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Open Quantum Systems Decoherence

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

arXiv
Authors: Fei Liu

Year

2021

Paper ID

63179

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

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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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • From the perspective of Markovian piecewise deterministic processes (PDPs), we investigate the derivation of a kinetic uncertainty relation (KUR), which was originally proposed...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2107.07697 [2] arXiv https://arxiv.org/abs/2107.07697 [3] Publisher https://arxiv.org/abs/2107.07697

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