Observation of a non-adiabatic geometric phase for elastic wavesReport as inadecuate

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* Corresponding author 1 GIPSA-CICS - CICS GIPSA-DIS - Département Images et Signal 2 ISTerre - Institut des Sciences de la Terre 3 LPMMC - Laboratoire de physique et modélisation des milieux condensés

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.

Keywords : Elastic waves Geometric phase Waveguide

Author: Jérémie Boulanger - Nicolas Le Bihan - Stefan Catheline - Vincent Rossetto -

Source: https://hal.archives-ouvertes.fr/


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