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 exhibit 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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See Supplementary Material for movies of the vertical displacement for point source located on the diagonal at the center of the plate
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Dubois, M., Lefebvre, G. & Sebbah, P. Quantum revival for elastic waves in thin plate. Eur. Phys. J. Spec. Top. 226, 1593–1601 (2017). https://doi.org/10.1140/epjst/e2016-60364-7
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DOI: https://doi.org/10.1140/epjst/e2016-60364-7