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Bright and dark solitons in a Bose-Einstein condensate

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Bruno Julià Díaz

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We 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 transmitted

# metadata.dc.title[].value
Bright and dark solitons in a Bose-Einstein condensate