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

摘要

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