Realization of trapped ion dynamics in the strong-field regime and non-Markovianity

This is the authors' abstract. We don't add key points for this paper.

We experimentally investigate trapped ion dynamics in the strong-driving regime, where the Rabi frequency Ω is comparable to the vibrational mode frequency ν . In the conventional weak-driving regime ( Ω ≪ ν ), the dynamics is well described by effective Hamiltonians for the carrier and motional sidebands, associated with detunings δ = n ν ( n = 0 , ± 1 , ... ). In the strong-driving regime ( Ω ∼ ν ), these interactions can no longer be treated independently. We characterize this physics through the reduced dynamics of the qubit, where non-Markovian behavior emerges as an operational probe of the spin-motion coupling. We observe a structured non-Markovian response, with well-defined maxima that follow the generalized resonance condition δ 2 + Ω 2 = ν 2 , reflecting the strong underlying spin-motion hybridization characteristic of the strong-driving regime.