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We propose a simple way to generate nonlinear excitations in a controllableway by managing interactions in Bose-Einstein condensates. Under the action ofa quantum analogue of a classical piston the condensed atoms are pushed throughthe trap generating vortex rings in a fully three- dimensional condensates orsoliton trains in quasi-one dimensional scenarios. The vortex rings form due totransverse instability of the shock wave train enhanced and supported by theenergy transfer between waves. We elucidate in which sense theself-interactions within the atom cloud define the properties of generatedvortex rings and soliton trains. Based on the quantum piston scheme we studythe behavior of two component Bose-Einstein condensates and analyze how thepresence of an additional superfluid influences the generation of vortex ringsor solitons in the other component and vice versa. Finally, we show thedynamical emergence of skyrmions within two component systems in the immiscibleregime.

Nonlinear quantum piston for the controlled generation of vortex rings and soliton trains