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Nuclear spins are highly coherent quantum objects that were featured in early ideas and demonstrations of quantum information processing. In silicon, the high-fidelity coherent control of a single phosphorus (31-P) nuclear spin I=1/2 has demonstrated record-breaking coherence times, entanglement, and weak measurements. In this thesis, we demonstrate the coherent quantum control of a single antimony (123-Sb) donor atom, whose higher nuclear spin I = 7/2 corresponds to eight nuclear spin states. However, rather than conventional nuclear magnetic resonance (NMR), we employ nuclear electric resonance (NER) to drive nuclear spin transitions using localized electric fields produced within a silicon nanoelectronic device. This method exploits an idea first proposed in 1961 but never realized experimentally with a single nucleus, nor in a non-polar crystal such as silicon. We then present a realistic proposal to construct a chaotic driven top from the nuclear spin of 123-Sb. Signatures of chaos are expected to arise for experimentally realizable parameters of the system, allowing the study of the relation between quantum decoherence and classical chaos, and the observation of dynamical tunneling. These results show that high-spin quadrupolar nuclei could be deployed as chaotic models, strain sensors, hybrid spin-mechanical quantum systems, and quantum-computing elements using all-electrical controls.
This research explores the possibility of building a semiconductor-based quantum Hall quantum computer. The aim of this study is to develop the technology to initialize measure and manipulate the spin polarization of nuclei in semiconductor nanostructures which could constitute the quantum bits (qubits) and obtain electrically controlled electron mediated spin interaction between nuclear spin domains. The physical mechanism to be utilized here for the handling of nuclear spins is the hyperfine interaction which will be used to pump- and detect- nuclear polarization via Electrically Detected Electron Spin Resonance (EDESR) under microwave excitation. A hyperfine interaction / EDESR based scheme has the advantage that only nuclei in the immediate vicinity of the relevant confined electrons can via the flip-flop interaction obtain spin polarization from electrons. Thus one can obtain spatial selectivity in the polarization and measurement of spin. Indeed in gated devices where even the presence of electrons can be switched electrically one can then electrically select the ensemble of nuclei that are to obtain polarization and control their number through the choice of gate size. The study will aim to refine and improve the sensitivity of EDESR and EDNMR (Electrically Detected Nuclear Magnetic Resonance) techniques and apply them to progressively smaller structures. The project will also investigate both experimentally and theoretically the nature of electron mediated spin transfer between nuclei and the coherence and relaxation times of spins in nanostructures.
This comprehensive compendium provides information on nearly every U.S. doctoral program in physics and astronomy, plus data on most major master's programs in these fields. Information on many major Canadian programs is also included. In addition, the Graduate Programs directory lists a substantial number of related-field departments, including materials science, electrical and nuclear engineering, meteorology, medical and chemical physics, geophysics, and oceanography. This twenty-eighth annual edition contains information valuable to students planning graduate study and faculty advisors, including each program's research expenditures and sources of support. A number of helpful appendices make navigating the directory a simple task.
This comprehensive compendium provides information on nearly every U.S. doctoral program in physics and astronomy, plus data on most major master's programs in these fields. Information on many major Canadian programs is also included. In addition, the Graduate Programs directory lists a substantial number of related-field departments, including materials science, electrical and nuclear engineering, meteorology, medical and chemical physics, geophysics, and oceanography. This twenty-seventh annual edition contains information valuable to students planning graduate study and faculty advisors, including each program's research expenditures and sources of support. A number of helpful appendices make navigating the directory a simple task.