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Quantum Control Of D-Dimensional Quantum Systems With Application To Alkali Atomic Spins, Seth Merkel
Quantum Control Of D-Dimensional Quantum Systems With Application To Alkali Atomic Spins, Seth Merkel
Physics & Astronomy ETDs
In this dissertation I analyze Hamiltonian control of d-dimensional quantum systems as realized in alkali atomic spins. Alkali atoms provide an ideal platform for studies of quantum control due to the extreme precision with which the control fields are characterized as well as their isolation from their environment. In many cases, studies into the control of atomic spins restrict attention to a 2-dimesional subspace in order to consider qubit control. The geometry of quantum 2-level systems is much simpler than for any larger dimensional Hilbert space, and so control techniques for qubits often are not applicable to larger systems. In …