{"id":{"repo_id":"maynooth","oai_identifier":"oai:mural.maynoothuniversity.ie:14950"},"canonical_url":"https://search.dev.ndltd.org/etd/maynooth/oai:mural.maynoothuniversity.ie:14950","repository":{"repo_id":"maynooth","name":"National University of Ireland - Maynooth","base_url":"http://mural.maynoothuniversity.ie/cgi/oai2"},"display":{"title":"Studies of Integrable One-Dimensional Quantum Systems","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Keenan, Nathan"],"institution":"National University of Ireland Maynooth","degree_name":null,"degree_level":"masters","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021","date_published":"2021","updated_at":"2026-07-24T03:03:10Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Keenan, Nathan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2021"]},{"key":"dc:date.issued","label":"Date","values":["2021"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["National University of Ireland Maynooth"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://mural.maynoothuniversity.ie/id/eprint/14950/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["masters"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://mural.maynoothuniversity.ie/id/eprint/14950/1/Thesis.pdf.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:format","label":"Dc Format","values":["text"]},{"key":"dc:title","label":"Title","values":["Studies of Integrable One-Dimensional Quantum Systems"]}]}],"canonical_facts":{"dc:creator":["Keenan, Nathan"],"dc:date":["2021"],"dc:date.issued":["2021"],"dc:description.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."],"dc:format":["text"],"dc:identifier.uri":["https://mural.maynoothuniversity.ie/id/eprint/14950/1/Thesis.pdf.pdf"],"dc:language":["en"],"dc:publisher.institution":["National University of Ireland Maynooth"],"dc:relation.isreferencedby":["https://mural.maynoothuniversity.ie/id/eprint/14950/"],"dc:title":["Studies of Integrable One-Dimensional Quantum Systems"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["masters"]},"updated_at":"2026-07-24T03:03:10Z"}