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Article Dans Une Revue AIP Advances Année : 2016

Geometric phase and topology of elastic oscillations and vibrations in model systems: Harmonic oscillator and superlattice

Résumé

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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Origine : Publication financée par une institution
Licence : CC BY - Paternité

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hal-03300474 , version 1 (26-08-2022)

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P. Deymier, K. Runge, Jerome O. Vasseur. Geometric phase and topology of elastic oscillations and vibrations in model systems: Harmonic oscillator and superlattice. AIP Advances, 2016, 6 (12), pp.121801. ⟨10.1063/1.4968608⟩. ⟨hal-03300474⟩
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