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

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:
 [1] ;  [2] ; ORCiD logo [3] ;  [4] ;  [5] ; ORCiD logo [3] ;  [6]
  1. Texas A & M Univ., College Station, TX (United States)
  2. Univ. di Trento, Povo (Italy)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. San Diego State Univ., San Diego, CA (United States)
  5. Univ. of Athens, Athens (Greece)
  6. Univ. of Massachusetts, Amherst, MA (United States)
Publication Date:
Report Number(s):
LA-UR-17-21199
Journal ID: ISSN 2469-9926; PLRAAN
Grant/Contract Number:
AC52-06NA25396
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)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1441300
Alternate Identifier(s):
OSTI ID: 1356869

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., 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. doi: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.. 2017. "Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics". United States. doi: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 = {2017},
month = {4}
}