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Identifier 000446619
Title Liouville-Neumann series approach to the Lieb-Liniger model
Alternative Title Προσέγγιση του μοντέλου Lieb-Liniger με σειρά Liouville-Neumann
Author Κορμέντζας, Αλέξανδρος-Διονύσιος Γ.
Thesis advisor Ζώτος, Ξενοφών
Abstract This master thesis is organized as follows. In Section 2, we present a derivation of the Bethe ansatz for the Lieb- Liniger Bose gas. We explore the limits of the model, from weak to strong coupling, providing insight on the various cases of excitations and interactions that commonly occur, discussing the model’s spectrum. In Section 3, we present a phase diagram for the model and give an in depth review of the Yang-Yang thermodynamics method, which we then use to extract results for the various limiting thermodynamic cases of the model, namely the different temperature and interaction strength regimes. In Section 4, we briefly discuss Generalized Hydrodynamics and its impact as a newly developed theory, presenting an application of it on the Lieb-Liniger model.
Language English
Subject Bose gas
Condensed matter
Συμπυκνωμένη ύλη
Issue date 2022-04-01
Collection   School/Department--School of Sciences and Engineering--Department of Physics--Post-graduate theses
  Type of Work--Post-graduate theses
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