Semiclassical theory of Rydberg-wave-packet interferometry
Mark Mallalieu and C. R. Stroud, Jr.
Phys. Rev. A 51, 1827 (1995).
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A semiclassical approximation is derived from the autocorrelation function
describing the excitation and detection of Rydberg wave packets by pairs of
phase-locked laser pulses. The resulting expression is in terms of a sum
over Kepler trajectories, and provides a direct explanation of the
periodicity and spreading of the wave packet at short times when the
evolution is classical. More surprisingly, this solution also provides an
accurate description of the complex revival behavior of the wave packets,
which is nonclassical. The phases of the wave packets, which are detected
by the pulse-locking scheme, are also accurately given by analytical
expressions derived from the semiclassical sum. The phase of the wave
packets at short times have a simple interpretation as the phases of
Bohr-Sommerfeld, and are related to Berry's phase. The semiclassical
expression for the phases of the nonclassical revival wave packets is
simpler than the corresponding quantal solution.
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