Juliá-Díaz, BrunoMalo Roset, Laura2018-09-132018-09-132018-01https://hdl.handle.net/2445/124538Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Bruno Julià DíazWe study dark and bright solitons in confined Bose-Einstein condensates of ultracold gases with repulsive and attractive atom-atom interaction. First, we compute analytic properties of the solitons in absence of the trap. Then, we consider the problem of the collision of a bright soliton with a barrier. This is studied by solving numerically the 1D Gross-Pitaevskii equation in the presence of a harmonic oscillator potential and a Rosen-Morse barrier. We discuss in detail the conditions for having a transmission coefficient of T = 0:5. Then, we study the evolution of the energies during this process and the nature of the part transmitted5 p.application/pdfengcc-by-nc-nd (c) Malo, 2018http://creativecommons.org/licenses/by-nc-nd/3.0/es/SolitonsCondensació de Bose-EinsteinTreballs de fi de grauSolitonsBose-Einstein condensationBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess