Stable Hopf solitons in rotating Bose-Einstein condensates

Abstract

We reveal that Hopf solitons can be stabilized in rotating atomic Bose-Einstein condensate. The Hopfion is a matter-wave vortex complex which carries two independent winding numbers. Such a topological solitonic structure results from a superfluid flow of atoms simultaneously quantized in poloidal and toroidal directions. In the framework of a dissipative mean-field model we observe different unstable evolution scenarios of the Hopfions. We demonstrate energetic and dynamical stability of the Hopf solitons under experimentally feasible conditions.

5 pages, 10 figures

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• Numerical Study of the stability of Skyrmions in Bose-Einstein Condensates
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• Multidimensional solitons: Well-established results and novel findings
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• Nonlinear dynamics of Josephson vortices in merging superfluid rings
• Collective oscillations of a Bose-Einstein condensate induced by a vortex ring
• Observation of a Spinning Top in a Bose-Einstein Condensate
• Linked and knotted synthetic magnetic fields
• Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
• Nonlinearity and Topology
• Exact Hopfion Vortices in a 3D Heisenberg Ferromagnet
• Construction of Hopfion Crystals