Decay of Rabi oscillations by dipolar-coupled dynamical spin environments
V. V. Dobrovitski, A. E. Feiguin, R. Hanson, D. D. Awschalom

TL;DR
This paper analyzes how dipolar interactions within a spin bath influence the decay of Rabi oscillations, providing analytical and numerical insights into the decay dynamics and their dependence on intra-bath coupling.
Contribution
It offers a novel analytical and numerical study of Rabi oscillation decay caused by dipolar-coupled spin environments, revealing non-monotonic decay behavior.
Findings
Decay form varies non-monotonically with intra-bath coupling
Decay does not follow exponential, Gaussian, or power-law forms
Decay rate can be used to estimate intra-bath coupling strength
Abstract
We investigate the Rabi oscillations decay of a spin decohered by a spin bath whose internal dynamics is caused by dipolar coupling between the bath spins. The decay form and rate as a function of the intra-bath coupling is studied analytically, and confirmed numerically. The decay in general has neither exponential/Gaussian or power-law form, and changes non-monotonically with the intra-bath coupling, decelerating for both slow and fast baths. The form and rate of Rabi oscillations decay can be used to experimentally determine the intra-bath coupling strength for a broad class of solid-state systems.
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