TY - JOUR
T1 - Quantum revival for elastic waves in thin plate
AU - Dubois, Marc
AU - Lefebvre, Gautier
AU - Sebbah, Patrick
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/5/1
Y1 - 2017/5/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85019593634&partnerID=8YFLogxK
U2 - 10.1140/epjst/e2016-60364-7
DO - 10.1140/epjst/e2016-60364-7
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SN - 1951-6355
VL - 226
SP - 1593
EP - 1601
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
IS - 7
ER -