Coherent heat exchange in a prethermalizing open quantum system

Abstract

We investigate a simple model exhibiting a prethermal phase, i.e. a metastable state that emerges before full thermalization, through the framework of quantum stochastic thermodynamics. We explore the effects of quantum coherence in the energy eigenbasis of the initial state of the system on the process of heat exchange with a bath, and their contribution to entropy production as quantified by a heat-exchange fluctuation theorem. Such relation is derived using the End-Point Measurement (EPM) scheme, a protocol that accounts for initial quantum coherence in the statistics of energy exchanges resulting from a non-equilibrium process. We compare these results with those obtained from the widely used Two-Point Measurement (TPM) scheme which, by construction, fails to capture such quantum effects.

References in corpus (24)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Stochastic thermodynamics: Principles and perspectives
• Irreversible entropy production, from quantum to classical
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Classical and Quantum Fluctuation Theorems for Heat Exchange
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Prethermalization and thermalization in models with weak integrability breaking
• Prethermalization and universal dynamics in near-integrable quantum systems
• Pre-thermalization in a non-integrable quantum spin chain after a quench
• Quantum fluctuation theorems beyond two-point measurements
• Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
• Experimental characterization of the energetics of quantum logic gates
• Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit
• The role of quantum coherence in energy fluctuations
• The distribution function of entropy flow in stochastic systems
• Prethermalization from a low-density Holstein-Primakoff expansion
• Quantum work statistics with initial coherence
• Experimental signature of initial quantum coherence on entropy production
• Energetic fluctuations in an open quantum process
• Prethermalization of quantum systems interacting with non-equilibrium environments