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There are several ways to create the vorticity-free solitary waves --rarefaction pulses -- in condensates: by the process of strongly nonequilibriumcondensate formation in a weakly interacting Bose gas, by creating localdepletion of the condensate density by a laser beam, and by moving a smallobject with supercritical velocities. Perturbations created by such wavescolliding with vortices are studied in the context of the Gross-Pitaevskiimodel. We find that the effect of the interactions consists of two competingmechanisms: the creation of vortex line as rarefaction waves acquirecirculation in a vicinity of a vortex core and the loss of the vortex line tosound due to Kelvin waves that are generated on vortex lines by rarefactionpulses. When a vortex ring collides with a rarefaction wave, the ring eitherstabilises to a smaller ring after emitting sound through Kelvin wave radiationor the entire energy of the vortex ring is lost to sound if the radius of thering is of the order of the healing length. We show that during the timeevolution of a tangle of vortices, the interactions with rarefaction pulsesprovide an important dissipation mechanism enhancing the decay of superfluidturbulence.Comment: Revised paper accepted by Phys. Rev.

Interactions of vortices with rarefaction solitary waves in a Bose-Einstein condensate and their role in the decay of superfluid turbulence