On the Lyapunov-Perron reducible Markovian Master Equation

Abstract

We consider an open quantum system in $M_d(\mathbb{C})$ governed by quasiperiodic Hamiltonian with rationally independent frequencies and under assumption of Lyapunov-Perron reducibility of associated Schroedinger equation. We construct the Markovian Master Equation and resulting CP-divisible evolution in weak coupling limit regime, generalizing our previous results from periodic case. The analysis is conducted with application of projection operator techniques and concluded with some results regarding stability of solutions and existence of quasiperiodic global steady state.

Final version. 22 pages, no figures

References in corpus (2)

• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Laser-induced cooling of broadband heat reservoirs

Cited by in corpus (1)

• Eventually entanglement breaking divisible quantum dynamics