Symmetry breaking in a localized interacting binary Bose-Einstein condensate in a bichromatic optical lattice

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.023620· OSTI ID:21408292

Yongshan, Cheng ^[1]; Adhikari, S K ^[1]

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1. Instituto de Fisica Teorica, UNESP-Universidade Estadual Paulista, 01.140-070 Sao Paulo (Brazil)

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.

• OSTI ID: 21408292
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
COMPUTERIZED SIMULATION
INTERACTIONS
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
POTENTIALS
SIMULATION
SYMMETRY
SYMMETRY BREAKING
TIME DEPENDENCE
VARIATIONAL METHODS