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

P. A. Deymier, K. Runge, J. O. Vasseur

Research output: Contribution to journalArticle

10 Scopus citations

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.

Original languageEnglish (US)
Article number121801
JournalAIP Advances
Volume6
Issue number12
DOIs
StatePublished - Dec 1 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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