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The status of the quantum dissipation-fluctuation relation and Langevin equation

John C. Taylor

I examine the arguments which have been given for quantum fluctuation–dissipation theorems. I distinguish between a weak form of the theorem, which is true under rather general conditions, and a strong form which requires a Langevin equation for its statement. I argue that the latter has not been reliably derived in general.

Jan 1, 20089 citations

The status of the quantum dissipation–fluctuation relation and the Langevin equation

John C Taylor

I examine the arguments which have been given for quantum fluctuation–dissipation theorems. I distinguish between a weak form of the theorem, which is true under rather general conditions, and a strong form which requires a Langevin equation for its statement. I argue that the latter has not been reliably derived in general.

arXiv:cond-mat/0606506Journal of Physics Condensed MatterFeb 23, 20078 citations

Short-time behavior of the correlation functions for the quantum Langevin equation

Raffaella Blasi, Saverio Pascazio

We analyze the quantum Langevin equation obtained for the Ford-Kac-Mazur and related models. We study an explicit expression for the correlation function of the noise, obtained by making use of the normal-ordered product of operators. Such an expression is divergence-free, does not require any frequency cutoff, and yields the classical (Markoffian) case in the limit of vanishing \ensuremath{\Elzxh}. We also bring to light and discuss two different regimes for the momentum autocorrelation. The high-temperature and weak-coupling limits are considered, and the latter is shown to be related to van Hove's ``${\ensuremath{\lambda}}^{2}$T'' limit. \textcopyright{} 1996 The American Physical Society.We analyze the quantum Langevin equation obtained for the Ford-Kac-Mazur and related models. We study an explicit expression for the correlation function of the noise, obtained by making use of the normal-ordered product of operators. Such an expression is divergence-free, does not require any frequency cutoff, and yields the classical (Markoffian) case in the limit of vanishing \ensuremath{\Elzxh}. We also bring to light and discuss two different regimes for the momentum autocorrelation. The high-temperature and weak-coupling limits are considered, and the latter is shown to be related to van Hove's ``${\ensuremath{\lambda}}^{2}$T'' limit. \textcopyright{} 1996 The American Physical Society.

Physical Review AApr 1, 199613 citations

Quantum Brownian motion with non-Gaussian noises: Fluctuation-dissipation relation and nonlinear Langevin equation

Hing-Tong Cho, B. L. Hu

Physical review. D/Physical review. D.Apr 15, 20260 citations

Description of Quantum Noise by a Langevin Equation

Horia I. Metiu, Gerd Schön

We derive an equation of motion for a fully observed classical system which is coupled to a quantum companion whose degrees of freedom are only partially observed. Our purpose is to discuss the nature of the quantum noise by using a generalization of the Langevin equation.

Physical Review LettersJul 2, 198443 citations

Quantum Noise and Quantum Langevin Equation

Wen Wan

The properties of quantum noise and Langevin equation are discussed. Comparisons between the quantum noise and Langevin eqution and the classic one are presented. A brief derivation for quantum Langevin equation is showed. The quantum noise comes from two ways, namely, the way as same as that of classic noise and the Heisenberg uncertainty.

Yuanzihe wuli pinglunJan 1, 20020 citations

Noise spectrum of the quantum Langevin equation

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Noise spectrum of the quantum Langevin equation

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