Robust asymptotic entanglement under multipartite collective dephasing

TL;DR

This paper derives an analytic solution for the collective dephasing dynamics of multiple atoms, identifying states with entanglement properties preserved under various fluctuating external fields.

Contribution

It provides a novel analytic Kraus map for collective dephasing, enabling identification of entangled states robust against environmental noise.

Findings

Analytic solution for ensemble-averaged collective dephasing dynamics.

Identification of state families with preserved entanglement.

Applicable to arbitrary spectral distributions of field fluctuations.

Abstract

We derive an analytic solution for the ensemble-averaged collective dephasing dynamics of $N$ noninteracting atoms in a fluctuating homogeneous external field. The obtained Kraus map is used to specify families of states whose entanglement properties are preserved at all times under arbitrary field orientations, even for states undergoing incoherent evolution. Our results apply to arbitrary spectral distributions of the field fluctuations.