A time frequency analysis of wave packet fractional revivals

Details A time frequency analysis of wave packet fractional revivals A time frequency analysis of wave packet fractional revivals

2007-06-11

arxiv.org/abs/0706.1576v1

J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 3545--3553

Physics

Quantum Physics

9 pages, 4 figures

Scientific paper

10.1088/0953-4075/40/17/021

We show that the time frequency analysis of the autocorrelation function is, in many ways, a more appropriate tool to resolve fractional revivals of a wave packet than the usual time domain analysis. This advantage is crucial in reconstructing the initial state of the wave packet when its coherent structure is short-lived and decays before it is fully revived. Our calculations are based on the model example of fractional revivals in a Rydberg wave packet of circular states. We end by providing an analytical investigation which fully agrees with our numerical observations on the utility of time-frequency analysis in the study of wave packet fractional revivals.

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