Abstract
A model of Bloch differential equations for a pulsed-driven qubit is presented in a fractional type of order alpha; 0 < alpha < 1 for different laser pulses, namely, rectangular, exponential, sin(2) and Gaussian pulses. Exact transient atomic behaviour is examined and compared with the ordinary derivative case (alpha = 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 tau(c) = ( 1/ Gamma( alpha + 1))(1 /(1-alpha)).