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TFG-Rubio-Jimenez-Victor.pdf (1.51 MB)

Document type

Bachelor thesis

Publication date

2025-01

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cc-by-nc-nd (c) Rubio, 2025
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/223252

Ultracold atoms in a 1D optical lattice: Mott-Superfluid transition

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Abstract

In this project, the transition between different quantum phases of ultracold bosonic systems trapped in an optical lattice is studied using the exact diagonalization method. First, the Mott Insulator to Superfluid transition is analyzed. Afterwards, the Density Wave phase is also considered. Specifically, a Julia programming language code is used to find the ground state of a system defined by a Bose-Hubbard Hamiltonian and the phase of this state is determined by means of specific observables derived from the occupation levels.

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutora: Montserrat Guilleumas Morell

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Àtom ultrafred, Xarxa òptica, Treballs de fi de grau

Subject (English)

Ultracold atom, Optical lattice, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

RUBIO JIMÉNEZ, Víctor. Ultracold atoms in a 1D optical lattice: Mott-Superfluid transition. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/223252

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