally proposed in Markovian open quantum systems. We use a driven two-level quantum system to exemplify the quantum results.
• Score: 4.889554833050689
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: From the perspective of Markovian piecewise deterministic processes (PDPs), we investigate the derivation of a kinetic uncertainty relation (KUR), which was originally proposed in Markovian open quantum systems. First, stationary distributions of classical PDPs are explicitly constructed. Then, a tilting method is used to derive a rate functional of large deviations. Finally, based on an improved approximation scheme, we recover the KUR. These classical results are directly extended to the open quantum systems. We use a driven two-level quantum system to exemplify the quantum results.

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