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Observation of a non-adiabatic geometric phase for elastic waves

2011/03/31 by Jérémie Boulanger, Nicolas Le Bihan, Stefan Catheline +1 · 13 citations
Physics and Astronomy · #Adiabatic process #Geometric phase #Geometric shape #Geometrical optics #Nonlinear Photonic Systems #Phase (matter) #Polarization (electrochemistry) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #Wavelength #physics.class-ph #physics.optics

paper · pdf · doi:10.1016/j.aop.2011.11.014

published in Annals of Physics 327(3), 952-958 (Elsevier BV) · 13 figures

openalex publication_date 2011/12/07 · arxiv created 2012/02/02 · arxiv updated 2013/11/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We report the experimental observation of a geometric phase for elastic waves in a waveguide with helical shape. The setup reproduces the experiment by Tomita and Chiao [A. Tomita, R.Y. Chiao, Phys. Rev. Lett. 57 (1986) 937-940, 2471] that showed first evidence of a Berry phase, a geometric phase for adiabatic time evolution, in optics. Experimental evidence of a non-adiabatic geometric phase has been reported in quantum mechanics. We have performed an experiment to observe the polarization transport of classical elastic waves. In a waveguide, these waves are polarized and dispersive. Whereas the wavelength is of the same order of magnitude as the helix's radius, no frequency dependent correction is necessary to account for the theoretical prediction. This shows that in this regime, the geometric phase results directly from geometry and not from a correction to an adiabatic phase.

Citations