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MARTORELL GRANOLLERS ALÈXIA_6057542_assignsubmission_file_TFG-Martorell-Granollers-Alèxia.pdf (363.16 KB)

Document type

Bachelor thesis

Publication date

2022-06

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cc-by-nc-nd (c) Martorell, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/188719

Two weakly interacting Bose-Einstein condensates: Two mode approximation

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Abstract

In 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 analogy

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutora: Montserrat Guilleumas Morell

Subject

Condensació de Bose-Einstein, Equació de Gross-Pitaevskii, Treballs de fi de grau

Subject (English)

Bose-Einstein condensation, Gross-Pitaevskii equation, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

MARTORELL GRANOLLERS, Alèxia. Two weakly interacting Bose-Einstein condensates: Two mode approximation. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/188719

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