Stabilization of Ring Dark Solitons in Bose-Einstein Condensates

Authors

Wenlong Wang, University of Massachusetts AmherstFollow
P. G. Kevrekidis, University of Massachusetts AmherstFollow
R. Carretero-González, San Diego State University
D. J. Frantzeskakis, University of Athens
Tasso J. Kaper, Boston University
manjun Ma, Zhejiang Sci-Tech UniversityFollow

Publication Date

2015

Journal or Book Title

Physical Review A

Abstract

Earlier work has shown that ring dark solitons in two-dimensional Bose-Einstein condensates are generically unstable. In this work, we propose a way of stabilizing the ring dark soliton via a radial Gaussian external potential. We investigate the existence and stability of the ring dark soliton upon variations of the chemical potential and also of the strength of the radial potential. Numerical results show that the ring dark soliton can be stabilized in a suitable interval of external potential strengths and chemical potentials. We also explore different proposed particle pictures considering the ring as a moving particle and find, where appropriate, results in very good qualitative and also reasonable quantitative agreement with the numerical findings.

Comments

Uploaded as published. DOI: 10.1103/PhysRevA.92.033611

Pages

033611-1 - 033611-11

Volume

92

Issue

033611

Recommended Citation

Wang, Wenlong; Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J.; Kaper, Tasso J.; and Ma, manjun, "Stabilization of Ring Dark Solitons in Bose-Einstein Condensates" (2015). Physical Review A. 1234.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1234