

The dynamics of quantum vortices in a quasitwodimensional BoseEinstein condensate with two ``holes''
Abstract:
The dynamics of interacting quantum vortices in a quasi2D spatially nonuniform BoseEinstein
condensate is considered in hydrodynamic approximation for the case when equilibrium density of the condensate vanishes at two points of the plane, in each of them the presence of a stationary vortex of several quanta of circulation is possible. A special class of the density profiles is chosen, so that with the help of a conformal mapping of the plane onto a cylinder, analytical calculation becomes possible for the velocity field created by vortices. Equations of motion are presented in a noncanonical Hamiltonian form. The theory is generalized to the case when condensate takes form of a curved quasi2D shell in the 3D space. Authors
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