Moreno Cardoner, MariaToribio Candel, Linda2021-11-022021-11-022021-07https://hdl.handle.net/2445/180934Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutora: Maria Moreno CardonerWe 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 site7 p.application/pdfengcc-by-nc-nd (c) Toribio, 2021http://creativecommons.org/licenses/by-nc-nd/3.0/es/Transició de fase quànticaAïllant de MottTreballs de fi de grauQuantum phase transitionMott insulatorBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess