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Title: Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates

Abstract

The long-time existence of topologically nontrivial configurations of quantum vortices in the form of torus knots and links in trapped Bose-Einstein condensates is demonstrated numerically within the three-dimensional Gross-Pitaevskii equation with an external anisotropic parabolic potential. We identify here parametric domains of trap anisotropy, characterized by the axial over planar frequency ratio $${\lambda}{\approx}1.5-1.6$$, where the lifetime of such quasistationary rotating vortex structures is many hundreds of typical rotation times. This suggests the potential experimental observability of the structures. We quantify the relevant lifetimes as a function of the model parameters (e.g., $${\lambda}$$) and initial condition parameters of the knot profile.

Authors:
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Russian Academy of Sciences (RAS), Chernogolovka (Russian Federation). Landau Inst. for Theoretical Physics
  3. Univ. of Massachusetts, Amherst, MA (United States). Dept. of Mathematics and Statistics
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Massachusetts, Amherst, MA (United States); Russian Academy of Sciences (RAS), Chernogolovka (Russian Federation)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1542851
Alternate Identifier(s):
OSTI ID: 1546214
Report Number(s):
LA-UR-19-21943
Journal ID: ISSN 2469-9926
Grant/Contract Number:  
89233218CNA000001; PHY-1602994; DMS-1809074; 0033-2019-0003
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Ticknor, Christopher, Ruban, Victor P., and Kevrekidis, P. G. Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates. United States: N. p., 2019. Web. doi:10.1103/PhysRevA.99.063604.
Ticknor, Christopher, Ruban, Victor P., & Kevrekidis, P. G. Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates. United States. doi:10.1103/PhysRevA.99.063604.
Ticknor, Christopher, Ruban, Victor P., and Kevrekidis, P. G. Mon . "Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates". United States. doi:10.1103/PhysRevA.99.063604.
@article{osti_1542851,
title = {Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates},
author = {Ticknor, Christopher and Ruban, Victor P. and Kevrekidis, P. G.},
abstractNote = {The long-time existence of topologically nontrivial configurations of quantum vortices in the form of torus knots and links in trapped Bose-Einstein condensates is demonstrated numerically within the three-dimensional Gross-Pitaevskii equation with an external anisotropic parabolic potential. We identify here parametric domains of trap anisotropy, characterized by the axial over planar frequency ratio ${\lambda}{\approx}1.5-1.6$, where the lifetime of such quasistationary rotating vortex structures is many hundreds of typical rotation times. This suggests the potential experimental observability of the structures. We quantify the relevant lifetimes as a function of the model parameters (e.g., ${\lambda}$) and initial condition parameters of the knot profile.},
doi = {10.1103/PhysRevA.99.063604},
journal = {Physical Review A},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
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