Stabilization of ring dark solitons in Bose-Einstein condensates

Wang, Wenlong; Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J.; Kaper, Tasso J.; Ma, Manjun

doi:10.1103/PhysRevA.92.033611

Title: Stabilization of ring dark solitons in Bose-Einstein condensates

Journal Article · Mon Sep 14 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.92.033611· OSTI ID:1234714

Wang, Wenlong ^[1]; Kevrekidis, P. G. ^[2]; Carretero-González, R. ^[3]; Frantzeskakis, D. J. ^[4]; Kaper, Tasso J. ^[5]; Ma, Manjun ^[6]

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)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: DMR1208046; DMS1312856; DMS1109587; DMS1309035; FA9550-12-1-0332; 11271342; AC52-06NA25396

OSTI ID:: 1234714

Alternate ID(s):: OSTI ID: 1215746

Report Number(s):: LA-UR-15-23918; PLRAAN; TRN: US1600432

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, Issue 3; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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Dynamics of vortices followed by the collapse of ring dark solitons in a two-component Bose-Einstein condensate Wang, Lin-Xue; Dai, Chao-Qing; Wen, Lin Physical Review A, Vol. 97, Issue 6 https://doi.org/10.1103/physreva.97.063607	journal	June 2018
Dynamics and pattern formation of ring dark solitons in a two-dimensional binary Bose-Einstein condensate with tunable interactions He, Zhang-Ming; Wen, L.; Wang, Ya-Jun Physical Review E, Vol. 99, Issue 6 https://doi.org/10.1103/physreve.99.062216	journal	June 2019
Dark spherical shell solitons in three-dimensional Bose-Einstein condensates: Existence, stability and dynamics Wang, Wenlong; Kevrekidis, P. G.; Carretero-Gonzalez, R. arXiv https://doi.org/10.48550/arxiv.1601.02176	text	January 2016
Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics Wang, Wenlong; Bisset, R. N.; Ticknor, C. arXiv https://doi.org/10.48550/arxiv.1702.03663	text	January 2017

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