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dc.contributor.advisorBlakie, Peter Blair
dc.contributor.authorSymes, Luke
dc.date.available2014-10-30T02:50:17Z
dc.date.copyright2014
dc.identifier.citationSymes, L. (2014). Fluctuations in Spin-1 Bose-Einstein Condensates (Thesis, Master of Science). University of Otago. Retrieved from http://hdl.handle.net/10523/5091en
dc.identifier.urihttp://hdl.handle.net/10523/5091
dc.description.abstractUltra-cold spinor Bose gases present rich physics due to the special combination of superfluidity and magnetism in a quantum system. This system was first realized in 1998 by confining a Bose-Einstein condensate in an all-optical trap. In this thesis, we consider the fluctuations of observable quantities in a spin-1 Bose gas. Understanding how fluctuations arise due to the spin excitations of the condensate is important because it offers an insight into how measurement noise reveals the many-body physics of the system. To begin, we present the mean-field and Bogoliubov theory of a uniform spin-1 Bose gas subject to a constant magnetic field, describing the condensate and its low-energy collective excitations. We then develop a formalism to describe the fluctuations in a general density-like observable. We start from the two-point correlation function and cast it in the form of a generalised static structure factor determined by the three Bogoliubov quasiparticle excitation branches. We derive analytic results for the fluctuation amplitudes and the temperature-dependent static structure factors for observables of total density and the three spin densities. For all four magnetic phases, we analyse the spinor order parameter and quasiparticle spectra while numerically mapping out the fluctuation amplitudes and static structure factors for the total and spin density operators. We describe the fluctuations in experimental measurements made within finite cells, which is an important step to making meaningful predictions for experiments. We consider cylindrical cells and gaussian cells as two limiting cases. We apply this analysis to an experimentally realisable system of a quasi-2D spinor gas in a harmonic trap, comparing extensive numeric results with analytic limits.
dc.language.isoen
dc.publisherUniversity of Otago
dc.rightsAll items in OUR Archive are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectBose-Einstein
dc.subjectcondensate
dc.subjectspinor
dc.subjectBose
dc.subjectquantum gas
dc.subjectBogoliubov
dc.subjectfluctuations
dc.subjectstructure factor
dc.subjectspin-1
dc.subjectquasi-2D
dc.subjectmean-field
dc.titleFluctuations in Spin-1 Bose-Einstein Condensates
dc.typeThesis
dc.date.updated2014-10-30T01:54:09Z
dc.language.rfc3066en
thesis.degree.disciplinePhysics
thesis.degree.nameMaster of Science
thesis.degree.grantorUniversity of Otago
thesis.degree.levelMasters
otago.interloanno
otago.openaccessAbstract Only
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