Dissipation in the Generalized Gibbs Ensemble
arXiv:1711.03855 · doi:10.1103/PhysRevA.97.042132
Abstract
In this work, we show that the dissipation in a many-body system under an arbitrary non-equilibrium process is related to the Rényi divergences between two states along the forward and reversed dynamics under very general family of initial conditions. This relation generalizes the links between dissipated work and Renyi divergences to quantum systems with conserved quantities whose equilibrium state is described by the generalized Gibbs ensemble. The relation is applicable for quantum systems with conserved quantities and can be applied to protocols driving the system between integrable and chaotic regimes. We demonstrate our ideas by considering the one-dimensional transverse quantum Ising model which is driven out of equilibrium by the instantaneous switching of the transverse magnetic field.
6 pages. arXiv admin note: text overlap with arXiv:1710.06059
References in corpus (20)
- Fluctuation theorems: Work is not an observable
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Quantum Quench in the Transverse Field Ising Chain
- Experimental Observation of a Generalized Gibbs Ensemble
- Dissipation: The phase-space perspective
- Quantum coherence, time-translation symmetry and thermodynamics
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Rare events and the convergence of exponentially averaged work values
- Generalized Clausius inequality for nonequilibrium quantum processes
- Experimental Free Energy Surface Reconstruction From Single-Molecule Force Spectroscopy Using Jarzynski's Equality
- Observation of Lee-Yang zeros
- Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Fluctuation theorems for continuously monitored quantum fluxes
- Quantum nonequilibrium equalities with absolute irreversibility
- Probing Yang-Lee Edge Singularity by Central Spin Decoherence
- Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
- Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence
- Links between Dissipation and Rényi Divergences in -Symmetric Quantum Mechanics
- Relations between Heat Exchange and Rényi Divergences