2009/07/21 by Sadhan K. Adhikari, S. K. Adhikari, Luca Salasnich +1 · 1 citation
Computer Science · Physics and Astronomy · #Amplitude #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Laser #Lattice (music) #Optical lattice #Periodic potential #Physics #Quantum Information and Cryptography #Quantum mechanics #Scattering #Strong Light-Matter Interactions #Superposition principle #Wavelength #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.80.023606
published as Phys. Rev. A 80 (2009) 023606 (pp1-7) · 8 pages
arxiv created 2009/07/21 · openalex publication_date 2009/08/11 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
By direct numerical simulation of the time-dependent Gross-Pitaevskii equation, we study different aspects of the localization of a noninteracting ideal Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasiperiodic optical-lattice potential. Such a quasiperiodic potential, used in a recent experiment on the localization of a BEC [Roati et al., Nature (London) 453, 895 (2008)], can be formed by the superposition of two standing-wave polarized laser beams with different wavelengths. We investigate the effect of the variation of optical amplitudes and wavelengths on the localization of a noninteracting BEC. We also simulate the nonlinear dynamics when a harmonically trapped BEC is suddenly released into a quasiperiodic potential, as done experimentally in a laser speckle potential [Billy et al., Nature (London) 453, 891 (2008)]. We finally study the destruction of the localization in an interacting BEC due to the repulsion generated by a positive scattering length between the bosonic atoms.