Investigating the excitation spectrum of a spin-orbit coupled Bose-Einstein condensate
dc.contributor.advisor | Sudbø, Asle | |
dc.contributor.author | Solli, Sigve | |
dc.date.accessioned | 2017-08-01T14:00:28Z | |
dc.date.available | 2017-08-01T14:00:28Z | |
dc.date.created | 2017-06-18 | |
dc.date.issued | 2017 | |
dc.identifier | ntnudaim:16855 | |
dc.identifier.uri | http://hdl.handle.net/11250/2449645 | |
dc.description.abstract | The 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.language | eng | |
dc.publisher | NTNU | |
dc.subject | Fysikk og matematikk, Teknisk fysikk | |
dc.title | Investigating the excitation spectrum of a spin-orbit coupled Bose-Einstein condensate | |
dc.type | Master thesis |
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Institutt for fysikk [2646]