Cumulant expansions and the spin-boson problem

被引:31
作者
Reichman, DR
Brown, FLH
Neu, P
机构
[1] Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MD
来源
PHYSICAL REVIEW E | 1997年 / 55卷 / 03期
关键词
D O I
10.1103/PhysRevE.55.2328
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
The dynamics of the dissipative two-level system at zero temperature is studied using three different cumulant expansion techniques. The relative merits and drawbacks of each technique are discussed. It is found that the noncrossing cumulant expansion technique appears to embody the virtues of the more standard cumulant methods.
引用
收藏
页码:2328 / 2337
页数:10
相关论文
共 46 条
[1]   NON-MARKOVIAN RELAXATION OF A SPIN-1/2 PARTICLE IN A FLUCTUATING TRANSVERSE FIELD - CUMULANT EXPANSION AND STOCHASTIC SIMULATION RESULTS [J].
AIHARA, M ;
SEVIAN, HM ;
SKINNER, JL .
PHYSICAL REVIEW A, 1990, 41 (12) :6596-6601
[2]   SPIN-BOSON SYSTEMS - EQUIVALENCE BETWEEN THE DILUTE-BLIP AND THE BORN APPROXIMATIONS [J].
ASLANGUL, C ;
POTTIER, N ;
SAINTJAMES, D .
JOURNAL DE PHYSIQUE, 1986, 47 (10) :1657-1661
[3]   QUANTUM OHMIC DISSIPATION - COHERENCE VS INCOHERENCE AND SYMMETRY-BREAKING - A SIMPLE DYNAMIC-APPROACH [J].
ASLANGUL, C ;
POTTIER, N ;
SAINTJAMES, D .
JOURNAL DE PHYSIQUE, 1985, 46 (12) :2031-2045
[4]   ON THE RELATIONSHIP BETWEEN T1 AND T2 FOR STOCHASTIC RELAXATION MODELS [J].
BUDIMIR, J ;
SKINNER, JL .
JOURNAL OF STATISTICAL PHYSICS, 1987, 49 (5-6) :1029-1042
[5]   LOW-TEMPERATURE DYNAMICAL SIMULATION OF SPIN-BOSON SYSTEMS [J].
EGGER, R ;
MAK, CH .
PHYSICAL REVIEW B, 1994, 50 (20) :15210-15220
[6]  
Erdelyi A, 1955, HIGHER TRANSCENDENTA, V3
[7]  
ESAKI L, 1991, NATO ADV SCI I B-PHY, V285, P55
[8]  
FLEMING G, 1990, PHYS TODAY, V5, P36
[9]   CRITIQUE OF GENERALIZED CUMULANT EXPANSION METHOD [J].
FOX, RF .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (07) :1148-1153
[10]   PARASTOCHASTICS [J].
FRISCH, U ;
BOURRET, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (02) :364-&