Abstract
We study the coherent control of the shape of an electronic wave packet in a Rydberg atom kicked by two half-cycle pulses. The momentum transferred to excited electrons by the second pulse and its time delay with the first represent two parameters that can be used for shaping the wave packet. We find that rather than working with the momentum transfer, manipulation of the shape using time delay will be more effective in the applicative context. We establish that times of revival and superrevivals of a wave packet in a twice-kicked atom obey a definite law, namely τ=2mn2 (m is an integer and n, the principal quantum number of the electron that receives the initial kick), and are independent of the initial shape of the packet. The revival time is obtained for m=1, and all other values of m give superrevival times.
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