Fundamental aspects of quantum Brownian motion

With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary nonequilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must hold for open, dissipative quantum systems in thermal equilib...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) Vol. 15; no. 2; p. 26105
Main Authors: Hänggi, Peter, Ingold, Gert-Ludwig
Format: Journal Article
Language:English
Published: United States 01.06.2005
Subjects:
Models, Statistical
Nonlinear Dynamics
Oscillometry
Physics - methods
Stochastic Processes
Thermodynamics
Time Factors
ISSN:1054-1500
Online Access:Get more information
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Summary:With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary nonequilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must hold for open, dissipative quantum systems in thermal equilibrium. The issue of quantum dissipation is exemplified with the fundamental problem of a damped harmonic quantum oscillator. The role of quantum fluctuations is discussed in the context of both, the nonlinear generalized quantum Langevin equation and the path integral approach. We discuss the consequences of the time-reversal symmetry for an open dissipative quantum dynamics and, furthermore, point to a series of subtleties and possible pitfalls. The path integral methodology is applied to the decay of metastable states assisted by quantum Brownian noise.
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ISSN:1054-1500
DOI:10.1063/1.1853631