Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-06-29
Phys. Rev. A {\bf 68} 035602 (2003)
Physics
Condensed Matter
Other Condensed Matter
Typo fixed in Eq. (1): cos^2 -> sin^2
Scientific paper
10.1103/PhysRevA.68.035602
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 Schr{\"o}dinger 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 quasi-periodic oscillations of the DS about the minimum of the parabolic trap.
Carretero-González Ricardo
Frantzeskakis Dimitri J.
Kevrekidis Panagiotis G.
Malomed Boris A.
Theocharis G.
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