Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics
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. In conclusion, we examine some representative instability scenarios of the multi-ring dynamics, including breakup and reconnections, as well as the transient formation of vortex lines.
- Authors:
-
[3];
[3];
- Texas A & M Univ., College Station, TX (United States)
- Univ. di Trento, Povo (Italy)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- San Diego State Univ., San Diego, CA (United States)
- Univ. of Athens, Athens (Greece)
- Univ. of Massachusetts, Amherst, MA (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1441300
- Alternate Identifier(s):
- OSTI ID: 1356869
- Report Number(s):
- LA-UR-17-21199
Journal ID: ISSN 2469-9926; PLRAAN; TRN: US1900884
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Wang, Wenlong, Bisset, R. N., Ticknor, Christopher, Carretero-Gonzalez, R., Frantzeskakis, D. J., Collins, L. A., and Kevrekidis, P. G. Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics. United States: N. p., 2017.
Web. doi:10.1103/PhysRevA.95.043638.
Wang, Wenlong, Bisset, R. N., Ticknor, Christopher, Carretero-Gonzalez, R., Frantzeskakis, D. J., Collins, L. A., & Kevrekidis, P. G. Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics. United States. https://doi.org/10.1103/PhysRevA.95.043638
Wang, Wenlong, Bisset, R. N., Ticknor, Christopher, Carretero-Gonzalez, R., Frantzeskakis, D. J., Collins, L. A., and Kevrekidis, P. G. Thu .
"Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics". United States. https://doi.org/10.1103/PhysRevA.95.043638. https://www.osti.gov/servlets/purl/1441300.
@article{osti_1441300,
title = {Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics},
author = {Wang, Wenlong and Bisset, R. N. and Ticknor, Christopher and Carretero-Gonzalez, R. and Frantzeskakis, D. J. and Collins, L. A. and Kevrekidis, P. G.},
abstractNote = {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. In conclusion, we examine some representative instability scenarios of the multi-ring dynamics, including breakup and reconnections, as well as the transient formation of vortex lines.},
doi = {10.1103/PhysRevA.95.043638},
journal = {Physical Review A},
number = 4,
volume = 95,
place = {United States},
year = {Thu Apr 27 00:00:00 EDT 2017},
month = {Thu Apr 27 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
Ring dark solitons in three-dimensional Bose-Einstein condensates
journal, November 2019
- Wang, Wenlong; Kevrekidis, P. G.; Babaev, Egor
- Physical Review A, Vol. 100, Issue 5
Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
journal, July 2019
- Ruban, Victor P.
- Physical Review E, Vol. 100, Issue 1
Hamiltonian bifurcation perspective on two interacting vortex pairs: From symmetric to asymmetric leapfrogging, period doubling, and chaos
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- Whitchurch, Brandon; Kevrekidis, Panayotis G.; Koukouloyannis, Vassilis
- Physical Review Fluids, Vol. 3, Issue 1
A Hamiltonian Bifurcation Perspective on Two Interacting Vortex Pairs: From Symmetric to Asymmetric Leapfrogging, Period Doubling and Chaos
text, January 2017
- Whitchurch, Brandon; Kevrekidis, Panayotis. G.; Koukouloyannis, Vassilis
- arXiv
Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates
text, January 2018
- Ticknor, Christopher; Wang, Wenlong; Kevrekidis, P. G.
- arXiv
Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
text, January 2019
- Ruban, Victor P.
- arXiv