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dc.contributor.advisorChapman, Michael S.
dc.contributor.authorAnquez, Martin
dc.date.accessioned2016-01-07T17:25:18Z
dc.date.available2016-01-07T17:25:18Z
dc.date.created2015-12
dc.date.issued2015-11-16
dc.date.submittedDecember 2015
dc.identifier.urihttp://hdl.handle.net/1853/54385
dc.description.abstractThe Kibble-Zurek mechanism (KZM) primarily characterizes scaling in the formation of topological defects when a system crosses a continuous phase transition. The KZM was first used to study the evolution of the early universe, describing the topology of cosmic domains and strings as the symmetry-breaking phase transitions acted on the vacuum fields during the initial cooling. A ferromagnetic spin-1 $^{87}$Rb Bose-Einstein condensate (BEC) exhibits a second-order gapless quantum phase transition due to a competition between the magnetic and collisional spin interaction energies. Unlike extended systems where the KZM is illustrated by topological defects, we focus our study on the temporal evolution of the spin populations and observe how the scaling of the spin dynamics depend on how fast the system is driven through the critical point. In our case, the excitations are manifest in the temporal evolution of the spin populations illustrating a Kibble-Zurek type scaling, where the dynamics of slow quenches through the critical point are predicted to exhibit universal scaling as a function of quench speed. The KZM has been studied theoretically and experimentally in a large variety of systems. There has also been a tremendous interest in the KZM in the cold atoms community in recent years. It has been observed not only in ion chains and in atomic gases in optical lattices, but also in Bose gases through the formation of vortices or solitons. The KZM in the context of crossing the quantum phase transition in a ferromagnetic BEC has been theoretically studied, but this thesis is the first experimental investigation of this phenomenon.
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherGeorgia Institute of Technology
dc.subjectBose-Einstein condensate
dc.subjectBEC
dc.subjectKibble-Zurek mechanism
dc.subjectKZM
dc.subjectQuantum phase transition
dc.subjectSpinor
dc.titleKibble-Zurek mechanism in a spin-1 Bose-Einstein condensate
dc.typeDissertation
dc.description.degreePh.D.
dc.contributor.departmentPhysics
thesis.degree.levelDoctoral
dc.contributor.committeeMemberLaguna, Pablo
dc.contributor.committeeMemberKennedy, Brian
dc.contributor.committeeMemberFirst, Phillip
dc.contributor.committeeMemberAmini, Jason M.
dc.date.updated2016-01-07T17:25:18Z


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