Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems
Abstract
We derive a thermodynamically consistent quantum master equation that satisfies locality for quadratic systems coupled to independent and identical baths at each site. We show that the quasi-local Redfield equation coincides exactly with the Davies equation, which satisfies the detailed-balance condition, due to cancellation of quantum coherence generated by each bath. This derivation does not rely on the secular approximation, which fails in systems with vanishing energy-level spacings. We discuss generalizations of our result to slowly driven quadratic systems and generic quantum many-body systems. Our result paves the way to a thermodynamically consistent description of quantum many-body systems.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Spectroscopy and Quantum Chemical Studies
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Physical Review A
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 5
- Publication date
- 6 April 2026
- Language
- EN