2000/10/31 by Roberto D'Agosta, Roberto D’Agosta, Carlo Presilla · 1 citation
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Eigenfunction #Eigenvalues and eigenvectors #Excited state #Gross–Pitaevskii equation #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Maxima and minima #Nonlinear Schrödinger equation #Nonlinear system #Observable #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Schrödinger's cat #Strong Light-Matter Interactions #cond-mat #math-ph #math.AP #math.MP #nlin.PS #quant-ph
paper · pdf · doi:10.1103/physreva.65.043609
published as Phys. Rev. A 65, 043609 (2002) · 6 pages, 5 eps figures, RevTeX
arxiv created 2001/07/10 · openalex publication_date 2002/03/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show the existence of stationary solutions of a one-dimensional Gross-Pitaevskii equation in the presence of a multiwell external potential that do not reduce to any of the eigenfunctions of the associated Schr"odinger problem. These solutions, which in the limit of strong nonlinearity have the form of chains of dark or bright solitons located near the extrema of the potential, represent macroscopically excited states of a Bose-Einstein condensate and are in principle experimentally observable.