Entanglement Evolution in a Non-Markovian Environment

TL;DR

This paper investigates how quantum entanglement between two spins evolves under non-Markovian classical noise, providing exact solutions and analyzing the impact of environmental memory effects on entanglement dynamics.

Contribution

It offers an exact analytical study of entanglement evolution in a non-Markovian environment, extending previous models to include classical Ornstein-Uhlenbeck noise.

Findings

Entanglement can be preserved or lost depending on noise parameters.

Non-Markovian noise introduces memory effects that influence entanglement dynamics.

The study provides explicit solutions for entanglement evolution under classical noise.

Abstract

We extend recent theoretical studies of entanglement dynamics in the presence of environmental noise, following the long-time interest of Krzysztof Wodkiewicz in the effects of stochastic models of noise on quantum optical coherences. We investigate the quantum entanglement dynamics of two spins in the presence of classical Ornstein-Uhlenbeck noise, obtaining exact solutions for evolution dynamics. We consider how entanglement can be affected by non-Markovian noise, and discuss several limiting cases.