Entanglement dynamics governed by time-dependent quantum generators

TL;DR

This paper studies how entanglement evolves in quantum systems with time-dependent generators, highlighting the role of non-Markovian effects and partial commutativity in describing entanglement dynamics.

Contribution

It introduces a framework for analyzing entanglement dynamics driven by time-dependent generators, including non-Markovian effects, using concurrence as a measure.

Findings

Partial commutativity allows precise subsystem dynamics description.

Non-Markovian effects enable entanglement restoration.

Efficient framework for quantum evolution of entangled states.

Abstract

In the article, we investigate entanglement dynamics defined by time-dependent linear generators. We consider multilevel quantum systems coupled to an environment that induces decoherence and dissipation, such that the relaxation rates depend on time. By applying the condition of partial commutativity, one can precisely describe the dynamics of selected subsystems. More specifically, we investigate the dynamics of entangled states. The concurrence is used to quantify the amount of two-qubit entanglement in the time domain. The framework appears an efficient tool for investigating quantum evolution of entangled states driven by time-local generators. In particular, non-Markovian effects can be included to observe the restoration of entanglement in time.