Quantum revival for elastic waves in thin plate
Abstract
Quantum revival is described as the time-periodic reconstruction of a wave packet initially localized in space and time. This effect is expected in finite-size systems which exhibits commensurable discrete spectrum such as the infinite quantum well. Here, we report on the experimental observation of full and fractional quantum revival for classical waves in a two dimensional cavity. We consider flexural waves propagating in thin plates, as their quadratic dispersion at low frequencies mimics the dispersion relation of quantum systems governed by Schr\"{o}dinger equation. Time-dependent excitation and measurement are performed at ultrasonic frequencies and reveal a periodic reconstruction of the initial elastic wave packet.
Cite
@article{arxiv.1611.05202,
title = {Quantum revival for elastic waves in thin plate},
author = {Marc Dubois and Gautier Lefebvre and Patrick Sebbah},
journal= {arXiv preprint arXiv:1611.05202},
year = {2017}
}
Comments
submitted to the special issue of EPJ ST in honor of scientific legacy of Roger Maynard