Entanglement dynamics in random media

TL;DR

This paper investigates how random fluctuations in the light cone within disordered media affect entanglement dynamics between two atoms, showing that disorder can slow entanglement decay and potentially suppress decoherence.

Contribution

It introduces a model of entanglement evolution in disordered cavities with light-cone fluctuations, revealing the impact of disorder on entanglement lifetime.

Findings

Disorder slows down entanglement decay.

Strong disorder can nearly suppress quantum decoherence.

Entanglement lifetime can be significantly enhanced in disordered environments.

Abstract

We study how the entanglement dynamics between two-level atoms is impacted by random fluctuations of the light cone. In our model the two-atom system is envisaged as an open system coupled with an electromagnetic field in the vacuum state. We employ the quantum master equation in the Born-Markov approximation in order to describe the completely positive time evolution of the atomic system. We restrict our investigations to the situation in which the atoms are coupled individually to two spatially separated cavities, one of which displaying the emergence of light-cone fluctuations. In such a disordered cavity, we assume that the coefficients of the Klein-Gordon equation are random functions of the spatial coordinates. The disordered medium is modeled by a centered, stationary and Gaussian process. We demonstrate that disorder has the effect of slowing down the entanglement decay. We conjecture that in a strong disorder environment the mean life of entangled states can be enhanced in such a way as to almost completely suppress quantum nonlocal decoherence.