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We investigate superradiant-like dynamics of the nuclear-spin bath in asingle-electron quantum dot, by considering electrons cyclically shuttlingon/off an isotopically enriched `nuclear-spin island'. Assuming a uniformhyperfine interaction, we discuss in detail the nuclear spin evolution undershuttling and its relation to superradiance. We derive the minimum shuttlingtime which allows to escape the adiabatic spin evolution. Furthermore, wediscuss slow/fast shuttling under the inhomogeneous field of a nearbymicromagnet. Finally, by comparing our scheme to a model with stationaryquantum dot, we stress the important role played by non-adiabatic shuttling inlifting the Coulomb blockade and thus establishing the superradiant-likebehavior.

Superradiant-like dynamics by electron shuttling on a nuclear-spin island