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Stabilizing the discrete vortex of topological charge S=2
P G Kevrekidis1, D J Frantzeskakis
1Department of Mathematics and Statistics, University of Massachusetts, Amherst Massachusetts 01003-4515, USA.
Summary
We investigated discrete vortices with topological charge S=2 in lattice models. By making the central site inert, we found a range of stable S=2 discrete vortices, potentially observable experimentally.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Optical lattices
Background:
- Discrete vortices are topological defects in nonlinear systems.
- Instability of higher-charge discrete vortices (S>1) is a key research area.
- Previous studies focused on S=1 vortices, with experimental observation of S=1 discrete vortices.
Purpose of the Study:
- To investigate the instability of discrete vortices with topological charge S=2.
- To explore the possibility of stable higher-charge discrete vortices in lattice models.
- To identify conditions for the experimental observation of S=2 discrete vortices.
Main Methods:
- Analysis of a prototypical lattice model.
- Numerical simulations to observe vortex behavior.
- Analytical identification of stability ranges.
Main Results:
- The instability of S=2 discrete vortices is mediated by the central lattice site.
- An inert central site allows for a range of linearly stable S=2 discrete vortices.
- The stability range of S=2 vortices is comparable to experimentally observed S=1 vortices.
Conclusions:
- The central lattice site plays a crucial role in S=2 discrete vortex instability.
- Stable S=2 discrete vortices can exist in lattice models with an inert central site.
- These findings suggest the potential for experimental observation of higher-charge discrete vortices.
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