Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems

Fei Liu

doi:10.1103/PhysRevE.89.042122

Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems

Fei Liu^*

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We present two kinds of Bochkov-Kuzovlev work equalities in a two-level system that is described by a quantum Markovian master equation. One is based on multiple time correlation functions and the other is based on the quantum trajectory viewpoint. We show that these two equalities are indeed equivalent. Importantly, this equivalence provides us a way to calculate the probability density function of the quantum work by solving the evolution equation for its characteristic function. We use a numerical model to verify these results.

Original language	English
Article number	042122
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	89
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.89.042122
State	Published - 14 Apr 2014

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abstract = "We present two kinds of Bochkov-Kuzovlev work equalities in a two-level system that is described by a quantum Markovian master equation. One is based on multiple time correlation functions and the other is based on the quantum trajectory viewpoint. We show that these two equalities are indeed equivalent. Importantly, this equivalence provides us a way to calculate the probability density function of the quantum work by solving the evolution equation for its characteristic function. We use a numerical model to verify these results.",

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AB - We present two kinds of Bochkov-Kuzovlev work equalities in a two-level system that is described by a quantum Markovian master equation. One is based on multiple time correlation functions and the other is based on the quantum trajectory viewpoint. We show that these two equalities are indeed equivalent. Importantly, this equivalence provides us a way to calculate the probability density function of the quantum work by solving the evolution equation for its characteristic function. We use a numerical model to verify these results.

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Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems

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