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dc.contributor.advisorOktel, Mehmet Özgüren_US
dc.contributor.authorAybar, Enesen_US
dc.date.accessioned2019-09-12T08:40:35Z
dc.date.available2019-09-12T08:40:35Z
dc.date.copyright2019-09
dc.date.issued2019-09
dc.date.submitted2019-09-10
dc.identifier.urihttp://hdl.handle.net/11693/52425
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Physics, İhsan Doğramacı Bilkent University, 2019.en_US
dc.descriptionIncludes bibliographical references (leaves 35-37).en_US
dc.description.abstractDipolar droplets are a novel form of Bose gas that form in a regime where the mean field theory predicts collapse. In the literature, the beyond mean field e ects in the form of the Lee-Huang-Yang correction to the local chemical potential are used to explain the stability of these droplets. We employ the Hartree-Fock- Bogoliubov theory to include the beyond mean field terms in a systematic manner that also allows finite temperature calculations. In this thesis, we derive the modified Gross-Pitaevskii equation and the Bogoliubov-de Gennes equations, then solve the latter with a local density approximation and the former with a Gaussian variational anzats. We show that Hartree-Fock-Bogoliubov theory reproduces the zero temperature results found in the literature, and indicates that the density profile and the collective oscillation of dipolar droplets depend on the temperature. We find that experimentally relevant temperatures (T 100nK) may significantly alter the transition between low and high density phases, and change the collective oscillation frequencies of the system.en_US
dc.description.statementofresponsibilityby Enes Aybaren_US
dc.format.extentviii, 51 leaves : charts ; 30 cm.en_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDipolar dropletsen_US
dc.subjectHartree-Fock-Bogoliubov theoryen_US
dc.titleTemperature dependent density profiles and collective oscillations of dipolar dropletsen_US
dc.title.alternativeDipolar damlacıkların sıcaklığa bağlı yoğunluk dağılımı ve toplu salınımlarıen_US
dc.typeThesisen_US
dc.departmentDepartment of Physicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB157456


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