Eur. Phys. J. B 68, 365-381 (2009)
https://doi.org/10.1140/epjb/e2008-00472-6

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

¹ Laboratoire Kastler Brossel, ENS, UPMC and CNRS, 24 rue Lhomond, 75231 Paris Cedex 05, France
² State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, 200062, Shanghai, P.R. China
³ Max-Planck-Institut für Quantenoptik and Fakultät für Physik der Ludwig-Maximilians-Universität, Schellingstrasse 4, 80799 München, Germany

Corresponding author: ^a alice.sinatra@lkb.ens.fr

Received: 13 July 2008
Revised: 3 November 2008
Published online: 9 January 2009

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.