Non-adiabatic geometric phase of elastic waves

Jérémie Boulanger; Nicolas Le Bihan; Stefan Catheline; Vincent Rossetto

doi:10.1121/1.3655020

Journal articles

Non-adiabatic geometric phase of elastic waves

Jérémie Boulanger ¹ Nicolas Le Bihan ¹ Stefan Catheline ² Vincent Rossetto ³

1 GIPSA-CICS - GIPSA - Communication Information and Complex Systems

GIPSA-DIS - Département Images et Signal

2 ISTerre - Institut des Sciences de la Terre

3 LPM2C - Laboratoire de physique et modélisation des milieux condensés

Abstract : We study the transport of elastic waves in a waveguide with helical shape. Polarization exhibits a geometric phase (or Berry phase): The polarization plane rotates along the helix following a geometric rule called parallel transport. Whereas this experiment is similar to the first experimental evidence of a Berry phase, by Tomita and Chiao [Phys. Rev. Lett. 57 (1986)], there is a major difference: The evolution of polarization is not adiabatic. This experiment therefore addresses the universality of the geometric phase beyond the adiabatic regime. We show that properties of the observed geometric phase coincide with the ones predicted by the adiabatic theory. The measured value of the phase is consistent (up to experimental uncertainty) with the theoretical value and no dependency with frequency is observable either.

Document type :

Journal articles

Domain :

Sciences of the Universe [physics] / Earth Sciences / Geomorphology

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https://hal-insu.archives-ouvertes.fr/insu-00679432
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Submitted on : Thursday, March 15, 2012 - 4:03:27 PM
Last modification on : Saturday, January 15, 2022 - 3:52:12 AM

Non-adiabatic geometric phase of elastic waves

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