Spin squeezing in finite temperature Bose-Einstein condensates: Scaling with the system size |
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Authors: | A Sinatra E Witkowska Y Castin |
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Institution: | 1.Laboratoire Kastler Brossel, école Normale Supérieure, UPMC and CNRS,Paris,France;2.Institute of Physics, Polish Academy of Sciences,Warszawa,Poland |
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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. |
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Keywords: | |
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