Fractional revivals through Rényi uncertainty relations

Abstract

We show that the Rényi uncertainty relations give a good description of the dynamical behavior of wave packets and constitute a sound approach to revival phenomena by analyzing three model systems: the simple harmonic oscillator, the infinite square well, and the quantum bouncer. We prove the usefulness of entropic uncertainty relations as a tool for identifying fractional revivals by providing a comparison in different contexts with the usual Heisenberg uncertainty relation and with the common approach in terms of the autocorrelation function.

6 pages, 4 figures

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Cited by in corpus (4)

• Entropic uncertainty relations and topological-band insulator transitions in 2D gapped Dirac materials
• Fisher-Shannon product and quantum revivals in wavepacket dynamics
• Fisher information, nonclassicality and quantum revivals
• Application of new Rényi uncertainty relations to wave packet revivals