Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate

TL;DR

This paper investigates a three-mode Bose-Einstein condensate in a symmetric triple well, analyzing entanglement, phase transitions, and squeezing through a purity measure related to the su(3) algebra, revealing quantum critical behavior.

Contribution

It introduces a subsystem-independent entanglement measure based on su(3) purity that signals quantum phase transitions and squeezing in a triple-well condensate.

Findings

Purity measure scales with atom number and indicates phase transition

Entanglement and squeezing are characterized via the su(3) algebra

Ground state squeezing correlates with entanglement dynamics

Abstract

We provide an in-depth characterization of a three modes Bose-Einstein condensate trapped in a symmetric circular triple well potential. We analyze how a subsystem independent measure of entanglement, the purity related to the su(3) algebra, scales for increasing number of atoms and signals correctly the quantum phase transition between two dynamical regimes in a specific arrangement. Moreover, this measure, which is intrinsically related to particle entanglement, also depicts if some squeezing is occurring when we consider the system's ground state.