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arXiv · 1804.00151

Quantum corrections of work statistics in closed quantum systems

Zhaoyu Fei·H. T. Quan·Fei Liu
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Abstract

We investigate quantum corrections to the classical work characteristic function (CF) as a semiclassical approximation to the full quantum work CF. In addition to explicitly establishing the quantum-classical correspondence of the Feynman-Kac formula, we find that these quantum corrections must be in even powers of $\hbar$. Exact formulas of the lowest corrections ($\hbar^2$) are proposed, and their physical origins are clarified. We calculate the work CFs for a forced harmonic oscillator and a forced quartic oscillator respectively to illustrate our results.

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Zhaoyu Fei, H. T. Quan, Fei Liu. 2018-07-16. Quantum corrections of work statistics in closed quantum systems. https://doi.org/10.1103/physreve.98.012132

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