Deflation-based Identification of Nonlinear Excitations of the 3D Gross--Pitaevskii equation
arXiv:2004.10446 · doi:10.1103/PhysRevA.102.053307
Abstract
We present previously unknown solutions to the 3D Gross--Pitaevskii equation describing atomic Bose-Einstein condensates. This model supports elaborate patterns, including excited states bearing vorticity. The discovered coherent structures exhibit striking topological features, involving combinations of vortex rings and multiple, possibly bent vortex lines. Although unstable, many of them persist for long times in dynamical simulations. These solutions were identified by a state-of-the-art numerical technique called deflation, which is expected to be applicable to many problems from other areas of physics.
arXiv comment9 pages, 11 figures
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Cited by in corpus (11)
- Multipolar boson stars: macroscopic Bose-Einstein condensates akin to hydrogen orbitals
- Constrained high-index saddle dynamics for the solution landscape with equality constraints
- Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
- Control of bifurcation structures using shape optimization
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- Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem
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- Numerical bifurcation and stability for the capillary-gravity Whitham equation
- Bifurcation analysis of two-dimensional Rayleigh--Bénard convection using deflation