Upper bound for quantum entropy production from entropy flux
arXiv:2203.14766 · doi:10.1103/PhysRevE.105.L042101
Abstract
Entropy production is a key quantity characterizing nonequilibrium systems. However, it can often be difficult to compute in practice, as it requires detailed information about the system and the dynamics it undergoes. This becomes even more difficult in the quantum domain, and if one is interested in generic nonequilibrium reservoirs, for which the standard thermal recipes no longer apply. In this paper, we derive an upper bound for the entropy production in terms of the entropy flux for a class of systems for which the flux is given in terms of a system's observable. Since currents are often easily accessible in this class of systems, this bound should prove useful for estimating the entropy production in a broad variety of processes. We illustrate the applicability of the bound by considering a three-level maser engine and a system interacting with a squeezed bath.
References in corpus (25)
- A nonequilibrium equality for free energy differences
- Quantifying Coherence
- Quantum Coherence as a Resource
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Dynamical ensembles in stationary states
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Quantum heat engines and refrigerators: Continuous devices
- Entropy production as correlation between system and reservoir
- Irreversible entropy production, from quantum to classical
- Reconciliation of quantum local master equations with thermodynamics
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Entropy production and thermodynamic power of the squeezed thermal reservoir
- Quantum thermal absorption machines: refrigerators, engines and clocks
- The role of quantum coherence in non-equilibrium entropy production
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Optimal work extraction and thermodynamics of quantum measurements and correlations
- Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
- The Wigner Entropy Production Rate
- The squeezed thermal reservoir as a generalized equilibrium reservoir
- Landauer's principle at zero temperature
- Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics
- Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine
- Clausius Inequality for Finite Baths Reveals Universal Efficiency Improvements
- Non-linear Onsager relations for Gaussian quantum maps