Energy dissipation and fluctuation response in driven quantum Langevin dynamics

2008/04/30 by Keiji Saito · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Autocorrelation #Classical mechanics #Dissipation #Dynamics (music) #Energy (signal processing) #Langevin dynamics #Langevin equation #Mathematics #Non-equilibrium thermodynamics #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Statistical physics #Statistics #cond-mat.mes-hall #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1209/0295-5075/83/50006

published as EuroPhys Letters 83 50006 (2008) · 4 pages, 1 figure

openalex publication_date 2008/09/01 · arxiv created 2008/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Energy dissipation in a nonequilibrium steady state is studied in driven quantum Langevin systems. We study energy dissipation flow to thermal environment, and obtain a general formula for the average rate of energy dissipation using an autocorrelation function for the system variable. This leads to a general expression of the equality that connects the violation of the fluctuation-response relation to the rate of energy dissipation, the classical version of which was first studied by Harada and Sasa.

Citations

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Cited by

• Evaluation of optical probe signals from nonequilibrium systems

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• Fundamental aspects of quantum Brownian motion
• Full-order fluctuation-dissipation relation for a class of non-equilibrium steady states
• Quantum Langevin Dynamics
• Notes on a non-thermal fluctuation-dissipation relation in quantum Brownian motion
• Quantum fluctuation theorems and work-energy relationships with due regard for convergence, dissipation and irreversibility