Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: A simple proof
Hironobu Yoshida
Abstract
We present a simple proof of a sufficient condition for the uniqueness of nonequilibrium steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations. We demonstrate the applications of the sufficient condition using examples of the transverse-field Ising model, the $XYZ$ model, and the tight-binding model with dephasing.
Topics & Concepts
Simple (philosophy)UniquenessPhysicsMaster equationMathematical physicsClassical mechanicsMathematicsApplied mathematicsQuantum mechanicsMathematical analysisQuantumPhilosophyEpistemologyQuantum many-body systemsQuantum chaos and dynamical systemsAdvanced Mathematical Physics Problems