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We propose a scheme for the creation of stable three dimensional brightsolitons in Bose-Einstein condensates, i.e., the matter-wave analog ofso-called spatio-temporal "light bullets". Off-resonant dressing to Rydberg$nD$-states is shown to provide nonlocal attractive interactions, leading toself-trapping of mesoscopic atomic clouds by a collective excitation of aRydberg atom pair. We present detailed potential calculations, and demonstratethe existence of stable solitons under realistic experimental conditions bymeans of numerical simulations.

Rydberg-induced Solitons: Three-dimensional Self-trapping of Matter Waves