Fluctuations of spinor Bose-Einstein condensates

Abstract

We develop theory for fluctuations in atom number and spin within finite-sized cells of a spinor Bose-Einstein condensate. This theory provides a model of measurements that can be performed in current experiments using finite resolution in situ imaging. We develop analytic results for quantum and thermodynamic limits of the fluctuations and apply our theory to the four equilibrium phases of a spin-1 condensate. We then validate these limits and examine the behaviour over a wide parameter regime using numerical calculations specialised to the case of a spinor condensate confined to be quasi-two-dimensional (quasi-2D).

11 pages, 9 figures

References in corpus (10)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Extension of Bogoliubov theory to quasi-condensates
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• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
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Cited by in corpus (2)

• Different growth rates for spin and superfluid order in a quenched spinor condensate
• Scaling of Fluctuations in a Trapped Binary Condensate