Entropy production and time-asymmetry in the presence of strong interactions

Abstract

It is known that the equilibrium properties of open classical systems that are strongly coupled to a heat bath are described by a set of thermodynamic potentials related to the system's Hamiltonian of mean force. By adapting this framework to a more general class of non-equilibrium states, we show that the equilibrium properties of the bath can be well-defined, even when the system is arbitrarily far from equilibrium and correlated with the bath. These states, which retain a notion of temperature, take the form of conditional equilibrium distributions. For out-of-equilibrium processes we show that the average entropy production quantifies the extent to which the system-bath state is driven away from the conditional equilibrium distribution. In addition, we show that the stochastic entropy production satisfies a generalised Crooks relation and can be used to quantify time-asymmetry of correlated non-equilibrium processes. These results naturally extend the familiar properties of entropy production in weakly-coupled systems to the strong coupling regime. Experimental measurements of the entropy production at strong coupling could be pursued using optomechanics or trapped ion systems, which allow strong coupling to be engineered.

8 pages, 1 figure, comments welcome

References in corpus (12)

• Dissipation: The phase-space perspective
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Measurement of Stochastic Entropy Production
• Fluctuation theorems in driven open quantum systems
• The length of time's arrow
• Specific heat anomalies of open quantum systems
• Stochastic thermodynamics in the strong coupling regime: An unambiguous approach based on coarse-graining
• Thermodynamics of a subensemble of a canonical ensemble
• The "footprints'' of irreversibility
• Effective dissipation: breaking time-reversal symmetry in driven microscopic energy transmission

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