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dc.contributor.advisorSudbø, Asle
dc.contributor.authorSolli, Sigve
dc.date.accessioned2017-08-01T14:00:28Z
dc.date.available2017-08-01T14:00:28Z
dc.date.created2017-06-18
dc.date.issued2017
dc.identifierntnudaim:16855
dc.identifier.urihttp://hdl.handle.net/11250/2449645
dc.description.abstractThe excitation spectrum of a spin-orbit coupled Bose-Einstein condensate is investigated by the use of the Bose-Hubbard model and a mean-field approach. The undiagonalized Hamiltonian matrix for a general inversion-symmetric Bravais lattice is found. Analytical expressions for the excitation spectrum is then found in the limiting case of on-site interactions and nearest-neighbor hopping on a one-dimensional chain and a two-dimensional quadratic lattice. The densities of particles in the ground state acting as mean-field parameters are found self-consistently by minimization of the free energy, and they are seen to be in agreement with published literature.
dc.languageeng
dc.publisherNTNU
dc.subjectFysikk og matematikk, Teknisk fysikk
dc.titleInvestigating the excitation spectrum of a spin-orbit coupled Bose-Einstein condensate
dc.typeMaster thesis


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