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Article Dans Une Revue The European Physical Journal. Special Topics Année : 2012

Spin Squeezing in Finite Temperature Bose-Einstein Condensates : Scaling with the system size

Alice Sinatra
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Yvan Castin

Résumé

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 $N\to \infty$ 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 $\langle N_{\rm nc} \rangle/N$ 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.
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Dates et versions

hal-00652808 , version 1 (16-12-2011)
hal-00652808 , version 2 (30-04-2012)

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Alice Sinatra, Emilia Witkowska, Yvan Castin. Spin Squeezing in Finite Temperature Bose-Einstein Condensates : Scaling with the system size. The European Physical Journal. Special Topics, 2012, 203, pp.87. ⟨hal-00652808v2⟩
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