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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: | https://mu.eprints-hosting.org/id/eprint/14950 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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