Ring dark solitons in three-dimensional Bose-Einstein condensates

QC 20191218
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.

Kevrekidis, P. G.Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA. (author)
Babaev, EgorKTH,Kondenserade materiens teori(Swepub:kth)u1fe570h (author)
KTHKondenserade materiens teori (creator_code:org_t)

In:Physical Review A: covering atomic, molecular, and optical physics and quantum information: American Physical Society100:52469-99262469-9934

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