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Title: Mott Insulator-Superfluid transition with cold atoms trapped in optical lattice
Author: Toribio Candel, Linda
Director/Tutor: Moreno Cardoner, Maria
Keywords: Transició de fase quàntica
Aïllant de Mott
Treballs de fi de grau
Quantum phase transition
Mott insulator
Bachelor's theses
Issue Date: Jul-2021
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
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutora: Maria Moreno Cardoner
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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