Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics

Year: 2017

Authors: Wang W., Bisset RN., Ticknor C., Carretero-Gonzalez R., Frantzeskakis DJ., Collins LA., Kevrekidis PG

Autors Affiliation: Texas A&M Univ, Dept Phys & Astron, College Stn, TX 77843 USA; Univ Trento, INO CNR BEC Ctr, Via Sommarive 14, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, Via Sommarive 14, I-38123 Povo, Italy; Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA;‎ San Diego State Univ, Nonlinear Dynam Syst Grp, Computat Sci Res Ctr, San Diego, CA 92182 USA;‎ San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA; Natl & Kapodistrian Univ Athens, Dept Phys, Athens 15784, Greece; Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

Abstract: In the present work, we explore the existence, stability, and dynamics of single-and multiple-vortex-ring states that can arise in Bose-Einstein condensates. Earlier works have illustrated the bifurcation of such states in the vicinity of the linear limit for isotropic or anisotropic three-dimensional harmonic traps. Here, we extend these states to the regime of large chemical potentials, the so-called Thomas-Fermi limit, and explore their properties such as equilibrium radii and inter-ring distance for multi-ring states, as well as their vibrational spectra and possible instabilities. In this limit, both the existence and stability characteristics can be partially traced to a particle picture that considers the rings as individual particles oscillating within the trap and interacting pairwise with one another. Finally, we examine some representative instability scenarios of the multi-ring dynamics, including breakup and reconnections, as well as the transient formation of vortex lines.

Journal/Review: PHYSICAL REVIEW A

Volume: 95 (4)      Pages from: 043638-1  to: 043638-11

KeyWords: DARK SOLITONS; WAVES
DOI: 10.1103/PhysRevA.95.043638

Citations: 20
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