Titlebook: Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices; Models and Simulatio Michael L. Wall Book 2015 Springer International

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Emergent Timescales in Entangled Quantum Dynamics of Ultracold Molecules in Optical Latticesin their absolute ground state in a quasi-one-dimensional optical lattice. The MHH is explicitly time dependent, making a dynamic generalization of the concept of quantum phase transitions necessary. Using the time-evolving block decimation (TEBD) algorithm to study entangled dynamics, we demonstrat

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Emergent Timescales in Entangled Quantum Dynamics of Ultracold Molecules in Optical Latticeslline order appears and oscillations between rotational states self-damp into an asymptotic superposition. We show that these timescales are non-monotonic functions of the physical parameters describing the lattice.

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Microscopic Model for Feshbach Interacting Fermions in an Optical Lattice with Arbitrary Scattering annel situations or higher-. pairing. In strong contrast to usual Hubbard physics, we find that pair hopping is significantly altered by strong interactions and the presence of the lattice, and the lattice induces multiple molecular bound states.

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2190-5053 one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods.978-3-319-36341-7978-3-319-14252-4Series ISSN 2190-5053 Series E-ISSN 2190-5061

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Hyperfine Molecular Hubbard Hamiltoniantrol the number of internal states involved in the dynamics as well as the degree of correlation between the spatial and internal degrees of freedom. The HMHH’s unique features have direct experimental consequences such as quantum dephasing, tunable complexity, and the dependence of the phase diagram on the molecular state.

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