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Title: | Exact Diagonalization of the one-dimensional Bose-Hubbard model |
Author: | Pagès Fontanella, Ester |
Director/Tutor: | Ołdziejewski, Rafał Juliá-Díaz, Bruno |
Keywords: | Model de Bose–Hubbard Diagonalització exacta Treballs de fi de grau Bose–Hubbard model Exact diagonalization Bachelor's theses |
Issue Date: | Jun-2022 |
Abstract: | The Bose-Hubbard model was introduced to describe the behaviour of ultracold bosons trapped in an optical lattice. Such systems present a quantum phase transition of the ground state between two phases: the Mott Insulator and the superfluid phase. We characterise the ground state phases of one-dimensional systems for different lattice sizes with the unit filling. To do so, we use the Exact Diagonalisation method. The computation of the exact ground state energy and eigenvectors enable the study of different relevant physical quantities that will help us portrait such phase transition. |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Rafał Ołdziejewski, Bruno Julià Díaz |
URI: | http://hdl.handle.net/2445/188800 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
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PAGÈS FONTANELLA ESTER_6057652_assignsubmission_file_TFG-Pages-Fontanella-Ester.pdf | 1.5 MB | Adobe PDF | View/Open |
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