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arXiv · 2107.07697

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

Fei Liu
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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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BibTeXRIS

Fei Liu. 2021-07-16. Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum. https://doi.org/10.1088/1572-9494%2Fac28f8

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