Stabilization of ring dark solitons in Bose-Einstein condensates
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. Furthermore, 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.
- Authors:
-
- Univ. of Massachusetts, Amherst, MA (United States)
- Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- San Diego State Univ., San Diego, CA (United States)
- Univ. of Athens, Athens (Greece)
- Boston Univ., Boston, MA (United States)
- Zhejiang Sci-Tech Univ., Zhejiang (China)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1234714
- Alternate Identifier(s):
- OSTI ID: 1215746
- Report Number(s):
- LA-UR-15-23918
Journal ID: ISSN 1050-2947; PLRAAN; TRN: US1600432
- Grant/Contract Number:
- DMR1208046; DMS1312856; DMS1109587; DMS1309035; FA9550-12-1-0332; 11271342; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING
Citation Formats
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. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.92.033611.
Wang, Wenlong, Kevrekidis, P. G., Carretero-González, R., Frantzeskakis, D. J., Kaper, Tasso J., & Ma, Manjun. Stabilization of ring dark solitons in Bose-Einstein condensates. United States. https://doi.org/10.1103/PhysRevA.92.033611
Wang, Wenlong, Kevrekidis, P. G., Carretero-González, R., Frantzeskakis, D. J., Kaper, Tasso J., and Ma, Manjun. Mon .
"Stabilization of ring dark solitons in Bose-Einstein condensates". United States. https://doi.org/10.1103/PhysRevA.92.033611. https://www.osti.gov/servlets/purl/1234714.
@article{osti_1234714,
title = {Stabilization of ring dark solitons in Bose-Einstein condensates},
author = {Wang, Wenlong and Kevrekidis, P. G. and Carretero-González, R. and Frantzeskakis, D. J. and Kaper, Tasso J. and Ma, Manjun},
abstractNote = {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. Furthermore, 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.},
doi = {10.1103/PhysRevA.92.033611},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 3,
volume = 92,
place = {United States},
year = {Mon Sep 14 00:00:00 EDT 2015},
month = {Mon Sep 14 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
Ring dark solitons in three-dimensional Bose-Einstein condensates
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