Localization of collisionally inhomogeneous condensates in a bichromatic optical lattice

Journal Article · Tue Feb 15 04:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.023620· OSTI ID:21537208

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, Sao Paulo (Brazil)

By direct numerical simulation and variational solution of the Gross-Pitaevskii equation, we studied the stationary and dynamic characteristics of a cigar-shaped, localized, collisionally inhomogeneous Bose-Einstein condensate trapped in a one-dimensional bichromatic quasiperiodic optical-lattice potential, as used in a recent experiment on the localization of a Bose-Einstein condensate [Roati et al., Nature (London) 453, 895 (2008)]. The effective potential characterizing the spatially modulated nonlinearity is obtained. It is found that the collisional inhomogeneity has influence not only on the central region but also on the tail of the Bose-Einstein condensate. The influence depends on the sign and value of the spatially modulated nonlinearity coefficient. We also demonstrate the stability of the stationary localized state by performing a standard linear stability analysis. Where possible, the numerical results are shown to be in good agreement with the variational results.

• OSTI ID: 21537208
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 83; 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
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
COMPUTERIZED SIMULATION
CRYSTAL LATTICES
CRYSTAL STRUCTURE
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
SIMULATION
STABILITY
TRAPPING
VARIATIONAL METHODS