Quantum Thermodynamics in the Refined Weak Coupling Limit
arXiv:1907.07743 · doi:10.3390/e21080725
Abstract
We present a thermodynamic framework for the refined weak coupling limit. In this limit the interaction between system and environment is weak, but not negligible. As a result, the system dynamics becomes non-Markovian breaking divisibility conditions. Nevertheless, we propose a derivation of the first and second law just in terms of the reduced system dynamics. To this end, we extend the refined weak coupling limit for allowing slowly-varying external drivings, and reconsider the definition of internal energy due to the non-negligible interaction.
Color figures, invited paper
References in corpus (13)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Markovian Master Equations: A Critical Study
- A Brief History of the GKLS Equation
- Preservation of Positivity by Dynamical Coarse-Graining
- Quantum thermodynamics of general quantum processes
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Correlations in quantum thermodynamics: Heat, work, and entropy production
- Thermodynamics of a subensemble of a canonical ensemble
- Entropy production and non-Markovian dynamical maps
- Fundamental limits on quantum dynamics based on entropy change
- Systematic Perturbation Theory for Dynamical Coarse-Graining
- Slipped non-Positive Reduced Dynamics and Entanglement
- Redfield reduced dynamics and entanglement
Cited by in corpus (12)
- Irreversible entropy production, from quantum to classical
- Strong Coupling Thermodynamics of Open Quantum Systems
- Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
- Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
- Corrections to the Hamiltonian induced by finite-strength coupling to the environment
- Coarse-graining master equation for periodically driven systems
- Irreversibility mitigation in unital non-Markovian quantum evolutions
- Intermediate Times Dilemma for Open Quantum System: Filtered Approximation to The Refined Weak Coupling Limit
- Thermodynamics of the Coarse-Graining Master Equation
- Quantum Thermal Amplifiers with Engineered Dissipation
- Making Non-Markovian master equations accessible with approximate environments
- Work and heat exchanged during sudden quenches of strongly coupled quantum systems