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Phases of the one-dimensional Bose-Hubbard model

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutor: Bruno Juliá Díaz

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We study the ground state phases of the one-dimensional Bose-Hubbard model. To do so, we employ the inﬁnite time evolving block decimation (iTEBD) method, a tensor network based algorithm, which enables us to obtain a good approximation of the ground state of an inﬁnite one-dimensional lattice. This method allows us to characterize the diﬀerent phases and the transition between them

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Phases of the one-dimensional Bose-Hubbard model