Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice

Authors

PG Kevrekidis, University of Massachusetts - AmherstFollow
R Carretero-Gonzalez
G Theocharis
DJ Frantzeskakis
BA Malomed

Publication Date

2003

Journal or Book Title

PHYSICAL REVIEW A

Abstract

We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysis is based on both the full Gross-Pitaevskii equation and its tight-binding approximation counterpart (discrete nonlinear Schrödinger equation). We find that DSs are subject to weak instabilities with an onset of instability mainly governed by the period and amplitude of the OL. The instability, if present, sets in at large times and it is characterized by quasiperiodic oscillations of the DS about the minimum of the parabolic trap.

Comments

This is the pre-published version harvested from arXiv. The published version is located at http://pra.aps.org/abstract/PRA/v68/i3/e035602

Pages

-

Volume

68

Issue

3

Recommended Citation

Kevrekidis, PG; Carretero-Gonzalez, R; Theocharis, G; Frantzeskakis, DJ; and Malomed, BA, "Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice" (2003). PHYSICAL REVIEW A. 939.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/939