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Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon (Hardcover, 1st ed. 2021)
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Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon (Hardcover, 1st ed. 2021)
Series: Springer Theses
Expected to ship within 12 - 17 working days
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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.
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