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arXiv · 1611.05202

Quantum revival for elastic waves in thin plate

Marc Dubois·Gautier Lefebvre·Patrick Sebbah
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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 Schrödinger equation. Time-dependent excitation and measurement are performed at ultrasonic frequencies and reveal a periodic reconstruction of the initial elastic wave packet.

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Marc Dubois, Gautier Lefebvre, Patrick Sebbah. 2017-01-13. Quantum revival for elastic waves in thin plate. https://doi.org/10.1140/epjst%2Fe2016-60364-7

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