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arXiv · 1409.5581

Fractional revivals through R\'enyi uncertainty relations

Elvira Romera·Francisco de los Santos
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Abstract

We show that the R\'enyi 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.

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Elvira Romera, Francisco de los Santos. 2014-09-19. Fractional revivals through R\'enyi uncertainty relations. https://doi.org/10.1103/physreva.78.013837

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