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Fractional Model of a Pulsed-Driven Qubit
H. A. Batarfi

A model of Bloch differential equations for a pulsed-driven qubit is presented in a fractional type of order α; 0 < α < 1 for different laser pulses, namely, rectangular, exponential, sin2 and Gaussian pulses. Exact transient atomic behaviour is examined and compared with the ordinary derivative case (α = 1). For monotonic behaviour (that is associated with the pulse shape), there is an exchange of slowing-down and speeding-up processes at (normalised) time τc = (1/(α + 1))1/(1−α).

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