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

Ticknor, Christopher; Ruban, Victor P.; Kevrekidis, P. G.

doi:10.1103/PhysRevA.99.063604

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

Journal Article · Mon Jun 10 00:00:00 EDT 2019 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.99.063604· OSTI ID:1542851

Ticknor, Christopher ^[1]; Ruban, Victor P. ^[2]; Kevrekidis, P. G. ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Russian Academy of Sciences (RAS), Chernogolovka (Russian Federation). Landau Inst. for Theoretical Physics
Univ. of Massachusetts, Amherst, MA (United States). Dept. of Mathematics and Statistics

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.

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Research Organization:: 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 Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; PHY-1602994; DMS-1809074; 0033-2019-0003

OSTI ID:: 1542851

Alternate ID(s):: OSTI ID: 1546214

Report Number(s):: LA-UR-19-21943

Journal Information:: Physical Review A, Vol. 99, Issue 6; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links Ruban, Victor P. Physical Review E, Vol. 100, Issue 1 https://doi.org/10.1103/physreve.100.012205	journal	July 2019
Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links Ruban, Victor P. arXiv https://doi.org/10.48550/arxiv.1904.07827	text	January 2019

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