1. Robust vortex lines, vortex rings, and hopfions in three-dimensional Bose-Einstein condensates.
- Author
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Bisset, R. N., Kevrekidis, R. G., Wenlong Wang, Ticknor, C., Collins, L. A., Carretero-Gonzalez, R., and Frantzeskakis, D. J.
- Subjects
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BOSE-Einstein condensation , *HOPF bifurcations , *QUANTUM fluids , *SKYRMIONS , *GROSS-Pitaevskii equations - Abstract
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 three-dimensional atomic Bose-Einstein condensates, for large parameter intervals. Importantly, we find that the hopfion can be stabilized in a simple parabolic trap, without the need for trap rotation or inhomogeneous interactions. We supplement our spectral analysis by studying the dynamics of such stationary states; we find them to be robust against significant perturbations of the initial state. In the unstable regimes, we not only identify the unstable mode, such as a quadrupolar or hexapolar mode, but we also observe the corresponding instability dynamics. Furthermore, deep in the Thomas-Fermi regime, we investigate the particlelike behavior of vortex rings and hopfions. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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