Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems

Roberto Grimaudo, Antonio Sérgio Magalhães de Castro, Hiromichi Nakazato, Antonino Messina

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    8 Citations (Scopus)


    The exact quantum dynamics of a single spin-1/2 in a generic time-dependent classical magnetic field are investigated and compared with the quantum motion of a spin-1/2 studied by Rabi and Schwinger. The possibility of regarding the scenario studied here as a generalization of that considered by Rabi and Schwinger is discussed and the notion of a time-dependent resonance condition is introduced and carefully legitimated and analyzed. Several examples help to disclose analogies and departures of the quantum motion induced in a generalized Rabi system with respect to that exhibited by the spin-1/2 in a magnetic field precessing around the z-axis. It is found that, under a generalized resonance condition, the time evolution of the transition probability P+ (t) between the two eigenstates of Ŝz may be dominated by a regime of distorted oscillations, or may even exhibit a monotonic behavior. At the same time, the authors succeed in predicting asymptotic behaviors with no oscillations in the time-dependence of P+ (t) under general conditions. New scenarios of experimental interest originating a Landau–Zener transition are brought to light.

    Original languageEnglish
    Article number1800198
    JournalAnnalen der Physik
    Publication statusAccepted/In press - 2018 Jan 1


    • exact single-qubit dynamics
    • exactly solvable time-dependent models
    • semiclassical Rabi model

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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    Grimaudo, R., Magalhães de Castro, A. S., Nakazato, H., & Messina, A. (Accepted/In press). Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems. Annalen der Physik, [1800198].