Two weakly interacting Bose-Einstein condensates: Two mode approximation

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutora: Montserrat Guilleumas MorellIn this project, we study the dynamics of two weakly interacting Bose-Einstein condensates confined by a double-well potential. We obtain the two coupled equations of motion from the Gross-Pitaevskii equation, within the mean-field framework, by using a two-mode ansatz. We solve these equations numerically and study the tunneling dynamics of the system. We have obtained two different regimes: Josephson dynamics and macroscopic quantum self-trapping. Finally, we investigate the bifurcation between these two regimes and describe the dynamics of the system by using a simple pendulum analog