Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns

N. Boullé; I. Newell; P. E. Farrell; P. G. Kevrekidis

doi:10.1103/physreva.107.012813

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arXiv · 2208.05703

Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns

N. Boullé·I. Newell·P. E. Farrell·P. G. Kevrekidis

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Abstract

We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr{ö}dinger 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.

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N. Boullé, I. Newell, P. E. Farrell, P. G. Kevrekidis. 2023-01-16. Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. https://doi.org/10.1103/physreva.107.012813

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