Quantum work relations and response theory

被引：75

作者：

Andrieux, David ^{[1
]}

Gaspard, Pierre ^{[1
]}

机构：

[1] Univ Libre Brussels, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.100.230404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a functional of an arbitrary observable. The quantum Jarzynski equality is recovered in the case this observable vanishes. The Green-Kubo formula and the Casimir-Onsager reciprocity relations are deduced thereof in the linear response regime.

引用

页数：4

共 22 条

[1]

ANDRIEUX D, IN PRESS

[2]

[Anonymous], ARXIVCONDMAT0308337

[3]

BOCHKOV GN, 1977, ZH EKSP TEOR FIZ+, V72, P238

[4] ON ONSAGER PRINCIPLE OF MICROSCOPIC REVERSIBILITY [J].

CASIMIR, HBG .

REVIEWS OF MODERN PHYSICS, 1945, 17 (2-3) :343-350

[5] Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences [J].

Crooks, GE .

PHYSICAL REVIEW E, 1999, 60 (03) :2721-2726

[6] Quantum version of free-energy-irreversible-work relations [J].

De Roeck, W ;

Maes, C .

PHYSICAL REVIEW E, 2004, 69 (02) :026115-1

[7] Fluctuation theorems for quantum master equations [J].

Esposito, M ;

Mukamel, S .

PHYSICAL REVIEW E, 2006, 73 (04)

[8] Fluctuation theorem for counting statistics in electron transport through quantum junctions [J].

Esposito, Massimiliano ;

Harbola, Upendra ;

Mukamel, Shaul .

PHYSICAL REVIEW B, 2007, 75 (15)

[9] Entropy fluctuation theorems in driven open systems: Application to electron counting statistics [J].

Esposito, Massimiliano ;

Harbola, Upendra ;

Mukamel, Shaul .

PHYSICAL REVIEW E, 2007, 76 (03)

[10] MARKOFF RANDOM PROCESSES AND THE STATISTICAL MECHANICS OF TIME-DEPENDENT PHENOMENA [J].

GREEN, MS .

JOURNAL OF CHEMICAL PHYSICS, 1952, 20 (08) :1281-1295

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