4.7 Article

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

Journal

PHYSICAL REVIEW E
Volume 89, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.89.042122

Keywords

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Funding

  1. National Science Foundation of China [11174025]

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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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