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The European Physical Journal Special Topics

, Volume 203, Issue 1, pp 87–116 | Cite as

Spin squeezing in finite temperature Bose-Einstein condensates: Scaling with the system size

  • A. SinatraEmail author
  • E. Witkowska
  • Y. Castin
Regular Article

Abstract

We perform a multimode treatment of spin squeezing induced by interactions in atomic condensates, and we show that, at finite temperature, the maximum spin squeezing has a finite limit when the atom number N →∞ at fixed density and interaction strength. To calculate the limit of the squeezing parameter for a spatially homogeneous system we perform a double expansion with two small parameters: 1/N in the thermodynamic limit and the non-condensed fraction ⟨N nc⟩/N in the Bogoliubov limit. To test our analytical results beyond the Bogoliubov approximation, and to perform numerical experiments, we use improved classical field simulations with a carefully chosen cut-off, such that the classical field model gives for the ideal Bose gas the correct non-condensed fraction in the Bose-condensed regime.

Keywords

European Physical Journal Special Topic Thermodynamic Limit Condensed Fraction Condensate Mode Hermitian Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2012

Authors and Affiliations

  1. 1.Laboratoire Kastler Brossel, École Normale Supérieure, UPMC and CNRSParisFrance
  2. 2.Institute of Physics, Polish Academy of SciencesWarszawaPoland

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