Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction

Abstract

We study formation of rotating three-dimensional high-order solitons (azimuthons) in Bose Einstein condensate with attractive nonlocal nonlinear interaction. In particular, we demonstrate formation of toroidal rotating solitons and investigate their stability. We show that variational methods allow a very good approximation of such solutions and predict accurately the soliton rotation frequency. We also find that these rotating localized structures are very robust and persist even if the initial condensate conditions are rather far from the exact soliton solutions. Furthermore, the presence of repulsive contact interaction does not prevent the existence of those solutions, but allows to control their rotation. We conjecture that self-trapped azimuthons are generic for condensates with attractive nonlocal interaction.

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Cited by in corpus (9)

• Stable giant vortex annuli in microwave-coupled atomic condensates
• Azimuthons in weakly nonlinear waveguides of different symmetries
• Stable vortex in Bose-Einstein condensate dark matter
• Collapse in the nonlocal nonlinear Schrödinger equation
• Stability of solitary waves in random nonlocal nonlinear media
• Stable vortex structures in colliding self-gravitating Bose-Einstein condensates
• Relation between the eigenfrequencies of Bogoliubov excitations of Bose-Einstein condensates and the eigenvalues of the Jacobian in a time-dependent variational approach
• A variational approach to Bogoliubov excitations and dynamics of dipolar Bose-Einstein condensates
• Tightly bound solitons and vortices in three-dimensional bosonic condensates with the electromagnetically-induced gravity