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

共 50 条

[31] QUANTUM STATISTICS OF COUPLED OSCILLATOR SYSTEMS
MOLLOW, BR
PHYSICAL REVIEW, 1967, 162 (05): : 1256 - +
[32] Locality and thermalization in closed quantum systems
Sirker, J.
Konstantinidis, N. P.
Andraschko, F.
Sedlmayr, N.
PHYSICAL REVIEW A, 2014, 89 (04):
[33] Quantized dynamics in closed quantum systems
Ziegler, K.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (20)
[34] Energy transport in closed quantum systems
Levin, G. A.
Jones, W. A.
Walczak, K.
Yerkes, K. L.
PHYSICAL REVIEW E, 2012, 85 (03):
[35] Quantum pumping and dissipation in closed systems
Cohen, D
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2005, 29 (1-2): : 308 - 319
[36] Classical and quantum pumping in closed systems
Cohen, D
SOLID STATE COMMUNICATIONS, 2005, 133 (09) : 583 - 588
[37] Measurement theory for closed quantum systems
Wouters, Michiel
7TH INTERNATIONAL WORKSHOP DICE2014 SPACETIME - MATTER - QUANTUM MECHANICS, 2015, 626
[38] Quantum corrections to fidelity decay in chaotic systems
Gutkin, Boris
Waltner, Daniel
Gutierrez, Martha
Kuipers, Jack
Richter, Klaus
PHYSICAL REVIEW E, 2010, 81 (03):
[39] QUANTUM CORRECTIONS TO THE THERMODYNAMICS OF NONLINEAR-SYSTEMS
GIACHETTI, R
TOGNETTI, V
PHYSICAL REVIEW B, 1986, 33 (11): : 7647 - 7658
[40] Radiative corrections and quantum gates in molecular systems
Reina, JH
Beausoleil, RG
Spiller, TP
Munro, WJ
PHYSICAL REVIEW LETTERS, 2004, 93 (25)

← 1 2 3 4 5 →