Geometric phase and topology of elastic oscillations and vibrations in model systems: Harmonic oscillator and superlattice
Source abstract
Abstract
We illustrate the concept of geometric phase in the case of two prototypical elastic systems, namely the one-dimensional harmonic oscillator and a one-dimensional binary superlattice. We demonstrate formally the relationship between the variation of the geometric phase in the spectral and wave number domains and the parallel transport of a vector field along paths on curved manifolds possessing helicoidal twists which exhibit non-conventional topology.
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Research context
OpenAlex topics: Topological Materials and Phenomena · Mechanical and Optical Resonators · Nonlinear Photonic Systems
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Affiliations
University of Arizona 1 Department of Materials Science and Engineering, , Tucson, AZ 85721, USA
Institut d’Electronique, de Micro-électronique et de Nanotechnologie, UMR CNRS 8520 2 , Cité Scientifique, 59652 Villeneuve d’Ascq Cedex, France
Funding
National Science Foundation
References (31)
Show source-provided references
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