Photonic analogue of Zitterbewegung in binary waveguide arrays

Abstract

An optical analogue of Zitterbewegung (ZB), i.e. of the trembling motion of Dirac electrons caused by the interference between positive and negative energy states, is proposed for spatial beam propagation in binary waveguide arrays. In this optical system ZB is simply observable as a quiver spatial oscillatory motion of the beam center of mass around its mean trajectory.

3 pagse, 3 figures, to be published in Opt. Lett

References in corpus (9)

• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Extremal transmission at the Dirac point of a photonic band structure
• Observing Zitterbewegung in Ultracold Atoms
• Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
• Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
• Realization of Dirac Point with Double Cones in Optics
• Multi-gap discrete vector solitons
• Observation of discrete gap solitons in binary waveguide arrays

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• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
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• Quantum electrodynamics of chiral waveguide arrays
• Exploring new states of matter with a photonic emulator