Atom-number squeezing and bipartite entanglement of two-component Bose-Einstein condensates: analytical results

TL;DR

This paper provides analytical results on atom-number squeezing and bipartite entanglement in two-component Bose-Einstein condensates, highlighting how interactions influence quantum correlations and the emergence of Schrödinger's cat states.

Contribution

It offers analytical expressions for atom-number squeezing and entanglement in BECs, exploring effects of attractive and repulsive interactions on quantum states.

Findings

Repulsive interactions enable atom-number squeezing and bipartite entanglement.

Attractive interactions do not produce number squeezing but indicate Schrödinger's cat states.

The squeezing parameter helps identify non-classical states in BECs.

Abstract

We investigate spin dynamics of a two-component Bose-Einstein condensates with weak Josephson coupling. Analytical expressions of atom-number squeezing and bipartite entanglement are presented for atom-atom repulsive interactions. For attractive interactions, there is no number squeezing; however, the squeezing parameter is still useful to recognize the appearance of Schr\"{o}dinger's cat state.