Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-05-04
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1103/PhysRevA.70.023602
This paper is concerned with the long wavelength instabilities (infrared catastrophes) occurring in Bose-Einstein condensates (BECs). We examine the modulational instability in ``cigar-shaped'' (1D) attractive BECs and the transverse instability of dark solitons in ``pancake'' (2D) repulsive BECs. We suggest mechanisms, and give explicit estimates, on how to ``engineer'' the trapping conditions of the condensate to avoid such instabilities: the main result being that a tight enough trapping potential suppresses the instabilities present in the homogeneous limit. We compare the obtained estimates with numerical results and we highlight the relevant regimes of dynamical behavior.
Frantzeskakis Dimitri J.
Kevrekidis Panagiotis G.
Theocharis G.
Trombettoni Andrea
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