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: 43638-1  to: 43638-11

More Information: W.W. acknowledges support from NSF Grant No. DMR1151387 and from the Office of the Director of National Intelligence (ODNI), Intelligence Advance Research Projects Activity (IARPA), via MIT Lincoln Laboratory Air Force Contract No. FA8721-05-C-0002. R.N.B. is supported by the QUIC grant of the Horizon 2020 FET program and by Provincia Autonoma di Trento. R.N.B., C.T., L.A.C., and P.G.K. acknowledge support from Los Alamos National Laboratory, which is operated by LANS, LLC for the NNSA of the U.S. DOE and, specifically, Contract No. DEAC52-06NA25396. R.C.-G. gratefully acknowledges the support of NSF GrantsNo. DMS-1309035 and No. PHY-1603058. P.G.K. gratefully acknowledges the support from NSF Grants No. DMS-1312856 and No. PHY-1602994, from the ERC under FP7, MarieCurie Actions, People, International Research Staff Exchange Scheme (IRSES-605096), and from the Stavros Niarchos Foundation via the Greek Diaspora Fellowship Program. We thank the Texas A&M University for access to their Ada cluster.
KeyWords: Dark Solitons; Waves
DOI: 10.1103/PhysRevA.95.043638

Citations: 26
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