Entanglement and the Mott insulator - superfluid phase transition in bosonic atom chains

TL;DR

This paper investigates how bipartite and multipartite entanglement develop during the Mott insulator to superfluid phase transition in bosonic atom chains, providing exact expressions and insights into entanglement behavior.

Contribution

It derives an exact expression for entanglement signals in a fully connected bosonic system and analyzes their role in the phase transition, highlighting entanglement monogamy.

Findings

Entanglement signals the phase transition clearly.

Bipartite entanglement is monogamous during the transition.

Exact expressions for entanglement in the system are provided.

Abstract

We analyze the developing of bipartite and multipartite entanglement through the Mott-Insulator - Superfluid quantum phase transition. Starting from a Mott insulator state, where a filling factor $\nu = N/M = 1$ per lattice site is considered, we derive an exact expression for a completely connected graph configuration of bosons and show how bipartite and multipartite entanglement signals the phase transition predicted in previous works. Moreover, through the transition bipartite entanglement shows to be monogamous.