Quantum corrections of work statistics in closed quantum systems

被引：16

作者：

Fei, Zhaoyu ^{[1
]}

Quan, H. T. ^{[1
]}

Liu, Fei ^{[2
]}

机构：

[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China

[2] Beihang Univ, Sch Phys & Nucl Energy Engn, Beijing 100191, Peoples R China

来源：

PHYSICAL REVIEW E | 2018年 / 98卷 / 01期

基金：

美国国家科学基金会;

关键词：

FLUCTUATION RELATIONS; STOCHASTIC DYNAMICS; DIFFUSION-PROCESSES; EQUALITY; EQUILIBRIUM; THEOREM;

D O I：

10.1103/PhysRevE.98.012132

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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 (h) over bar. Exact formulas of the lowest corrections ((h) over bar (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.

引用

页数：7

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