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Title: Bright soliton dynamics in confining and expelling potentials
Author: Parcerisa Conesa, Marc
Director/Tutor: Juliá-Díaz, Bruno
Astrakharchik, Grigori
Keywords: Solitons
Condensació de Bose-Einstein
Treballs de fi de grau
Bose-Einstein condensation
Bachelor's theses
Issue Date: Jun-2023
Abstract: This work presents an exploration of the dynamics of a Bose-Einstein Condensate (BEC) with a focus the bright soliton solution for the 1D Gross-Pitaevskii equation. The Crank-Nicolson algorithm is used to study the soliton trapped in a harmonic oscillator potential well, a case which can be used to test the solver. Two vibration modalities are revealed: Oscillations, with frequency ωosc = ω, and squeezing, with ωsq = 1 + 0.055 × ξ−2.49. Then the soliton is placed in an inverted harmonic oscillator potential, on which different dynamical regimes are discussed, which depend on the healing length and the oscillator length scale, presenting a transition at ξ ≈ 0.30 ± 0.05a0.
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutors: Bruno Juliá Díaz, Grigori Astrakharchik
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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