Global Phase Space of Coherence and Entanglement in a double-well BEC

TL;DR

This paper explores the global quantum dynamics of bosonic atoms in a double-well trap, linking phase space structures to entanglement and spin squeezing, with implications for quantum metrology and understanding decoherence.

Contribution

It reveals how the phase space structure of the mean-field system governs quantum dynamics and identifies conditions for entanglement and spin squeezing beyond classical approximations.

Findings

Phase space analysis elucidates quantum dynamics in double-well BECs.

Conditions for entanglement and spin squeezing are identified.

Quantum features emerge beyond mean-field classical descriptions.

Abstract

Ultracold atoms provide an ideal system for the realization of quantum technologies, but also for the study of fundamental physical questions such as the emergence of decoherence and classicality in quantum many-body systems. Here, we study the global structure of the quantum dynamics of bosonic atoms in a double-well trap and analyze the conditions for the generation of many-particle entanglement and spin squeezing which have important applications in quantum metrology. We show how the quantum dynamics is determined by the phase space structure of the associated mean-field system and where true quantum features arise beyond this `classical' approximation.