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Exponentially Complex "Classically Entangled" States in Arrays of One-Dimensional Nonlinear Elastic Waveguides.

P A Deymier1, K Runge2, M A Hasan3

  • 1Department of Materials Science and Engineering, The University of Arizona, Tucson, AZ 85721, USA. deymier@email.arizona.edu.

Materials (Basel, Switzerland)
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Summary
This summary is machine-generated.

Researchers theoretically show complex elastic wave superpositions exist in a driven nonlinear system. Tuning wave amplitudes allows navigation of the system

Keywords:
classical entanglementelastic waveguidesnonlinear elasticity

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Area of Science:

  • Nonlinear dynamics
  • Elastic wave propagation
  • Theoretical physics

Background:

  • Coupled elastic waveguides exhibit complex behaviors.
  • Nonlinear forces introduce rich phenomena in wave systems.
  • Quantum mechanics provides analogies for classical systems.

Purpose of the Study:

  • To theoretically demonstrate nonseparable superpositions of elastic waves.
  • To explore the Hilbert space complexity of such states.
  • To establish an analogy between nonlinear elastic systems and quantum systems.

Main Methods:

  • Multiple-time-scale perturbation theory was employed.
  • Analysis of an externally driven elastic system with three coupled waveguides.
  • Investigation of nonlinear coupling forces.

Main Results:

  • Existence of nonseparable elastic wave superpositions confirmed.
  • These states span a Hilbert space with exponential complexity.
  • Complex amplitudes, dependent on external driver frequency, govern state navigation.

Conclusions:

  • Nonlinear elastic systems can exhibit quantum-like complexity.
  • The system serves as an analogue for two-partite, two-level quantum systems.
  • Tuning wave amplitudes offers control over system states.