PT-Symmetric Talbot Effects

Abstract

We show that complex PT-symmetric photonic lattices can lead to a new class of self-imaging Talbot effects. For this to occur, we find that the input field pattern, has to respect specific periodicities which are dictated by the symmetries of the system. While at the spontaneous PT-symmetry breaking point, the image revivals occur at Talbot lengths governed by the characteristics of the passive lattice, at the exact phase it depends on the gain and loss parameter thus allowing one to control the imaging process.

5 pages, 3 figures

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Cited by in corpus (55)

• Non-Hermitian Physics
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Topologically protected midgap states in complex photonic lattices
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• A review of progress in the physics of open quantum systems: theory and experiment
• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• PT-Symmetric Plasmonic Metamaterials
• Pseudo Parity-Time Symmetry in Optical Systems
• Experimental realization of Floquet PT-symmetric systems
• Anderson localization in the Non-Hermitian Aubry-André-Harper model with physical gain and loss
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Breaking of PT-symmetry in bounded and unbounded scattering systems
• Nonlocal gap solitons in PT-symmetric periodic potentials with defocusing nonlinearity
• Magnon blockade in a PT-symmetric-like cavity magnomechanical system
• Non-Hermiticity Induced Flat Band
• The Nonlinear Talbot Effect of Rogue Waves
• Parity-time-symmetric optical lattice with alternating gain and loss atomic configurations
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Spontaneous PT symmetry breaking in non-Hermitian coupled cavities array
• Parity-time symmetry from stacking purely dielectric and magnetic slabs
• Observation of electromagnetically induced Talbot effect in an atomic system
• Talbot effect for exciton-polaritons
• Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
• One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
• Scattering properties of PT-symmetric layered periodic structures
• Dual accelerating Airy-Talbot recurrence effect
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• PT-Symmetric Nonlinear Metamaterials and Zero-Dimensional Systems
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Transport properties in a Non-Hermitian triple-quantum-dot structure
• Two-dimensional linear and nonlinear Talbot effect from rogue waves
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems
• Coherent perfect absorber and laser in purely imaginary conjugate metamaterials
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Bulk vortices and half-vortex surface modes in parity-time-symmetric media
• Interactions of bright and dark solitons with localized $\mathcal{P}\mathcal{T}$-symmetric potentials
• Talbot self-imaging in $\mathcal{P}\mathcal{T}$-symmetric complex crystals
• CPA-laser effect and exceptional points in PT-symmetric multilayer structures
• PT-symmetric phase in kagome photonic lattices
• Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect
• Dynamical evolutions in non-Hermitian triple-well system with complex potential
• CPT-Frames for PT-symmetric Hamiltonians
• Autofocusing Self-Imaging: The Symmetric Pearcey Talbot-like Effect
• Optical fluxes in coupled $\mathcal{P}\mathcal{T}$-symmetric photonic structures
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Pseudo PT symmetric lattice
• Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices
• A PT-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling
• Generalized Surface Polaritons and their quantum spin Hall effect
• Discretized optical dynamics in one-dimensionally synthetic photonic lattice
• Non-Hermitian Multimode Interference
• Engineering wavefront caustics trajectories in $\mathcal{P}\mathcal{T}$-symmetric lattices
• Talbot effect in nonparaxial self-accelerating beams with electromagnetically induced transparency
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions