Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics

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. We also point out that the expression depends on coupling form between system and reservoir.

4 pages, 1 figure

References in corpus (20)

• A nonequilibrium equality for free energy differences
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Electron Counting Statistics and Coherent States of Electric Current
• Fluctuation theorems: Work is not an observable
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• An Extension of the Fluctuation Theorem
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Fluctuation theorem in quantum heat conduction
• The Einstein relation generalized to non-equilibrium
• Power and heat fluctuation theorems for electric circuits
• "Superconductor-Insulator transition" in a single Josephson junction
• Energy dissipation and violation of the fluctuation-response relation in non-equilibrium Langevin systems
• Experimental Test of a New Equality: Measuring Heat Dissipation in an Optically Driven Colloidal System

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• Open Quantum Dynamics Theory for Non-Equilibrium Work: Hierarchical Equations of Motion Approach
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• Heat transport through a two-level system under continuous quantum measurement
• Quantum critical phenomena in heat transport via a two-state system
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