Bose-Einstein condensates in a double well: mean-field chaos and multi-particle entanglement

TL;DR

This paper explores how mean-field chaos in Bose-Einstein condensates within a double well potential influences the rapid development of multi-particle entanglement, revealing conditions that favor entanglement generation.

Contribution

It extends previous work by investigating more general highly-entangled states and shows how chaos accelerates entanglement formation in BECs.

Findings

Mean-field chaos speeds up multi-particle entanglement emergence.

Stable boundary regions are optimal for entanglement generation.

Chaotic dynamics correlate with 'Schrodinger-cat' like superpositions.

Abstract

A recent publication [Phys. Rev. Lett. 100, 140408 (2008)] shows that there is a relation between mean-field chaos and multi-particle entanglement for BECs in a periodically shaken double well. 'Schrodinger-cat' like mesoscopic superpositions in phase-space occur for conditions for which the system displays mean-field chaos. In the present manuscript, more general highly-entangled states are investigated. Mean-field chaos accelerates the emergence of multi-particle entanglement; the boundaries of stable regions are particularly suited for entanglement generation.