Entanglement dynamics in the Lipkin-Meshkov-Glick model

TL;DR

This paper investigates how entanglement evolves in the Lipkin-Meshkov-Glick model, revealing different dynamics for various initial states using semiclassical and frozen-spin approximations.

Contribution

It provides a detailed analysis of entanglement dynamics in the LMG model with novel semiclassical and frozen-spin methods for different initial states.

Findings

Entanglement dynamics vary significantly with initial states.

Semiclassical analysis effectively computes the one-tangle.

Frozen-spin approximation links concurrence to spin squeezing.

Abstract

The dynamics of the one-tangle and the concurrence is analyzed in the Lipkin-Meshkov-Glick model which describes many physical systems such as the two-mode Bose-Einstein condensates. We consider two different initial states which are physically relevant and show that their entanglement dynamics are very different. A semiclassical analysis is used to compute the one-tangle which measures the entanglement of one spin with all the others, whereas the frozen-spin approximation allows us to compute the concurrence using its mapping onto the spin squeezing parameter.