A quantum analogue of the Jarzynski equality

被引:79
作者
Yukawa, S [1 ]
机构
[1] Univ Tokyo, Sch Engn, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan
关键词
quantum nonequilibrium dynamics; Jarzynski equality;
D O I
10.1143/JPSJ.69.2367
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A quantum analogue of the Jarzynski equality is constructed. This equality connects an ensemble average of exponentiated work with the Helmholtz free-energy difference in a nonequilibrium switching process subject to a thermal heat bath. To confirm its validity in a practical situation, we also investigate an open quantum system that is a spin 1/2 system with a scanning magnetic field interacting with a thermal heat bath. As a result: we find that the quantum analogue functions well.
引用
收藏
页码:2367 / 2370
页数:4
相关论文
共 10 条
[1]   Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences [J].
Crooks, GE .
PHYSICAL REVIEW E, 1999, 60 (03) :2721-2726
[2]   DYNAMICAL ENSEMBLES IN NONEQUILIBRIUM STATISTICAL-MECHANICS [J].
GALLAVOTTI, G ;
COHEN, EGD .
PHYSICAL REVIEW LETTERS, 1995, 74 (14) :2694-2697
[3]   DYNAMICAL ENSEMBLES IN STATIONARY STATES [J].
GALLAVOTTI, G ;
COHEN, EGD .
JOURNAL OF STATISTICAL PHYSICS, 1995, 80 (5-6) :931-970
[4]   Jarzynski equality for the transitions between nonequilibrium steady states [J].
Hatano, T .
PHYSICAL REVIEW E, 1999, 60 (05) :R5017-R5020
[5]   Nonequilibrium equality for free energy differences [J].
Jarzynski, C .
PHYSICAL REVIEW LETTERS, 1997, 78 (14) :2690-2693
[6]   Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach [J].
Jarzynski, C .
PHYSICAL REVIEW E, 1997, 56 (05) :5018-5035
[7]  
KUBO R, 1991, STAT PHYSICS, V2
[8]   Quantum ratchets [J].
Reimann, P ;
Grifoni, M ;
Hanggi, P .
PHYSICAL REVIEW LETTERS, 1997, 79 (01) :10-13
[9]   Dissipation enhanced asymmetric transport in quantum ratchets [J].
Tatara, G ;
Kikuchi, M ;
Yukawa, S ;
Matsukawa, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (04) :1090-1093
[10]   Quantum ratchets [J].
Yukawa, S ;
Kikuchi, M ;
Tatara, G ;
Matsukawa, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (10) :2953-2956