# Persistent spin squeezing of dissipative Lipkin-Meshkov-Glick Model embedded in a general thermal environment

## TL;DR

This paper explores how non-Markovian environments influence spin squeezing in the dissipative Lipkin-Meshkov-Glick model at finite temperature, revealing conditions for enhanced squeezing due to environmental memory effects.

## Contribution

It introduces a numerical study of non-Markovian spin squeezing in the LMG model using quantum state diffusion and master equations, highlighting environmental factors that enhance squeezing.

## Key findings

- Longer environmental memory enhances maximum spin squeezing.
- Total spin number and temperature significantly affect squeezing.
- Non-Markovian effects can be harnessed to improve quantum metrology.

## Abstract

We investigate spin squeezing for a Lipkin-Meshkov-Glick (LMG) model coupled to a general non-Markovian environment in a finite temperature regime. Using the non-Markovian quantum state diffusion and master equation approach, we numerically study non-Markovian spin squeezing generation in LMG model. Our results show that the total spin number N, energy kBT, and certain coefficients in a LMG model can play a crucial role in generating spin squeezing. In particular, it shows that the maximum spin squeezing can be significantly enhanced when the participating environment has a relatively long memory time.