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Title: Fractional quantum Hall effect with cold atoms
Author: Escalante Charlez, Juan Miguel
Director: Barberán Falcón, Núria
Keywords: Efecte Hall quàntic
Treballs de fi de grau
Sistemes hamiltonians
Quantum Hall effect
Bachelor's thesis
Hamiltonian systems
Issue Date: Jan-2016
Abstract: This work presents an introduction to the simulation of the Fractional Quantum Hall Effect with cold neutral atoms. In order to do this we perform the study of the energy spectrum of a neutral particle moving in a two dimensional square lattice. First, we analyse the Hamiltonian in absence of magnetic Feld. Then, we observe how the Hamiltonian changes undergoing artifcial and uniform magnetic feld, the so-called Hofstadter model. Finally, we reach the famous energy spectrum given by Hofstadter butterfly[1]
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutora: Nuria Barberán
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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