Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
arXiv:1111.3461 · doi:10.1007/s00340-011-4628-7
Abstract
Spatial and/or temporal propagation of light waves in periodic optical structures offers a rather unique possibility to realize in a purely classical setting the optical analogues of a wide variety of quantum phenomena rooted in relativistic wave equations. In this work a brief overview of a few optical analogues of relativistic quantum phenomena, based on either spatial light transport in engineered photonic lattices or on temporal pulse propagation in Bragg grating structures, is presented. Examples include spatial and temporal photonic analogues of the Zitterbewegung of a relativistic electron, Klein tunneling, vacuum decay and pair-production, the Dirac oscillator, the relativistic Kronig-Penney model, and optical realizations of non-Hermitian extensions of relativistic wave equations.
review article (invited), 14 pages, 7 figures, 105 references
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Cited by in corpus (36)
- Photonic realization of the quantum Rabi model
- Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
- Stable dark solitons in PT-symmetric dual-core waveguides
- Optical analogue of relativistic Dirac solitons in binary waveguide arrays
- A classical simulation of nonlinear Jaynes--Cummings and Rabi models in photonic lattices
- Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays
- Tachyon physics with trapped ions
- Simulating quantum dynamical phenomena using classical oscillators: Landau-Zener-Stuckelberg-Majorana interferometry, latching modulation, and motional averaging
- An intensity-dependent quantum Rabi model: Spectrum, SUSY partner and optical simulation
- Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays
- Optical simulation of Majorana physics
- Supersymmetric Bragg gratings
- Optical simulation of neutrino oscillations in binary waveguide arrays
- Gilmore-Perelomov symmetry based approach to photonic lattices
- Interactions of bright and dark solitons with localized -symmetric potentials
- Optical finite representation of the Lorentz group
- An introduction to arrays of coupled waveguides
- Conical intersections for light and matter waves
- Quantum gravity simulation by non-paraxial nonlinear optics
- Photonic lattice simulation of dissipation-induced correlations in bosonic systems
- Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding
- Propagation of non-classical states of light through one-dimensional photonic lattices
- Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
- Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain
- Optical analogue of spontaneous symmetry breaking induced by tachyon condensation in amplifying plasmonic arrays
- Path Integral for Non-Paraxial Optics
- Photonic realization of the kappa-deformed Dirac equation
- A photonic crystal realization of a phase driven two-level atom
- Klein Bound States in Single-Layer Graphene
- Optical realization of the dissipative quantum oscillator
- Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect
- Pseudo Hermitian interactions in the Dirac Equation
- Phase state and related nonlinear coherents states
- Stability of parametrically driven, damped nonlinear Dirac solitons
- Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
- An optical analog of quantum optomechanics