Publicação: Symmetry breaking in a localized interacting binary Bose-Einstein condensate in a bichromatic optical lattice
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Amer Physical Soc
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By direct numerical simulation of the time-dependent Gross-Pitaevskii equation using the split-step Fourier spectral method, we study different aspects of the localization of a cigar-shaped interacting binary (two-component) Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasiperiodic optical-lattice potential, as used in a recent experiment on the localization of a BEC [Roati et al., Nature 453, 895 (2008)]. We consider two types of localized states: (i) when both localized components have a maximum of density at the origin x = 0, and (ii) when the first component has a maximum of density and the second a minimum of density at x = 0. In the noninteracting case, the density profiles are symmetric around x = 0. We numerically study the breakdown of this symmetry due to interspecies and intraspecies interactions acting on the two components. Where possible, we have compared the numerical results with a time-dependent variational analysis. We also demonstrate the stability of the localized symmetry-broken BEC states under small perturbation.
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Physical Review A. College Pk: Amer Physical Soc, v. 81, n. 2, p. 8, 2010.
