Exceptional Point Dynamics in Photonic Honeycomb Lattices with PT Symmetry

Abstract

We theoretically investigate the flow of electromagnetic waves in complex honeycomb photonic lattices with local PT symmetries. Such PT structure is introduced via a judicious arrangement of gain or loss across the honeycomb lattice, characterized by a gain/loss parameter γ. We found a new class of conical diffraction phenomena where the formed cone is brighter and travels along the lattice with a transverse speed proportional to Sqrt (γ).

7 pages, 5 figures

References in corpus (9)

• Making Sense of Non-Hermitian Hamiltonians
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Faster than Hermitian Quantum Mechanics
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• PT-Symmetric Wave Chaos
• Gauging non-Hermitian Hamiltonians

Cited by in corpus (52)

• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• Inverse design of third-order Dirac exceptional points in photonic crystals
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Second-order topological non-Hermitian skin effects
• PT-Symmetric Talbot Effects
• Coalescence of spectral singularities and phase diagrams for one-dimensional PT symmetric photonic crystals
• Exceptional contours and band structure design in parity-time symmetric photonic crystals
• Experimental realization of Floquet PT-symmetric systems
• Breathers in PT-symmetric optical couplers
• Bragg solitons in nonlinear PT-symmetric periodic potentials
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a necklace of coupled optical waveguides
• Unidirectional Localization of Photons
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Flat bands in lattices with non-Hermitian coupling
• Parity-time symmetry in optical microcavity systems
• Spectral singularities in PT-symmetric periodic finite-gap systems
• PT Symmetry Breaking and Nonlinear Optical Isolation in Coupled Microcavities
• Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Nonhermitian transport effects in coupled-resonator optical waveguides
• Revisiting the optical $PT$-symmetric dimer
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Solitons in PT-symmetric ladders of optical waveguides
• Interaction of sine-Gordon kinks and breathers with a $\mathcal{P}\mathcal{T}$-symmetric defect
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects
• Stationary modes and integrals of motion in nonlinear lattices with PT-symmetric linear part
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• An introduction to arrays of coupled waveguides
• PT-symmetric phase in kagome photonic lattices
• Complex Berry phase instability in PT-symmetric coupled waveguides
• Eigenvalue dynamics in the presence of non-uniform gain and loss
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Laser Mode Bifurcations Induced by $\mathcal{P}\mathcal{T}$-Breaking Exceptional Points
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Gyrating solitons in a necklace of optical waveguides
• Effects of non-uniform distributions of gain and loss in photonic crystals
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Pseudo Hermitian interactions in the Dirac Equation
• Superoscillatory PT-symmetric potentials
• Supersymmetrically bounding of asymmetric states and quantum phase transitions by anti-crossing of symmetric states
• Resonant scattering of two-dimensional honeycomb PT dipole structure
• PT-symmetric Non-Hermitian Hopf Metal
• Unidirectional weak visibility in band gap and singular scattering in conduction band of one-dimensional parity-time symmetric photonic crystal
• Exceptional horns in $n$-root graphene and Lieb photonic ring lattices
• The Control of the Oscillation Threshold with Asymmetric Gain in Operational Amplifiers
• Enhanced Sensitivity of Degenerate System Made of Two Unstable Resonators Coupled by Gyrator Operating at an Exceptional Point
• Optical symmetric pushing, uni-/bi-directional null, and pulling-pushing flipped forces in one dimensional PT-symmetric photonics