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

Preview

Download (912kB) | Preview

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:
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

Repository Staff Only(login required)

Item control page

Downloads

Origin of downloads