Quantum revival for elastic waves in thin plate
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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.
- 11.V. Krueckl, T. Kramer, Revivals of quantum wave packets in graphene, J. Phys. 11, 093010 (2009)Google Scholar
- 14.H. Talbot, Facts relating to optical science, Phil. Mag. 9, 401407 (1836)Google Scholar
- 15.J. Winthrop, C. Worthington, Theory of Fresnel images. I. Plane periodic objects in monochromatic light, JOSA 55, (1965)Google Scholar
- 20.D. Royer, E. Dieulesaint, Ondes Élastiques Dans Les Solides Propagation Libre et Guidée (Elsevier Masson, 1996)Google Scholar
- 21.A.W. Leissa, Vibration of Plates (NASA, 1969), SP160Google Scholar
- 25.See Supplementary Material for movies of the vertical displacement for point source located on the diagonal at the center of the plateGoogle Scholar
- 27.F. Anselmet, P.O. Mattei, Acoustique Aaroacoustique et Vibrations (ISTE Ltd. – Wiley & Sons, 2015)Google Scholar
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