Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-06-29
J. Phys. B: At. Mol. Phys. {\bf 36} (2003) 3467--3476
Physics
Condensed Matter
Other Condensed Matter
10 pages, 6 figures
Scientific paper
10.1088/0953-4075/36/16/308
We investigate the dynamics of vortices in repulsive Bose-Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the OL potential relative to the magnetic trap, and depends less on the OL strength. For the cosinusoidal OL potential, a local minimum is generated at the trap's center, creating a stable equilibrium for the vortex, while in the case of the sinusoidal potential, the vortex is expelled from the center, demonstrating spiral motion. Cases where the vortex is created far from the trap's center are also studied, revealing slow outward-spiraling drift. Numerical results are explained in an analytical form by means of a variational approximation. Finally, motivated by a discrete model (which is tantamount to the case of the strong OL lattice), we present a novel type of vortex consisting of two pairs of anti-phase solitons.
Carretero-González Ricardo
Frantzeskakis Dimitri J.
Kevrekidis Panagiotis G.
Malomed Boris A.
Theocharis G.
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