Publication Date
2022
Journal or Book Title
arXiv Preprint
Abstract
We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schrödinger type. While our computations relate to two-component atomic Bose-Einstein condensates in parabolic traps, our methods can be broadly applied to high-dimensional, nonlinear systems of partial differential equations. The combination of the so-called deflation technique with a careful selection of initial guesses enables the computation of an unprecedented breadth of patterns, including ones combining vortex lines, rings, stars, and “vortex labyrinths”. Despite their complexity, they may be dynamically robust and amenable to experimental observation, as confirmed by Bogolyubov-de Gennes spectral analysis and numerical evolution simulations.
DOI
https://doi.org/10.48550/arXiv.2208.05703
License
UMass Amherst Open Access Policy
Recommended Citation
Boullé, N.; Newell, I.; Farrell, P. E.; and Kevrekidis, Panayotis G., "Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns" (2022). arXiv Preprint. 1341.
https://doi.org/10.48550/arXiv.2208.05703