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

Kamran Rehan1,2,3,*, Hengchao Tu2, Tadeu Tassis4,5, Menglin Zou2, Zihan Yin2, Jing-Ning Zhang1, Fernando L. Semião4,†, and Kihwan Kim1,2,6,7,8,‡

  • *Contact author: krehan2010@yahoo.com
  • †Contact author: semiao@gmail.com
  • ‡Contact author: kimkihwan@ibs.re.kr

Phys. Rev. Research 8, 033214 – Published 20 August, 2026

DOI: https://doi.org/10.1103/r8dp-52s2

Abstract

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=nν (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 δ2+Ω2=ν2, reflecting the strong underlying spin-motion hybridization characteristic of the strong-driving regime.

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