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Showing 1 to 13 of 13 for “"Fermi-Hubbard"”.
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Dynamics in a Fermi lattice gas
… in a cubic optical lattice to simulate the Fermi-Hubbard model. The work in this thesis focuses on investigating dynamics in the Fermi-Hubbard model and developing techniques for engineering Hamiltonians beyond the minimal Hubbard model. We discussed three experiments. In the first, we …
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Exact Diagonalization Studies of Strongly Correlated Systems
… strongly correlated systems, ranging from the Fermi-Hubbard model to the fractional quantum Hall effect (FQHE). The discussion starts with an overview of strongly correlated systems and what is meant by strongly correlated. Then, we extend cluster perturbation theory (CPT), an economic method …
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TOWARDS ULTRACOLD FERMIONS IN 2D DISORDERED OPTICAL LATTICES
… many-body physics with ultracold lithium-6 fermions in a two dimensional disordered optical lattice governed by the Fermi-Hubbard model.
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Studies of Integrable One-Dimensional Quantum Systems
… occurrences between the 2-particle XXZ, Bose–Hubbard, and Fermi– Hubbard models. In the next chapter, I introduce ‘quenches’ and use the BA in order to calculate quench overlaps in the Lieb–Liniger model. In the final chapter, I introduce the spatial von Neumann bipartite entanglement entropy …
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Ultracold fermionic atoms in disordered potentials
… to study disorder physics using ultracold fermionic atomic gases. We use this apparatus to realize 3D Anderson localization for the first time for quantum matter waves. We provide the first measurement of how the mobility edge—a hallmark of 3-dimensionality—and of localization lengths …
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Studies of strongly-correlated fermions in an optical lattice
Ultracold fermionic atoms in a disordered optical lattice can realize the disordered Fermi-Hubbard model, allowing investigations of the nature of strongly-correlated fermions in a minimal setting. This thesis describes two such studies. In the first, we observe the momentum relaxation of …
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Transport and disorder-induced localization of ultracold Fermi gases
… study localization and dynamics of ultracold fermions in speckle and optical lattice potentials to explore Anderson localization, many-body localization, and relaxation dynamics in strongly correlated systems. Anderson localization is probed by releasing non-interacting, spin-polarized gases …
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Fermion pairing and correlations under a quantum gas microscope
… phases of quantum matter built from ultracold fermionic atoms trapped in an optical lattice, experimentally realizing the Fermi-Hubbard model. These fermionic atoms develop strong correlations as they tunnel and interact in the lattice potential. Using a novel bilayer quantum gas microscope, we …
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Optical investigation of many-body interactions in transition metal dichalcogenide heterostructures
… tightly bound excitons dressed by a gate-tunable Fermi sea form exciton-polarons, which are sensitive to Coulomb and spin interactions. In addition, TMD moir´e devices provide a highly tunable platform to study strongly correlated electronic states. This thesis describes the use of magneto-optical …
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Nonreciprocal phenomena in superconductivity
… field, described by a triangular-lattice Fermi-Hubbard model in the limit of strong interaction. This is relevant for many novel materials, such as moiré transition metal dichalcogenides bilayers. We predict a new bound state, spin polaron, formed by binding a doped hole with a magnon …
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Quantum gas microscopy of strongly correlated fermions
This thesis describes experiments on ultracold fermionic atoms, and can be divided into two areas. The first concerns spin-orbit coupling; the second concerns quantum gas microscopy. With the use of Raman transitions, ID spin-orbit coupling of ultracold 6Li was realized. Using a novel type of …
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A next-generation apparatus for lithium optical lattice experiments
… matter systems, in particular the physics of the Fermi-Hubbard model, using ultracold Lithium atoms in an optical lattice. A major goal of the quantum simulation program is to observe phase transitions of the Hubbard model, into Néel antiferromagnetic phases and d-wave superfluid phases. Phase …
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Quantum simulation in strongly correlated optical lattices
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-07-20T15:57:21Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 3 thesis.bib: 93320 bytes, checksum: cc18186d831e1c8c8f0b0d694dddb2fe (MD5) thesis.tex: 978906 bytes, checksum: …