Non-Markovian Dynamics of Spin Squeezing

TL;DR

This paper investigates how non-Markovian decoherence affects the dynamics of spin squeezing and multipartite entanglement in a system of independent spin-1/2 particles, revealing collapse and revival phenomena.

Contribution

It provides an analytical study of spin squeezing evolution under non-Markovian decoherence, highlighting the collapse and revival of entanglement.

Findings

Spin squeezing vanishes under Markovian decoherence.

Spin squeezing collapses and revives with non-Markovian decoherence.

Multipartite entanglement exhibits collapse and revival phenomena.

Abstract

We evaluate the spin squeezing dynamics of N independent spin-1/2 particles with exchange symmetry. Each spin interacts with its own reservoir, and the reservoirs are independently and identical. The spin squeezing parameter is analytically calculated with different kinds of decoherence. The spin squeezing property vanishes with evolution time under the Markovian decoherence. Whereas coupled to the non-Markovian decoherence channels, the spin squeezing property collapses and revives with time. As spin squeezing can be regarded as a witness of multipartite entanglement, thus our scheme shows the collapse and revival of multipartite entanglement under non-Markovian decoherence.