Related papers: On the Lyapunov-Perron reducible Markovian Master Equation

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
Authors: Krzysztof Szczygielski
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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