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Ring dark solitons in three-dimensional Bose-Einstein condensates
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.
Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA..
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0001-7593-4543
2019 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 100, no 5, article id 053621Article in journal (Refereed) Published
Abstract [en]

In this work we present a systematic study of the three-dimensional extension of the ring dark soliton, examining its existence, stability, and dynamics in isotropic harmonically trapped Bose-Einstein condensates. Detuning the chemical potential from the linear limit, the ring dark soliton becomes unstable immediately but can be fully stabilized by an external cylindrical potential. The ring has a large number of unstable modes which are analyzed through spectral stability analysis. Furthermore, a few typical destabilization dynamical scenarios are revealed with a number of interesting vortical structures emerging, such as the two or four coaxial parallel vortex rings. In the process of considering the stability of the structure, we also develop a modified version of the degenerate perturbation theory method for characterizing the spectra of the coherent structure. This semianalytical method can be reliably applied to any soliton with a linear limit to explore its spectral properties near this limit. The good agreement of the resulting spectrum is illustrated via a comparison with the full numerical Bogolyubov-de Gennes spectrum. The application of the method to the two-component ring dark-bright soliton is also discussed.

Place, publisher, year, edition, pages
American Physical Society, 2019. Vol. 100, no 5, article id 053621
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-265443DOI: 10.1103/PhysRevA.100.053621ISI: 000498843300013Scopus ID: 2-s2.0-85075555793OAI: oai:DiVA.org:kth-265443DiVA, id: diva2:1380331
Note

QC 20191218

Available from: 2019-12-18 Created: 2019-12-18 Last updated: 2020-01-02Bibliographically approved

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Wang, WenlongBabaev, Egor

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