Hazards of reservoir memory

被引:110
作者
Barnett, SM [1 ]
Stenholm, S
机构
[1] Univ Strathclyde, Dept Phys & Appl Phys, Glasgow G4 0NG, Lanark, Scotland
[2] Royal Inst Technol, Dept Phys, SE-10044 Stockholm, Sweden
来源
PHYSICAL REVIEW A | 2001年 / 64卷 / 03期
关键词
D O I
10.1103/PhysRevA.64.033808
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We add memory effects to the master equation describing a harmonic oscillator embedded in a reservoir. Solving the time evolution exactly, we show that the model is sensible only in the Markovian limit. Thus we issue a warning against indiscriminate introduction of memory effects in master equations and call for a systematic method to obtain corrections to Markovian time evolution.
引用
收藏
页数:5
相关论文
共 30 条
[1]   QUANTUM BROWNIAN-MOTION AND ITS CLASSICAL LIMIT [J].
AMBEGAOKAR, V .
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1991, 95 (03) :400-404
[2]  
Barnett S., 1997, Methods of Theoretical Quantum Optics
[3]   Spectral decomposition of the Lindblad operator [J].
Barnett, SM ;
Stenholm, S .
JOURNAL OF MODERN OPTICS, 2000, 47 (14-15) :2869-2882
[4]   Dynamic noise reduction in multilevel lasers: Nonlinear theory and the pump-operator approach [J].
Briegel, HJ ;
Meyer, GM ;
Englert, BG .
PHYSICAL REVIEW A, 1996, 53 (02) :1143-1159
[5]   QUANTUM OPTICAL MASTER-EQUATIONS - THE USE OF DAMPING BASES [J].
BRIEGEL, HJ ;
ENGLERT, BG .
PHYSICAL REVIEW A, 1993, 47 (04) :3311-3329
[6]   Pump operator for lasers with multi-level excitation [J].
Briegel, HJ ;
Meyer, GM ;
Englert, BG .
EUROPHYSICS LETTERS, 1996, 33 (07) :515-520
[7]   MACROSCOPIC DYNAMICS OF A MASER WITH NON-POISSONIAN INJECTION STATISTICS [J].
BRIEGEL, HJ ;
ENGLERT, BG .
PHYSICAL REVIEW A, 1995, 52 (03) :2361-2375
[8]   ONE-ATOM MASER WITH A PERIODIC AND NOISY PUMP - AN APPLICATION OF DAMPING BASES [J].
BRIEGEL, HJ ;
ENGLERT, BG ;
GINZEL, C ;
SCHENZLE, A .
PHYSICAL REVIEW A, 1994, 49 (06) :5019-5041
[9]   PATH INTEGRAL APPROACH TO QUANTUM BROWNIAN-MOTION [J].
CALDEIRA, AO ;
LEGGETT, AJ .
PHYSICA A, 1983, 121 (03) :587-616
[10]   Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups [J].
Cipriani, F ;
Fagnola, F ;
Lindsay, JM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 210 (01) :85-105