Perturbative treatment for stationary state of local master equation
arXiv:1709.03681 · doi:10.1088/0253-6102/70/1/38
Abstract
The local approach to construct master equation for a composite open system with a weak internal coupling is simple and seems reasonable. However, it is thermodynamic consistent only when the subsystems are resonantly coupled. Efforts are being made to understand the inconsistency and test the validity of the local master equation. We present a perturbative method to solve the steady-state solutions of linear local master equations, which are demonstrated by two simple models. The solving process shows the stationary state as the result of competition between incoherent operations and the unitary creating quantum coherence, and consequently relate quantum coherence with thermodynamic consistency.
5 pages, no fig
References in corpus (5)
- Markovian master equations for quantum thermal machines: local vs global approach
- Testing the validity of the local and global GKLS master equations on an exactly solvable model
- Performance bound for quantum absorption refrigerators
- Generalized Laws of Thermodynamics in the Presence of Correlations
- Finite quantum environments as thermostats: an analysis based on the Hilbert space average method