Multi–hump soliton–like structures in interactions of lasers and Bose–Einstein condensates

PACS 37.10.Vz – Mechanical effects of light on atoms, molecules, and ions PACS 42.65.Sf – Dynamics of nonlinear optical systems PACS 03.75.Be – Atom optics Abstract.- An investigation is made of multihump and periodic solutions of the semiclassi-cal coupled equations describing laser radiation copropagating with a Bose-Einstein condensate. Solutions reminiscent of optical vector solitons have been found and have been used to gain un-derstanding of the dynamics observed in the numerical simulations, in particular to shed light on the phenomenon of jet emission from a condensate interacting with a laser. Introduction. – The experimental realisation of Bose-Einstein condensates (BEC) and of coherent atomic beams has inspired a renewed effort in the theoretical mod-elling of such physical systems. Of particular interest from the point of view of applications, is the possibility of ma