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We consider a Bose-Einstein condensate with repulsive interactions confinedin a 1D ring where a Dirac delta is rotating at constant speed. The spectrum ofstationary solutions in the delta comoving frame is analyzed in terms of thenonlinear coupling, delta velocity, and delta strength, which may take positiveand negative values. It is organized into a set of energy levels conforming amultiple swallowtail structure in parameter space, consisting in brightsolitons, gray and dark solitonic trains, and vortices. Analytical expressionsin terms Jacobi elliptic functions are provided for the wave functions andchemical potentials. We compute the critical velocities and perform aBogoliubov analysis for the ground state and first few excited levels,establishing possible adiabatic transitions between the stationary and stablesolutions. A set of adiabatic cycles is proposed in which gray solitons andvortices of arbitrary quantized angular momenta are obtained from the groundstate by setting and unsetting a rotating delta.

Bose-Einstein condensate confined in a 1D ring stirred with a rotating delta link