Exponentially complex "classically entangled" states in arrays of one-dimensional nonlinear elastic waveguides

P. A. Deymier, K. Runge, M. A. Hasan, L. Calderin

Research output: Contribution to journalArticle

Abstract

We demonstrate theoretically, using multiple-time-scale perturbation theory, the existence of nonseparable superpositions of elastic waves in an externally driven elastic system composed of three one-dimensional elastic wave guides coupled via nonlinear forces. The nonseparable states span a Hilbert space with exponential complexity. The amplitudes appearing in the nonseparable superposition of elastic states are complex quantities dependent on the frequency of the external driver. By tuning these complex amplitudes, we can navigate the state's Hilbert space. This nonlinear elastic system is analogous to a two-partite two-level quantum system.

Original languageEnglish (US)
Article number3553
JournalMaterials
Volume12
Issue number21
DOIs
StatePublished - Nov 1 2019

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Elastic waves
Hilbert spaces
Waveguides
Tuning

Keywords

  • Classical entanglement
  • Elastic waveguides
  • Nonlinear elasticity

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Exponentially complex "classically entangled" states in arrays of one-dimensional nonlinear elastic waveguides. / Deymier, P. A.; Runge, K.; Hasan, M. A.; Calderin, L.

In: Materials, Vol. 12, No. 21, 3553, 01.11.2019.

Research output: Contribution to journalArticle

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