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Abstract: 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 wavepacket than the usual time domain analysis. This advantage is crucial inreconstructing the initial state of the wave packet when its coherent structureis short-lived and decays before it is fully revived. Our calculations arebased on the model example of fractional revivals in a Rydberg wave packet ofcircular states. We end by providing an analytical investigation which fullyagrees with our numerical observations on the utility of time-frequencyanalysis in the study of wave packet fractional revivals.



Author: Suranjana Ghosh, J. Banerji

Source: https://arxiv.org/



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