Thermodynamics of the Coarse-Graining Master Equation

Abstract

We study the coarse-graining approach to derive a generator for the evolution of an open quantum system over a finite time interval. The approach does not require a secular approximation but nevertheless generally leads to a Lindblad-Gorini-Kossakowski-Sudarshan generator. By combining the formalism with Full Counting Statistics, we can demonstrate a consistent thermodynamic framework, once the switching work required for the coupling and decoupling with the reservoir is included. Particularly, we can write the second law in standard form, with the only difference that heat currents must be defined with respect to the reservoir. We exemplify our findings with simple but pedagogical examples.

special issue contribution "Energy, Entropy, and Information in Nano- and Quantum-Electronics" in Entropy

References in corpus (15)

• Thermodynamic uncertainty relation for biomolecular processes
• Assessing non-Markovian dynamics
• Markovian master equations for quantum thermal machines: local vs global approach
• Performance of a quantum heat engine at strong reservoir coupling
• Preservation of Positivity by Dynamical Coarse-Graining
• Staying positive: going beyond Lindblad with perturbative master equations
• Thermodynamics of Quantum Information Flows
• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• A phenomenological position and energy resolving Lindblad approach to quantum kinetics
• Quantum Otto cycle with inner friction: finite-time and disorder effects
• Systematic Perturbation Theory for Dynamical Coarse-Graining
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• Steady-state thermodynamics of non-interacting transport beyond weak coupling
• Finite-time quantum Otto engine: Surpassing the quasi-static efficiency due to friction
• Entropy production in open quantum systems: exactly solvable qubit models