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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorMorais Smith, Cristiane
dc.contributor.authorComparin, T.
dc.date.accessioned2013-08-16T17:01:46Z
dc.date.available2013-08-16
dc.date.available2013-08-16T17:01:46Z
dc.date.issued2013
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/14087
dc.description.abstractThe Bose-Hubbard model describes the physics of a system of bosonic ultracold atoms in an optical lattice, in which a phase transition is present between a superfluid phase and a Mott insulator one. The exact solution of this Hamiltonian is only feasible to find the ground-state of small systems, while other techniques (as mean-field schemes or quantum Monte Carlo) are necessary to study systems of larger size. As a first application, we study the trapped model - relevant for the comparison with current experiments - through an inhomogeneous mean-field scheme. We describe some signatures of the phase crossover between superfluid and Mott insulator. In particular, the visibility of the quasimomentum distribution shows some kinks as a function of the lattice depth; we describe these features and we link them with the ones observed in other works in the literature. As a second application, we use quantum Monte Carlo techniques to study the one-dimensional Bose-Hubbard model with long-range interactions and we focus on the appearance of the Haldane insulating phase, distinguishable from the Mott one through the presence of non-local hidden order. Non-local correlation functions are also used to describe the difference between the superfluid phase and the Mott insulator one.
dc.description.sponsorshipUtrecht University
dc.format.extent4114675 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleNumerical study of the trapped and extended Bose-Hubbard models
dc.type.contentMaster Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordscold atoms
dc.subject.keywordsoptical lattices
dc.subject.keywordsBose-Hubbard model
dc.subject.keywordsmean-field
dc.subject.keywordsquantum Monte Carlo
dc.subject.courseuuTheoretical Physics


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