English

Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice

Quantum Gases 2015-05-19 v1

Abstract

By direct numerical simulation of the time-dependent Gross-Pitaevskii equation using the split-step Fourier spectral method we study the double-humped localization of a cigar-shaped Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential, as used in a recent experiment on the localization of a BEC [Roati et al., Nature 453, 895 (2008)]. Such states are spatially antisymmetric and are excited modes of Anderson localization. Where possible, we have compared the numerical results with a variational analysis. We also demonstrate the stability of the localized double-humped BEC states under small perturbation.

Keywords

Cite

@article{arxiv.1006.4277,
  title  = {Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice},
  author = {Y. Cheng and S. K. Adhikari},
  journal= {arXiv preprint arXiv:1006.4277},
  year   = {2015}
}