Dephasing due to nuclear spins in large-amplitude electric dipole spin resonance

Abstract

We have analyzed effects of the hyperfine interaction on electric dipole spin resonance when the amplitude of the quantum-dot motion becomes comparable or larger than the quantum dot's size. Away from the well known small-drive regime, the important role played by transverse nuclear fluctuations leads to a gaussian decay with characteristic dependence on drive strength and detuning. A characterization of spin-flip gate fidelity, in the presence of such additional drive-dependent dephasing, shows that vanishingly small errors can still be achieved at sufficiently large amplitudes. Based on our theory, we analyze recent electric-dipole spin resonance experiments relying on spin-orbit interactions or the slanting field of a micromagnet. We find that such experiments are already in a regime with significant effects of transverse nuclear fluctuations and the form of decay of the Rabi oscillations can be reproduced well by our theory.

6 pages, 4 figures

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• Superradiant-like dynamics by electron shuttling on a nuclear-spin island
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Dynamical nuclear spin polarization in a quantum dot with an electron spin driven by electric dipole spin resonance
• Fully tunable hyperfine interactions of hole spin qubits in Si and Ge quantum dots