Dynamics of quantum vortices in a quasi-two-dimensional Bose-Einstein condensate with two "holes"

Abstract

The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose-Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible presence of an immobile vortex with a few circulation quanta at each point, has been considered in a hydrodynamic approximation. A special class of density profiles has been chosen, so that it proves possible to calculate analytically the velocity field produced by point vortices. The equations of motion have been given in a noncanonical Hamiltonian form. The theory has been generalized to the case where the condensate forms a curved quasi-two-dimensional shell in the three-dimensional space.

6 pages, 8 figures, in English, published version

References in corpus (3)

• Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
• Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
• The dynamics of straight vortex filaments in a Bose-Einstein condensate with a Gaussian density profile

Cited by in corpus (6)

• Quantum Vortices in Curved Geometries
• Parametric instability of oscillations of a vortex ring in a $z$-periodic Bose-Einstein condensate and the recurrence to starting state
• Systems of vortices in a binary core-shell Bose-Einstein condensate
• Discrete vortices on spatially nonuniform two-dimensional electric networks
• Stable and unstable vortex knots in a trapped Bose-Einstein condensate
• Direct and reverse precession of a massive vortex in a binary Bose--Einstein condensate