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TORIBIO CANDEL LINDA LAKSHMIAR_4253621_assignsubmission_file_TFG-Toribio-Candel-Linda.pdf (428.05 KB)

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Bachelor thesis

Publication date

2021-07

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cc-by-nc-nd (c) Toribio, 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/180934

Mott Insulator-Superfluid transition with cold atoms trapped in optical lattice

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Abstract

We study the superfluid-Mott insulator quantum phase transition for ultracold atoms described by the Bose-Hubbard model. We first analyse the limiting regimes where only kinetic or interaction energies are present, corresponding to a superfluid (delocalized) or a Mott-insulator (localized) state, respectively. Using a variational wave-function, where the different sites are decorrelated, and imaginay time propagation we then interpolate between these two cases, and find the full phase diagram of the model by analysing the superfluid order parameter, and the average and variance of density of particles per site

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutora: Maria Moreno Cardoner

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Transició de fase quàntica, Aïllant de Mott, Treballs de fi de grau

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Quantum phase transition, Mott insulator, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

TORIBIO CANDEL, Linda. Mott Insulator-Superfluid transition with cold atoms trapped in optical lattice. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/180934

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