Fluctuation Relations for Heat Exchange in the Generalized Gibbs Ensemble

Abstract

In this work, we investigate the heat exchange between two quantum systems whose initial equilibrium states are described by the generalized Gibbs ensemble. First, we generalize the fluctuation relations for heat exchange discovered by Jarzynski and Wójcik to quantum systems prepared in the equilibrium states described by the generalized Gibbs ensemble at different generalized temperatures. Second, we extend the connections between heat exchange and Rényi divergences to quantum systems with very general initial conditions.These relations are applicable for quantum systems with conserved quantities and are universally valid for quantum systems in the integrable and chaotic regimes.

7 pages

References in corpus (13)

• Quantum Quench in the Transverse Field Ising Chain
• Generalized Gibbs ensemble in integrable lattice models
• Experimental Observation of a Generalized Gibbs Ensemble
• Observation of Lee-Yang zeros
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Detection of quantum critical points by a probe qubit
• Probing Yang-Lee Edge Singularity by Central Spin Decoherence
• Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence
• Links between Dissipation and Rényi Divergences in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Relations between Heat Exchange and Rényi Divergences
• Dissipation in the Generalized Gibbs Ensemble
• Demonstration of irreversibility and dissipation relation of thermodynamics with a superconducting qubit
• Thermodynamic holography