Spin squeezing in a bimodal condensate: spatial dynamics and particle losses

TL;DR

This paper presents an analytical approach to study spin squeezing in bimodal Bose-Einstein condensates, accounting for spatial dynamics, particle losses, and predicting maximum achievable squeezing.

Contribution

It introduces a simple two-mode model to predict spin squeezing during disentanglement times in bimodal condensates with realistic loss effects.

Findings

Maximum spin squeezing can be predicted analytically.

Spatial and spin dynamics disentangle at specific times.

Particle losses significantly affect achievable squeezing.

Abstract

We propose an analytical method to study the entangled spatial and spin dynamics of interacting bimodal Bose-Einstein condensates. We show that at particular times during the evolution spatial and spin dynamics disentangle and the spin squeezing can be predicted by a simple two-mode model. We calculate the maximum spin squeezing achievable in experimentally relevant situations with Sodium or Rubidium bimodal condensates, including the effect of the dynamics and of one, two and three-body losses.