Quantum master equation for dephasing of a two-level system with an initial correlation

被引:28
作者
Ban, Masashi [1 ]
机构
[1] Ochanomizu Univ, Grad Sch Humanities & Sci, Bunkyo Ku, Tokyo 1128610, Japan
来源
PHYSICAL REVIEW A | 2009年 / 80卷 / 06期
关键词
PROJECTION OPERATOR-FORMALISM; DYNAMICS;
D O I
10.1103/PhysRevA.80.064103
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Exact quantum master equation is derived for dephasing of a two-level system, which is an homogeneous time-convolutionless equation even though there is an initial correlation between a two-level system and a thermal reservoir. The result is compared with the quantum master equation derived by means of the projection operator method. Furthermore, the effects of the initial correlation on the dephasing process are examined.
引用
收藏
页数:4
相关论文
共 11 条
[1]  
Breuer H.P., 2006, The Theory of Open Quantum Systems
[2]   TIME-CONVOLUTIONLESS PROJECTION OPERATOR FORMALISM FOR ELIMINATION OF FAST VARIABLES - APPLICATIONS TO BROWNIAN-MOTION [J].
CHATURVEDI, S ;
SHIBATA, F .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1979, 35 (03) :297-308
[3]   On the conundrum of deriving exact solutions from approximate master equations [J].
Doll, Roland ;
Zueco, David ;
Wubs, Martijn ;
Kohler, Sigmund ;
Haenggi, Peter .
CHEMICAL PHYSICS, 2008, 347 (1-3) :243-249
[4]  
Kubo R., 1985, Statistical Physics II: Nonequilibrium Statistical Mechanics
[5]  
LUCZKA J, 1990, PHYSICA A, V167, P919, DOI 10.1016/0378-4371(90)90299-8
[6]   Quantum computers and dissipation [J].
Palma, GM ;
Suominen, KA ;
Ekert, AK .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1946) :567-584
[7]   Combining projection superoperators and cumulant expansions in open quantum dynamics with initial correlations and fluctuating Hamiltonians and environments [J].
Royer, A .
PHYSICS LETTERS A, 2003, 315 (05) :335-351
[8]   Reduced dynamics with initial correlations, and time-dependent environment and Hamiltonians [J].
Royer, A .
PHYSICAL REVIEW LETTERS, 1996, 77 (16) :3272-3275
[9]   Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation [J].
Stelmachovic, P ;
Buzek, V .
PHYSICAL REVIEW A, 2001, 64 (06) :5
[10]   Unified projection operator formalism in nonequilibrium statistical mechanics [J].
Uchiyama, C ;
Shibata, F .
PHYSICAL REVIEW E, 1999, 60 (03) :2636-2650