Optical mesh lattices with PT-symmetry
arXiv:1208.1722 · doi:10.1103/PhysRevA.86.023807
Abstract
We investigate a new class of optical mesh periodic structures that are discretized in both the transverse and longitudinal directions. These networks are composed of waveguide arrays that are discretely coupled while phase elements are also inserted to discretely control their effective potentials and can be realized both in the temporal and the spatial domain. Their band structure and impulse response is studied in both the passive and parity-time (PT) symmetric regime. The possibility of band merging and the emergence of exceptional points along with the associated optical dynamics are considered in detail both above and below the PT-symmetry breaking point. Finally unidirectional invisibility in PT-synthetic mesh lattices is also examined along with possible superluminal light transport dynamics.
arXiv comment14 pages, 17 figures, published in Physical Review A
References in corpus (27)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Complex Extension of Quantum Mechanics
- Quantum random walks - an introductory overview
- Anderson localization and nonlinearity in one dimensional disordered photonic lattices
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- PT-symmetric laser-absorber
- Visualization of Branch Points in PT-Symmetric Waveguides
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
- Pump-induced Exceptional Points in Lasers
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Discrete single-photon quantum walks with tunable decoherence
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- PT-symmetry in honeycomb photonic lattices
- Photonic Bloch oscillations and Zener tunneling in two-dimensional optical lattices
- Nonlinear suppression of time-reversals in PT-symmetric optical couplers
- Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances
- Quantum walk on the line as an interference phenomenon
- Photon propagation in a discrete fiber network: An interplay of coherence and losses
- Nonlinear modes in finite-dimensional PT-symmetric systems
- PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold
- Reflectionless Potentials and PT Symmetry
- Origin of maximal symmetry breaking in even PT-symmetric lattices
- Dynamics, disorder effects, and PT-symmetry breaking in waveguide lattices with localized eigenstates
Cited by in corpus (36)
- Nonlinear waves in -symmetric systems
- Nonlinear switching and solitons in PT-symmetric photonic systems
- Observation of Defect States in PT-Symmetric Optical Lattices
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
- Observation of Bloch oscillations in complex PT-symmetric photonic lattices
- Supersymmetry-generated complex optical potentials with real spectra
- Bragg solitons in nonlinear PT-symmetric periodic potentials
- Parity-time symmetry in optical microcavity systems
- Parity-time-symmetric optical lattice with alternating gain and loss atomic configurations
- Steering magnonic dynamics and permeability at exceptional points in a parity-time symmetric waveguide
- 2D Solitons in PT-symmetric photonic lattices
- Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
- Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
- Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point
- Diffraction control in PT-symmetric photonic lattices: from beam rectification to dynamic localization
- Superfluidity of Light and its Break-Down in Optical Mesh Lattices
- Interactions of bright and dark solitons with localized -symmetric potentials
- Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
- Optical Neural Network Based on Synthetic Nonlinear Photonic Lattices
- A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
- Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects
- Observation of localized modes at effective gauge field interface in synthetic photonic lattice
- Gyrating solitons in a necklace of optical waveguides
- Modulational instability in -symmetric Bragg grating structures with saturable nonlinearity
- Topological chiral interface states beyond insulators
- Effects of Kerr medium in coupled cavities on quantum state transfer
- Highly Amplified Light Transmission in Parity-Time Symmetric Multilayered Structure
- Discretized optical dynamics in one-dimensionally synthetic photonic lattice
- Wave manipulation via delay-engineered periodic potentials
- Controllable chaotic dynamics in a nonlinear fiber ring resonators with balanced gain and loss
- PT-symmetric microring lasers: Self-adapting broadband mode-selective resonators
- Theory of hydrodynamic phenomena in optical mesh lattices
- Anomalous reflection at the interface of binary synthetic photonic lattices
- Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
- Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system