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Periodic table of ordinary and supersymmetric Sachdev-Ye-Kitaev modelsSun, Fadi 07 August 2020 (has links)
This dissertation is devoted to investigation of quantum chaos in the Sachdev-Ye-Kitaev (SYK) and supersymmetric SYK models. First, a unified minimal scheme is developed to classify quantum chaos in the SYK and supersymmetric SYK models and also work out the structure of the energy levels in one periodic table. The SYK with even q-body or supersymmetric SYK with odd q-body interaction, with N even or odd number of sites, are put on an equal footing in the minimal Hilbert space; N (mod 8), q (mod 4) double Bott periodicity, and a reflection relation are identified. Then, exact diagonalizations are performed to study both the bulk energy level statistics and hard-edge behaviors. Excellent agreements between the exact diagonalization results and the symmetry classifications are demonstrated. This compact and systematic method can be transformed to map out more complicated periodic tables of SYK models with more degrees of freedom, tensor models, or symmetry protected topological phases.
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ANALYSIS OF ELECTRICAL AND MAGNETIC BIO-SIGNALS ASSOCIATED WITH MOTOR PERFORMANCE AND FATIGUEYao, Bing 27 February 2006 (has links)
No description available.
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Electroconvection and Pattern Formation in Nematic Liquid CrystalsAcharya, Gyanu R. 15 April 2009 (has links)
No description available.
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Harmony from Chaos? Investigations in Aperiodic Visual-Motor and Interpersonal CoordinationWashburn, Auriel 17 October 2014 (has links)
No description available.
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Development of an Objective Method to Discriminate between Parkinson's Disease Patients with and without a History of FallsMani, Ashutosh January 2014 (has links)
No description available.
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A Unified, Multifidelity Quasi-Newton Optimization Method with Application to Aero-Structural DesignBryson, Dean Edward 20 December 2017 (has links)
No description available.
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Secure Encryption and Decryption by Aperture Variations of a Photodetector in an Acousto-Optic Bragg CellChaparala, Suman Krishna 08 September 2016 (has links)
No description available.
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A Study of the Behavior of Chaos AutomataWilson, Deborah Ann Stoffer 14 November 2016 (has links)
No description available.
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Effects of Household Chaos and Preschool Childcare Quality on Child Social Competence for School ReadinessJeon, Lieny 30 August 2010 (has links)
No description available.
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Steady State and Dynamical Properties of an Impurity in a BEC in a Double Well PotentialMumford, Jesse D. 10 1900 (has links)
<p>The subject of this work is the theoretical analysis of the mean-field and many-body properties of an impurity in a Bose-Einstein condensate in a double well potential. By investigating the stationary mean-field properties we show that a critical value of the boson-impurity interaction energy, W<sub>c</sub>, corresponds to a pitchfork bifurcation in the number difference variable in the mean-field theory. Comparing W<sub>c</sub> to the value of W where the many-body ground state wave function begins to split shows a direct correlation signaling a connection between the many-body and mean-field theories. Investigation of the mean-field dynamics shows that chaos emerges for W > W<sub>c</sub> in the vicinity of an unstable equilibrium point generated by the pitchfork bifurcation. An entropy is defined to quantify the chaos and compared to the entanglement entropy between the BEC and the impurity. The mean-field entropy shows a large gradient at W<sub>c</sub> whereas the entanglement entropy shows no apparent features around the same value of W. An increase in correlations between nearest neighbour many-body eigenvalues is seen as W is increased providing evidence for ``quantum chaos''.</p> / Master of Science (MSc)
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