EXPERIMENTS WITH DISPERSION ENGINEERED BOSE-EINSTEIN CONDENSATES: RAMAN DRESSING AND NOVEL OPTICAL LATTICES
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This thesis aims at the investigation of complex condensed matterphenomena using quantum degenerate ultra-cold atomic gases as awell-controlled model system. The phenomena range from a novelspin-momentum coupling and periodic optical potentials, to meanfield anti-ferromagnetic like ordering. Additionally the status ofthe implementation of a novel multi-dimensional opticalsuper-lattice is reported.The first set of experiments presented in this thesis employ a Ramandressing scheme to realize spin-orbit coupling in a BEC. Anunderstanding of the dynamic processes associated with this couplingis developed starting from the single particle level. After this,the many body ground state of the system is investigated and isfound to provide an intriguing mapping to the Dicke model known fromquantum optics. Next, the Raman dressing is combined with a weakmoving optical lattice. This leads to a more complex band structurethat is experimentally probed by exciting dynamical instabilities ofthe system. The combination of the Raman dressing with opticallattices has the potential to realize systems with large effectivemagnetic flux and novel phases. Finally, following a previous lineof research in the WSU BEC group, novel dynamics due to the spatialRabi winding of an elongated two-component BEC are presented.The experiments are conducted with an experimental apparatus builtat WSU. To facilitate the studies of this thesis, a number of newtools have been installed in the setup, such as multi-dimensionaloptical lattices, precision magnetic field control, and a Ramanlaser system. Details of these technological advances will bedescribed together with the scientific results that they haveenabled.