2003/11/27 by Mario Salerno, Salerno, Mario
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Photonic Systems #Soft Condensed Matter (cond-mat.soft) #Strong Light-Matter Interactions #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0311630
4 pages, 6 figures
arxiv created 2003/11/27 · openalex publication_date 2003/11/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We discuss localized ground states of the periodic Gross-Pitaevskii equation in the framework of a quantum linear Schrödinger equation with effective potential determined in self-consistent manner. We show that depending on the interaction among the atoms being attractive or repulsive, bound states of the linear self consistent problem are formed in the forbidden zones of the linear spectrum below or above the energy bands. These eigenstates are shown to be exact solitons of the GPE equation. The implications of this bound state interpretation on the existence of a delocalization transition for multidimensional solitons is briefly discussed.