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Bachelor thesis

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cc-by-nc-nd (c) Malo, 2018
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/124538

Bright and dark solitons in a Bose-Einstein condensate

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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

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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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MALO ROSET, Laura. Bright and dark solitons in a Bose-Einstein condensate. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/124538

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