TY - JOUR
T1 - Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
AU - Kevrekidis, P. G.
AU - Carretero-González, R.
AU - Theocharis, G.
AU - Frantzeskakis, D. J.
AU - Malomed, B. A.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85037239055&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.68.035602
DO - 10.1103/PhysRevA.68.035602
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AN - SCOPUS:85037239055
SN - 1050-2947
VL - 68
SP - 4
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
ER -