Mixtures of charged-neutral superfluids

buir.advisorOktel, Mehmet Özgür
dc.contributor.authorÜnal, Fatmanur
dc.date.accessioned2017-01-02T08:04:48Z
dc.date.available2017-01-02T08:04:48Z
dc.date.copyright2016-12
dc.date.issued2016-12
dc.date.submitted2016-12-27
dc.departmentDepartment of Physicsen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (Ph.D.): Bilkent University, Department of Physics, İhsan Doğramacı Bilkent University, 2016.en_US
dc.descriptionIncludes bibliographical references (leaves 68-78).en_US
dc.description.abstractMotivated by the developments of artificial magnetic fields (AMFs) enabling cou- pling to the neutral particles of ultracold quantum gases, we have theoretically studied charged-neutral mixtures in various settings. The techniques that have been used to manufacture these AMFs are highly sensitive to the internal de- grees of freedom of the atoms, resulting in unequal coupling to the components of a mixture. We demonstrate the possible consequences of this unequal coupling by considering two different systems. First, we examine an impurity problem in a fermion background under an AMF coupling selectively to the impurity in a ring trap. We calculate the response of the system exactly by using Bethe Ansatz and argue that the AMF can be employed as a probe to analyze polaron formation. Secondly, we explore Bardeen-Cooper-Schrieffer theory of supercon- ductivity in the presence of a charge imbalance under an AMF. We analytically calculate the gap equation for any degree of asymmetry between the Landau level spectra of up and down spin particles, and show that the system displays reentrant superconductivity both in magnetic field and temperature. Apart from mixtures, we also investigate the non-equilibrium Hall response of a topological system. The strength of an AMF applied on a optical lattice can be suddenly changed without creating Eddy currents, allowing us to quench the system across a topological phase boundary. We report a fractional Hall response for the result- ing non-equilibrium system and discuss possible implementations for cold atom experiments.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityby Fatmanur Ünal.en_US
dc.format.extentxiv, 79 leaves : charts (some color).en_US
dc.identifier.itemidB154950
dc.identifier.urihttp://hdl.handle.net/11693/32598
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectUltacold atomsen_US
dc.subjectArtificial gauge fieldsen_US
dc.subjectBethe Ansatzen_US
dc.subjectPolaronen_US
dc.subjectBCS theoryen_US
dc.subjectHigh-field superconductivityen_US
dc.subjectTwo-channel modelen_US
dc.subjectTopological phasesen_US
dc.subjectHaldane modelen_US
dc.subjectNon-equilibrium hall responseen_US
dc.titleMixtures of charged-neutral superfluidsen_US
dc.title.alternativeYüklü-yüksüz süperakışkan karışımlaren_US
dc.typeThesisen_US

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