144 citations · 230 across the 7 of their papers we have counts for
7 papers
Stability and dynamics of massive vortices in two-component Bose-Einstein condensates
J. D'Ambroise, W. Wang, C. Ticknor +2
The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In th…
Toroidal Vortex Filament Knots & Links: Existence, Stability and Dynamics
Theodore Kolokolnikov, Christopher Ticknor, Panayotis Kevrekidis
Using the Klein-Majda-Damodaran model of nearly-parallel vortex filaments, we construct vortex knots and links on a torus involving periodic boundary conditions and analyze their s…
Circular dichroism in high-order harmonic generation: Heralding topological phases and transitions in Chern insulators
Alexis Chacón, Dasol Kim, Wei Zhu +10
Topological materials are of interest to both fundamental science and advanced technologies, because topological states are robust with respect to perturbations and dissipation. Ex…
Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
Wenlong Wang, R. N. Bisset, C. Ticknor +4
In the present work, we explore the existence, stability and dynamics of single and multiple vortex ring states that can arise in Bose-Einstein condensates. Earlier works have illu…
Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates
R. N. Bisset, Wenlong Wang, C. Ticknor +4
Performing a systematic Bogoliubov-de Gennes spectral analysis, we illustrate that stationary vortex lines, vortex rings and more exotic states, such as hopfions, are robust in thr…
On the Bifurcation and Stability of Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates
Russell Bisset, Wenlong Wang, C. Ticknor +4
In the present work, we investigate how single- and multi-vortex-ring states can emerge from a planar dark soliton in three-dimensional (3D) Bose-Einstein condensates (confined in…