Quantum Brownian motion with large friction

被引:40
作者
Ankerhold, J [1 ]
Grabert, H
Pechukas, P
机构
[1] Univ Freiburg, Inst Phys, D-79104 Freiburg, Germany
[2] Ctr Etud Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France
[3] Columbia Univ, Dept Chem, New York, NY 10027 USA
基金
美国国家科学基金会;
关键词
D O I
10.1063/1.1855731
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Quantum Brownian motion in the strong friction limit is studied based on the exact path integral formulation of dissipative systems. In this limit the time-nonlocal reduced dynamics can be cast into an effective equation of motion, the quantum Smoluchowski equation. For strongly condensed phase environments it plays a similar role as master equations in the weak coupling range. Applications for chemical, mesoscopic, and soft matter systems are discussed and reveal the substantial role of quantum fluctuations. (C) 2005 American Institute of Physics.
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页数:10
相关论文
共 44 条
[1]   Quantum properties of atomic-sized conductors [J].
Agraït, N ;
Yeyati, AL ;
van Ruitenbeek, JM .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2003, 377 (2-3) :81-279
[2]   VOLTAGE DUE TO THERMAL NOISE IN DC JOSEPHSON EFFECT [J].
AMBEGAOKAR, V ;
HALPERIN, BI .
PHYSICAL REVIEW LETTERS, 1969, 22 (25) :1364-+
[3]   Overdamped quantum phase diffusion and charging effects in Josephson junctions [J].
Ankerhold, J .
EUROPHYSICS LETTERS, 2004, 67 (02) :280-286
[4]   Low temperature electron transfer in strongly condensed phase [J].
Ankerhold, J ;
Lehle, H .
JOURNAL OF CHEMICAL PHYSICS, 2004, 120 (03) :1436-1449
[5]   Strong friction limit in quantum mechanics: The quantum Smoluchowski equation [J].
Ankerhold, J ;
Pechukas, P ;
Grabert, H .
PHYSICAL REVIEW LETTERS, 2001, 87 (08) :86802-1
[6]   Phase space dynamics of overdamped quantum systems [J].
Ankerhold, J .
EUROPHYSICS LETTERS, 2003, 61 (03) :301-307
[7]  
[Anonymous], 2001, MACROSCOPIC QUANTUM
[8]  
BARONE A, 1982, HYS APPL JOSEPHSON E
[9]   Electron transfer - From isolated molecules to biomolecules [J].
Bixon, M ;
Jortner, J .
ELECTRON TRANSFER-FROM ISOLATED MOLECULES TO BIOMOLECULES, PT 1, 1999, 106 :35-202
[10]  
Blum K., 2012, DENSITY MATRIX THEOR