Open system model for quantum dynamical maps with classical noise and corresponding master equations

TL;DR

This paper derives a master equation for open quantum systems coupled to static environments, focusing on random unitary dynamics and exploring specific cases like commuting Hamiltonians, short-time limits, and Markovian behavior.

Contribution

It introduces a model for quantum dynamical maps with classical noise and derives corresponding master equations, extending understanding of open quantum system dynamics.

Findings

Random unitary dynamics from static environment coupling

Master equation derived for reduced system dynamics

Analysis of special cases like commuting Hamiltonians and Markov approximation

Abstract

We show how random unitary dynamics arise from the coupling of an open quantum system to a static environment. Subsequently, we derive a master equation for the reduced system random unitary dynamics and study three specific cases: commuting system and interaction Hamiltonians, the short-time limit, and the Markov approximation.