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Phases, Transitions, Patterns, And Excitations In Generalized Bose-Hubbard Models
This thesis covers most of my work in the field of ultracold atoms loaded in optical lattices. This thesis can be divided into five different parts. In Chapter 1, after a brief introduction to the field of optical lattices ...
Magnetisation, Phases & Phase Transitions in Frustrated and Unfrustrated XY Model
Through our whole work we study the XY model with all its entirety, a particular spin model where spins are confined in a plane. We try to bring out a good understanding of this model with all different types of phases and ...