Local and nonlocal approximation for a simple quantum system

被引:18
作者
Palenberg, MA
Silbey, RJ
Warns, C
Reineker, P
机构
[1] MIT, Dept Chem, Cambridge, MA 02139 USA
[2] MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
[3] Univ Ulm, Theoret Phys Abt, D-89069 Ulm, Germany
关键词
D O I
10.1063/1.1330213
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We apply two commonly used approximation schemes to the problem of a symmetric dimer with dynamic diagonal disorder. Since the exact analytical solution for this simple dissipative quantum system is known, we are in position to test the range of validity and the quality of the approximations and to derive guidelines for the application of the approximations to more complex systems. (C) 2001 American Institute of Physics.
引用
收藏
页码:4386 / 4389
页数:4
相关论文
共 12 条
[1]   REDFIELD-LANGEVIN EQUATION FOR NUCLEAR SPIN RELAXATION [J].
ALBERS, J ;
DEUTCH, JM .
JOURNAL OF CHEMICAL PHYSICS, 1971, 55 (06) :2613-&
[2]   EXACT TREATMENT OF THE TRANSPORT OF A QUANTUM PARTICLE IN A DIMER UNDER THE INFLUENCE OF DICHOTOMIC COLORED NOISE [J].
KRAUS, V ;
REINEKER, P .
PHYSICAL REVIEW A, 1991, 43 (08) :4182-4191
[3]   STOCHASTIC LIOUVILLE EQUATIONS [J].
KUBO, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :174-&
[4]   DYNAMICS OF THE DISSIPATIVE 2-STATE SYSTEM [J].
LEGGETT, AJ ;
CHAKRAVARTY, S ;
DORSEY, AT ;
FISHER, MPA ;
GARG, A ;
ZWERGER, W .
REVIEWS OF MODERN PHYSICS, 1987, 59 (01) :1-85
[5]   STATISTICAL REDUCTION FOR STRONGLY DRIVEN SIMPLE QUANTUM SYSTEMS [J].
MUKAMEL, S ;
OPPENHEIM, I ;
ROSS, J .
PHYSICAL REVIEW A, 1978, 17 (06) :1988-1998
[6]  
PALENBERG MA, UNPUB
[7]   Cumulant expansions and the spin-boson problem [J].
Reichman, DR ;
Brown, FLH ;
Neu, P .
PHYSICAL REVIEW E, 1997, 55 (03) :2328-2337
[8]  
van Kampen N. G, 1997, STOCHASTIC PROCESSES
[9]   CUMULANT EXPANSION FOR STOCHASTIC LINEAR-DIFFERENTIAL EQUATIONS .1. [J].
VANKAMPEN, NG .
PHYSICA, 1974, 74 (02) :215-238
[10]   Energy transport and optical line shapes in dimers: Analytical description of the influence of colored noise [J].
Warns, C ;
Barvik, I ;
Reineker, P .
PHYSICAL REVIEW E, 1998, 57 (04) :3928-3936