Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain
arXiv:1905.05972 · doi:10.1080/09500340.2019.1656783
Abstract
Starting from an engineered periodic optical structure formed by waveguide arrays comprised of two interleaved lattices, we simulate a deformed Dirac equation. We show that the system also simulate graphene nano ribbons under strain. This optical analogue allows us to study the phenomenon of Zitterbewegung for the modified Dirac equation. Our results show that the amplitude of Zitterbewegung oscillations changes as the deformation parameter is changed.
References in corpus (38)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Andreev reflection and Klein tunneling in graphene
- Lorentz invariance with an invariant energy scale
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Gap opening in graphene by shear strain
- Observation of dynamic localization in periodically-curved waveguide arrays
- Effective Mass of One 4he Atom in Liquid 3he
- Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
- Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
- Solutions of the nonrelativistic wave equation with position-dependent effective mass
- Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
- Strained graphene: tight-binding and density functional calculations
- Coherent Quantum Transport in Photonic Lattices
- First experimental realization of the Dirac oscillator
- Implementation of quantum search algorithm using classical Fourier optics
- Photonic analogue of Zitterbewegung in binary waveguide arrays
- Superintegrability in a two-dimensional space of non-constant curvature
- A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour
- Transport properties of graphene across strain-induced nonuniform velocity profiles
- Relativistic quantum mechanics with trapped ions
- Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
- Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
- Generalized uncertainty principles and quantum field theory
- A classical simulation of nonlinear Jaynes--Cummings and Rabi models in photonic lattices
- The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle
- Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays
- Jaynes Cummings Photonic Superlattices
- Nonlinear Aharonov-Bohm scattering by optical vortices
- Optical simulation of Majorana physics
- Gilmore-Perelomov symmetry based approach to photonic lattices
- Probing the effects of interaction in Anderson localization using linear photonic lattices
- Photonic lattice simulation of dissipation-induced correlations in bosonic systems
- Phase transition to spatial Bloch-like oscillation in squeezed photonic lattices
- Mapping of the 2+1 q-deformed Dirac oscillator onto the q-deformed Jaynes-Cummings model: It's non-relativistic limit and Zitterbewegung effect
- Interplay of relativistic and nonrelativistic transport in atomically precise segmented graphene nanoribbons
- Phase state and related nonlinear coherents states
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