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National University of Ireland Maynooth
Studies of Integrable One-Dimensional Quantum Systems
Abstract
dc:description.abstractIn 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.
Degree
thesis:*- Level dc:type.qualificationlevel
- masters
- Grantor dc:publisher.institution
- National University of Ireland Maynooth
- Year dc:date.issued
- 2021
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Keenan, Nathan
Rights
- Language dc:language
- en