title: Spontaneous formation and nonequilibrium dynamics of a soliton-shaped Bose-Einstein condensate in a trap.
abstract: The Bose-stimulated self-organization of a quasi-two-dimensional nonequilibrium Bose-Einstein condensate in an in-plane potential is proposed. We obtained the solution of the nonlinear, driven-dissipative Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in an external asymmetric parabolic potential within the method of the spectral expansion. We found that, in sharp contrast to previous observations, the condensate can spontaneously acquire a solitonlike shape for spatially homogeneous pumping. This condensate soliton performs oscillatory motion in a parabolic trap and, also, can spontaneously rotate. Stability of the condensate soliton in the spatially asymmetric trap is analyzed. In addition to the nonlinear dynamics of nonequilibrium Bose-Einstein condensates of ultracold atoms, our findings can be applied to the condensates of quantum well excitons and cavity polaritons in semiconductor heterostructure, and to the condensates of photons.
authors.affiliation: Physics Department, New York City College of Technology, The City University of New York, Brooklyn, New York 11201, USA.
authors.forename: Oleg L
authors.initials: OL
authors.lastname: Berman
authors.affiliation: Physics Department, New York City College of Technology, The City University of New York, Brooklyn, New York 11201, USA.
authors.forename: Roman Ya
authors.initials: RY
authors.lastname: Kezerashvili
authors.affiliation: Physics Department, New York City College of Technology, The City University of New York, Brooklyn, New York 11201, USA.
authors.forename: German V
authors.initials: GV
authors.lastname: Kolmakov
authors.affiliation: Physics Department, New York City College of Technology, The City University of New York, Brooklyn, New York 11201, USA.
authors.forename: Leonid M
authors.initials: LM
authors.lastname: Pomirchi