{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Two-Component Bosons in State-Dependent Optical Lattices","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree."},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/1951/60213"},{"label":"dc.language.iso","value":"en_US"},{"label":"dc.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.abstract","value":"Ultracold atoms in optical \nlattices provide a highly controllable environment for the clean experimental realization of various model Hamiltonians from condensed matter and \nstatistical physics. For example, the two-component Bose-Hubbard model, which reduces to an anisotropic spin-1/2 Heisenberg model in a certain limit and \nthus allows for the study of quantum magnetism, can be implemented by using bosons with two different internal states that couple differently to an optical \nlattice potential. In this thesis, I present our first experiments with two-component hyperfine-state mixtures of ultracold \n<super>87</super>Rb atoms in a state-dependent optical lattice, both in the strongly correlated regime and in the context of nonlinear atom \noptics. For the production of <super>87</super>Rb Bose-Einstein condensates we have developed a moving-coil transporter apparatus featuring \na magnetic TOP trap which serves as a 'phase-space funnel' to load a crossed optical dipole trap. The apparatus further incorporates a three-dimensional \noptical lattice setup with simultaneously usable hyperfine state-dependent and state-independent lattice beams of different spacing along the vertical \naxis. Internal state control is performed via rf and microwave Rabi pulses and Landau-Zener sweeps. As a first step towards studying strongly correlated \ntwo-component mixtures, we have realized a state-selective superfluid-to-Mott insulator transition, where one component enters the Mott insulator regime, \nwhile the other one stays superfluid. Using the state-dependent lattice we can tune the second component's properties from highly superfluid to strongly \nlocalized. At both extremes we find a reduction of the coherence of the primary component, i.e. a shift of the Mott transition to smaller values of the \nratio U/t of interaction to tunneling. We ascribe this to a polaron-like dressing on the one hand, and a 'quantum emulsion' causing a disordered atomic \nbackground potential on the other hand. Further, we have observed and studied four-wave mixing of two-component matter waves. Using state-selective \nKapitza-Dirac diffraction of a two-component BEC, we prepare seed and pump modes differing both in momentum and internal state. A novel collinear four-wave \nmixing process then populates the initially empty output modes. While this process can complicate studies of bosonic mixtures loaded into state-dependent \noptical lattices, it might prove useful for possible applications in quantum atom optics."},{"label":"dcterms.available","value":"2013-05-24T16:38:14Z"},{"label":"dcterms.contributor","value":"Schneble, Dominik A"},{"label":"dcterms.creator","value":"Pertot, Daniel Alexander"},{"label":"dcterms.dateAccepted","value":"2015-04-24T14:45:34Z"},{"label":"dcterms.dateSubmitted","value":"2013-05-24T16:38:14Z"},{"label":"dcterms.description","value":"Department of Physics"},{"label":"dcterms.extent","value":"110 pg."},{"label":"dcterms.format","value":"Application/PDF"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/1951/60213"},{"label":"dcterms.issued","value":"2011-08-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2013-05-24T16:38:14Z (GMT). No. of bitstreams: 1\nStonyBrookUniversityETDPageEmbargo_20130517082608_116839.pdf: 41286 bytes, checksum: 425a156df10bbe213bfdf4d175026e82 (MD5)\n  Previous issue date:    1"},{"label":"dcterms.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.subject","value":"Bose-Einstein condensation, magnetic traps for neutral atoms, matter-wave four-wave mixing, \nquantum phase transitions, state-dependent optical lattices, two-component Bose-Hubbard model"},{"label":"dcterms.title","value":"Two-Component Bosons in State-Dependent Optical Lattices"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/26%2F30%2F36%2F2630369345895831398460094624766000648/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/26%2F30%2F36%2F2630369345895831398460094624766000648","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}