Quantum revival for elastic waves in thin plate

被引:0
作者
Marc Dubois
Gautier Lefebvre
Patrick Sebbah
机构
[1] Institut Langevin,Department of Physics
[2] ESPCI ParisTech CNRS UMR7587,undefined
[3] 1 rue Jussieu,undefined
[4] The Jack and Pearl Resnick Institute for Advanced Technology,undefined
[5] Bar-Ilan University,undefined
来源
The European Physical Journal Special Topics | 2017年 / 226卷
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摘要
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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页码:1593 / 1601
页数:8
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共 67 条
[1]  
Robinett R.(2004)Quantum wave packet revivals Phys. Rep. 392 1-undefined
[2]  
Jaynes E.(1963)Comparison of quantum, semiclassical radiation theories with application to the beam maser Proc. IEEE 51 89-undefined
[3]  
Cummings F.(1980)Periodic Spontaneous Collapse, Revival in a Simple Quantum Model Phys. Rev. Lett. 44 1323-undefined
[4]  
Eberly J.H.(1981)Coherence versus incoherence: Collapse revival in a simple quantum model Phys. Rev. A 23 236-undefined
[5]  
Narozhny N.B.(1986)Coherence decay of Rydberg wave packets Phys. Rev. Lett. 56 1-undefined
[6]  
Sanchez-Mondragon J.J.(1989)Fractional revivals: Universality in the long-term evolution of quantum wave packets beyond the correspondence principle dynamics Phys. Lett. A 139 449-undefined
[7]  
Narozhny N.(1997)Can wave packet revivals occur in chaotic quantum systems? Phys. Rev. Lett. 79 3629-undefined
[8]  
Sanchez-Mondragon J.(1987)Observation of quantum collapse and revival in a one-atom maser Phys. Rev. Lett. 58 353-undefined
[9]  
Eberly J.(1990)Observation of the collapse and revival of a Rydberg electronic wave packet Phys. Rev. Lett. 64 2007-undefined
[10]  
Parker J.(1994)Observation of Rydberg wave packet dynamics in a Coulombic magnetic field Phys. Rev. Lett. 72 3783-undefined