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    Studies of Integrable One-Dimensional Quantum Systems


    Keenan, Nathan (2021) Studies of Integrable One-Dimensional Quantum Systems. Masters thesis, National University of Ireland Maynooth.

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    Abstract

    In this thesis, I use the Bethe Ansatz (BA) to study various one-dimensional models. I first go through some background on the BA (both the coordinate and algebraic forms). I start the study by using the BA to compare bound state occurrences between the 2-particle XXZ, Bose–Hubbard, and Fermi– Hubbard models. In the next chapter, I introduce ‘quenches’ and use the BA in order to calculate quench overlaps in the Lieb–Liniger model. In the final chapter, I introduce the spatial von Neumann bipartite entanglement entropy and use the BA in order to calculate this entropy in the Lieb–Liniger model.

    Item Type: Thesis (Masters)
    Keywords: Integrable; One-Dimensional; Quantum; Systems;
    Academic Unit: Faculty of Science and Engineering > Theoretical Physics
    Item ID: 14950
    Depositing User: IR eTheses
    Date Deposited: 21 Oct 2021 12:08
    URI:

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