On the Lyapunov-Perron reducible Markovian Master Equation

• URL: http://arxiv.org/abs/2012.01877v3
• Date: Mon, 28 Feb 2022 13:28:52 GMT
• Title: On the Lyapunov-Perron reducible Markovian Master Equation
• Abstract summary: We consider an open quantum system in $M_d(mathbbC)$ governed by quasiperiodic Hamiltonian frequencies. We construct the Markovian Master Equation and resulting CP-divisible evolution in weak coupling limit regime.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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