Existence, stability, and dynamics of monopole and Alice ring solutions in antiferromagnetic spinor condensates

Thudiyangal Mithun, R. Carretero-González, E. G. Charalampidis, D. S. Hall, and P. G. Kevrekidis
Phys. Rev. A 105, 053303 – Published 11 May 2022
PDFHTMLExport Citation

Abstract

In this paper. we study the existence, stability, and dynamics of select topological points and line defects in antiferromagnetic, polar phase, F=1 Na23 spinor condensates. Specifically, we leverage fixed-point and numerical continuation techniques in three spatial dimensions to identify solution families of monopole and Alice rings as the chemical potential (number of atoms) and trapping strengths are varied within intervals of realizable experimental parameters. We are able to follow the monopole from the linear limit of small atom number all the way to the Thomas-Fermi regime of large atom number. Additionally, and importantly, our studies reveal the existence of two Alice ring solution branches, corresponding to, relatively, smaller and larger ring radii, that bifurcate from each other in a saddle-center bifurcation as the chemical potential is varied. We find that the monopole solution is always dynamically unstable in the regimes considered. In contrast, we find that the larger Alice ring is indeed stable close to the bifurcation point until it destabilizes from an oscillatory instability bubble for a larger value of the chemical potential. We also report on the possibility of dramatically reducing, yet not completely eliminating, the instability rates for the smaller Alice ring by varying the trapping strengths. The dynamical evolution of the different unstable waveforms is also probed via direct numerical simulations.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
14 More
  • Received 4 January 2022
  • Accepted 14 April 2022

DOI:https://doi.org/10.1103/PhysRevA.105.053303

©2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNonlinear DynamicsCondensed Matter, Materials & Applied PhysicsInterdisciplinary Physics

Authors & Affiliations

Thudiyangal Mithun1, R. Carretero-González2,*, E. G. Charalampidis3,†, D. S. Hall4, and P. G. Kevrekidis1

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • 2Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182, USA
  • 3Mathematics Department, California Polytechnic State University, San Luis Obispo, California 93407, USA
  • 4Department of Physics and Astronomy, Amherst College, Amherst, Massachusetts 01002, USA

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 105, Iss. 5 — May 2022

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×