Many particle entanglement in two-component Bose-Einstein Condensates

TL;DR

This paper explores rapid creation of many-particle entangled states in two-component Bose-Einstein condensates, analyzing methods, effects of decoherence, measurement strategies, and experimental challenges.

Contribution

It introduces a scheme for fast entanglement generation in BECs, validated by numerical and semiclassical methods for N ≥ 50, and assesses practical considerations.

Findings

Entanglement can be generated in a time proportional to 1/N.

Numerical and semiclassical results agree well for N ≥ 50.

Decoherence and imperfections impact the entanglement creation process.

Abstract

We investigate schemes to dynamically create many particle entangled states of a two component Bose-Einstein condensate in a very short time proportional to 1/N where $N$ is the number of condensate particles. For small $N$ we compare exact numerical calculations with analytical semiclassical estimates and find very good agreement for $N \geq 50$. We also estimate the effect of decoherence on our scheme, study possible scenarios for measuring the entangled states, and investigate experimental imperfections.