Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
- 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.
- 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
Web of Science
Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
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journal | July 2019 |
Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links | text | January 2019 |
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