Fisher information, nonclassicality and quantum revivals

TL;DR

This paper investigates wave packet revivals and fractional revivals using Fisher information as a measure of nonclassicality, revealing how wave packet dynamics correlate with nonclassicality levels in quantum systems.

Contribution

It introduces a Fisher information-based measure of nonclassicality to analyze wave packet revivals and fractional revivals in quantum systems.

Findings

Gaussian wave packet spreading corresponds to high nonclassicality.

Wave packet revival correlates with low nonclassicality.

Classical motion revival aligns with minimal nonclassicality.

Abstract

Wave packet revivals and fractional revivals are studied by means of a measure of nonclassicality based on the Fisher information. In particular, we show that the spreading and the regeneration of initially Gaussian wave packets in a quantum bouncer and an in the infinite square-well correspond, respectively, to high and low nonclassicality values. This result is in accordance with the physical expectations that at a quantum revival wave packets almost recover their initial shape and the classical motion revives temporarily afterward.