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Most classical dynamical systems are chaotic. The trajectories of twoidentical systems prepared in infinitesimally different initial conditionsdiverge exponentially with time. Quantum systems, instead, exhibitquasi-periodicity due to their discrete spectrum. Nonetheless, the dynamics ofquantum systems whose classical counterparts are chaotic are expected to showsome features that resemble chaotic motion. Among the many controversialaspects of the quantum-classical boundary, the emergence of chaos remains amongthe least experimentally verified. Time-resolved observations of quantumchaotic dynamics are particularly rare, and as yet unachieved in a singleparticle, where the subtle interplay between chaos and quantum measurementcould be explored at its deepest levels. We present here a realistic proposalto construct a chaotic driven top from the nuclear spin of a single donor atomin silicon, in the presence of a nuclear quadrupole interaction. This system isexquisitely measurable and controllable, and possesses extremely long intrinsicquantum coherence times, allowing for the observation of subtle dynamicalbehavior over extended periods. We show that signatures of chaos are expectedto arise for experimentally realizable parameters of the system, allowing thestudy of the relation between quantum decoherence and classical chaos, and theobservation of dynamical tunneling.

Exploring quantum chaos with a single nuclear spin