Avoiding infrared catastrophes in trapped Bose-Einstein condensates

Authors

PG Kevrekidis, University of Massachusetts - AmherstFollow
G Theocharis
DJ Frantzeskakis
A Trombettoni

Publication Date

2004

Journal or Book Title

PHYSICAL REVIEW A

Abstract

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” (one-dimensional) attractive BECs and the transverse instability of dark solitons in “pancake” (two-dimensional) 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.

Comments

This is the pre-published version harvested from arXiv. The published version is located at http://pra.aps.org/abstract/PRA/v70/i2/e023602

Pages

-

Volume

70

Issue

2

Recommended Citation

Kevrekidis, PG; Theocharis, G; Frantzeskakis, DJ; and Trombettoni, A, "Avoiding infrared catastrophes in trapped Bose-Einstein condensates" (2004). PHYSICAL REVIEW A. 937.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/937