Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide

Abstract

A physical realization of scattering by $\mathcal{P}\mathcal{T}$-symmetric potentials is provided: we show that the Maxwell equations for an electromagnetic wave travelling along a planar slab waveguide filled with gain and absorbing media in contiguous regions, can be approximated in a parameter range by a Schrödinger equation with a $\mathcal{P}\mathcal{T}$-symmetric scattering potential.

6 pages, 2 figures

Cited by in corpus (87)

• Visualization of Branch Points in PT-Symmetric Waveguides
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• PT-Symmetric Wave Chaos
• Periodic and Hyperbolic Soliton Solutions of a Number of Nonlocal PT-Symmetric Nonlinear Equations
• Breathers in PT-symmetric optical couplers
• Stable dark solitons in PT-symmetric dual-core waveguides
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
• $\mathcal{P}\mathcal{T}$-Symmetry-Induced Wave Confinement and Guiding in Epsilon-Near-Zero Metamaterials
• Families of stationary modes in complex potentials
• Discrete solitons in PT-symmetric lattices
• Giant amplification of modes in parity-time symmetric waveguides
• Symmetry breaking of solitons in two-dimensional complex potentials
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• PT-symmetry in optics beyond the paraxial approximation
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Exceptional points of degeneracy and $\mathcal{P}\mathcal{T}$-symmetry in photonic coupled chains of scatterers
• Flat band in two-dimensional non-Hermitian optical lattices
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
• Phase transition through the splitting of self-dual spectral singularity in optical potentials
• $\mathcal{P}\mathcal{T}$-symmetric mode-locking
• Probability-preserving evolution in a non-Hermitian two-band model
• Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear $\mathcal{P}\mathcal{T}$-symmetric defect
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Nonlinear multi-core waveguiding structures with balanced gain and loss
• Partitioning technique for a discrete quantum system
• Discrete solitons in self-defocusing systems with $\mathcal{P}\mathcal{T}$-symmetric defects
• Maximal quantum entanglement at exceptional points via unitary and thermal dynamics
• Differential Realization of Pseudo-Hermiticity: A quantum mechanical analog of Einstein's field equation
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• An introduction to PT-symmetric quantum mechanics -- time-dependent systems
• Mode pairs in $\mathcal{P}\mathcal{T}$-symmetric multimode waveguides
• Bragg-induced power oscillations in PT symmetric periodic photonic structures
• Reservoir-assisted symmetry breaking and coalesced zero-energy modes in an open PT-symmetric Su-Schrieffer-Heeger model
• Asymmetric scattering by non-hermitian potentials
• Dynamical stabilization and time in open quantum systems
• CP symmetry in optical systems
• Staggered $\mathcal{P}\mathcal{T}$-symmetric ladders with cubic nonlinearity
• Spectral Singularities and CPA-Laser Action in a Weakly Nonlinear PT-Symmetric Bilayer Slab
• Multisoliton Newton's cradles and supersolitons in regular and PT-symmetric nonlinear couplers
• PT-symmetric quantum oscillator in an optical cavity
• Open quantum systems with loss and gain
• Unitary Scattering Protected by Pseudo-Hermiticity
• Generalized Dimers and their Stokes-variable Dynamics
• Quantum deleting and cloning in a pseudo-unitary system
• Solitons in $\mathcal{P}\mathcal{T}$-symmetric systems with spin-orbit coupling and critical nonlinearity
• PT-symmetric sine-Gordon breathers
• Cavity controlled spectral singularity
• Scattering by PT-symmetric non-local potentials
• Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
• Poincaré symmetries and representations in pseudo-Hermitian quantum field theory
• Emulation of lossless exciton-polariton condensates by dual-core optical waveguides: Stability, collective modes, and dark solitons
• Weak Measurements in Non-Hermitian Systems
• Low-frequency scattering defined by the Helmholtz equation in one dimension
• Non-Hermitian Model for Asymmetrical Tunneling
• Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
• Solitons and nonlinear dynamics in dual-core optical fibers
• Scattering properties of a PT dipole
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Exceptional Points of Degeneracy with Indirect Bandgap Induced By Mixing Forward and Backward Propagating Waves
• Novel Superposed Kinklike and Pulselike Solutions for Several Nonlocal Nonlinear Equations
• Quantum-optical implementation of non-Hermitian potentials for asymmetric scattering
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• PT-Symmetric potential impact on the scattering of a Bose-Einstein condensate from a Gaussian Obstacle
• Exceptional points and pseudo-Hermiticity in real potential scattering
• Third Order Modal Exceptional Degeneracy in Waveguides with Glide-Time Symmetry
• Quantum thermodynamics aspects with a thermal reservoir based on $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Conserved quantities in non-Hermitian systems via vectorization method
• Hermitian and non-Hermitian topology in active matter
• Order-invariant two-photon quantum correlations in PT-symmetric interferometers
• Non-Hermitian physics and engineering in silicon photonics
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
• Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
• A Hermitian bypass to the non-Hermitian quantum theory
• Mini-review: Spatial solitons supported by localized gain
• Emulating exceptional-point encirclements using imperfect (leaky) photonic components
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Exponential asymptotics for solitons in PT-symmetric periodic potentials
• Recurrence method in Non-Hermitian Systems
• Characteristic influence of exceptional points in quantum dynamics
• Floquet engineering with spatially non-uniform driving fields
• PT symmetry and the evolution speed in open quantum systems
• Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators