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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

Thermodynamics

Yang-Yang

Αέριο

Θερμοδυναμική

Μποζόνια

Συμπυκνωμένη ύλη

Issue date