Unidirectional Nonlinear PT-symmetric Optical Structures

Abstract

We show that non-linear optical structures involving a balanced gain-loss profile, can act as unidirectional optical valves. This is made possible by exploiting the interplay between the fundamental symmetries of parity (P) and time (T), with optical nonlinear effects. This novel unidirectional dynamics is specifically demonstrated for the case of an integrable PT-symmetric nonlinear system.

6 pages,5 figures

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Cited by in corpus (288)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
• Nonlinear switching and solitons in PT-symmetric photonic systems
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• New topological invariants in non-Hermitian systems
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• PT-Symmetric Electronics
• Stability of solitons in PT-symmetric couplers
• A review of progress in the physics of open quantum systems: theory and experiment
• Invisibility in PT-symmetric complex crystals
• Nonlinear suppression of time-reversals in PT-symmetric optical couplers
• Optical solitons in $\mathcal{P}\mathcal{T}$-symmetric nonlinear couplers with gain and loss
• Model of a PT symmetric Bose-Einstein condensate in a delta-functions double well
• Observation of Defect States in PT-Symmetric Optical Lattices
• Optical nonreciprocity and optomechanical circulator in three-mode optomechanical systems
• PT Metamaterials via Complex-Coordinate Transformation Optics
• Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances
• Non-Reciprocal gain in non-Hermitian time-Floquet Systems
• PT-Symmetric Talbot Effects
• Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions
• Nonlinear modes in finite-dimensional PT-symmetric systems
• Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
• Local PT symmetry violates the no-signaling principle
• PT-Symmetric Oligomers: Analytical Solutions, Linear Stability and Nonlinear Dynamics
• PT-Symmetric Sinusoidal Optical Lattices at the Symmetry-Breaking Threshold
• Pseudo Parity-Time Symmetry in Optical Systems
• Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering
• Nonlinear reversal of PT symmetric phase transition in a system of coupled semiconductor micro-ring resonators
• Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
• Nonreciprocal conversion between microwave and optical photons in electro-optomechanical systems
• Non-Hermitian Acoustic Metamaterials: the role of Exceptional Points in sound absorption
• Breathers in PT-symmetric optical couplers
• Bypassing the bandwidth theorem with PT symmetry
• Stable dark solitons in PT-symmetric dual-core waveguides
• Bragg solitons in nonlinear PT-symmetric periodic potentials
• Optical mesh lattices with PT-symmetry
• Optical isolation with nonlinear topological photonics
• Solitons in a chain of PT-invariant dimers
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Exceptional Point Dynamics in Photonic Honeycomb Lattices with PT Symmetry
• PT-symmetric optical potentials in a coherent atomic medium
• Parametric amplification and bidirectional invisibility in PT-symmetric time-Floquet systems
• Nonlinear modal interactions in parity-time ($\mathcal{P}\mathcal{T}$) symmetric lasers
• Theory of Coupled Resonator Optical Waveguides (CROW) Exhibiting High Order Exceptional Points of Degeneracy
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a necklace of coupled optical waveguides
• Unidirectional Localization of Photons
• Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
• Drift-induced Unidirectional Graphene Plasmons
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
• PT-symmetry breaking in the steady state of microscopic gain-loss systems
• Zeno effect and switching of solitons in nonlinear couplers
• Hermitian four-well potential as a realization of a PT-symmetric system
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• Defect Solitons in Parity-Time Symmetric Optical Lattices with Nonlocal Nonlinearity
• Parity-time symmetry in optical microcavity systems
• Stabilization of solitons in PT models with supersymmetry by periodic management
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Light transport in PT-invariant photonic structures with hidden symmetries
• Analytic Results for a PT-symmetric Optical Structure
• Vector solitons in PT-symmetric lattices
• Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
• PT-symmetry breaking in multilayers with resonant loss and gain locks light propagation direction
• Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
• Parity-time symmetry breaking in magnetic systems
• Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
• Actively coupled optical waveguides
• Discrete solitons in PT-symmetric lattices
• Quantum noise effects with Kerr nonlinearity enhancement in coupled gain-loss waveguides
• Parity-time-symmetric optical lattice with alternating gain and loss atomic configurations
• Unbreakable PT-symmetry of solitons supported by inhomogeneous defocusing nonlinearity
• Theory of Exceptional Points of Degeneracy in Uniform Coupled-Waveguides and Balance of Gain and Loss
• Non-Dissipative Non-Hermitian Dynamics and Exceptional Points in Coupled Optical Parametric Oscillators
• Permanent Rabi oscillations in coupled exciton-photon systems with PT-symmetry
• Single-photon nonreciprocal transport in one-dimensional coupled-resonator waveguides
• Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides
• Enhanced stability, bistability, and exceptional points in saturable active photonic couplers
• On-chip non-reciprocal optical devices based on quantum inspired photonic lattices
• Linear and Nonlinear PT-symmetric Oligomers: A Dynamical Systems Analysis
• Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers
• Nonlinear dynamics in PT-symmetric lattices
• Nonreciprocal Transmission in Nonlinear PT-Symmetric Metamaterials Using Epsilon-near-Zero Media Doped with Defects
• Hamiltonian formulation of the standard $\mathcal{P}\mathcal{T}$-symmetric nonlinear Schrödinger dimer
• Impact of Dispersive and Saturable Gain/Loss on Bistability of Nonlinear Parity-Time Bragg Gratings
• Giant Non-reciprocity Near Exceptional Point Degeneracies
• Nonlinear PT-symmetric plaquettes
• PT-Symmetric Dimer of Coupled Nonlinear Oscillators
• Dimer with gain and loss: Integrability and $\mathcal{P}\mathcal{T}$-symmetry restoration
• On the integrability of PT-symmetric dimers
• 2D Solitons in PT-symmetric photonic lattices
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Optomechanical transistor with mechanical gain
• Controllable Asymmetric Phase-Locked States of the Fundamental Active Photonic Dimer
• Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
• Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
• Nonreciprocal wave scattering on nonlinear string-coupled oscillators
• Jamming anomaly in $\mathcal{P}\mathcal{T}$-symmetric systems
• Stable and oscillating solitons of $\mathcal{P}\mathcal{T}$-symmetric couplers with gain and loss in fractional dimension
• Nonreciprocal and non-Hermitian material response inspired by semiconductor transistors
• Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
• Exceptional points of degeneracy and $\mathcal{P}\mathcal{T}$-symmetry in photonic coupled chains of scatterers
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Revisiting the PT-symmetric Trimer: Bifurcations, Ghost States and Associated Dynamics
• Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Optical Couplers
• Chiral polarizer based on encircling EP
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
• Spectral singularities in PT-symmetric Bose-Einstein condensates
• Nonlinear modes in a generalized $\mathcal{P}\mathcal{T}$-symmetric discrete nonlinear Schrödinger equation
• On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• PT-Symmetric Nonlinear Metamaterials and Zero-Dimensional Systems
• Spectral Signatures of Exceptional Points and Bifurcations in the Fundamental Active Photonic Dimer
• Towards a Floquet-Network Theory of Non-Reciprocal Transport
• Directionality Fields generated by a Local Hilbert Transform
• Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear $\mathcal{P}\mathcal{T}$-symmetric defect
• Revisiting the optical $PT$-symmetric dimer
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Conservative and PT-symmetric compactons in waveguide networks
• Parity-time symmetric optical coupler with birefringent arms
• PT-symmetry in nonlinear twisted multi-core fibers
• Solitons in PT-symmetric ladders of optical waveguides
• PT-symmetric coupler with a coupling defect: soliton interaction with exceptional point
• Nonreciprocal transmission of electromagnetic waves with nonlinear active plasmonic metasurfaces
• Nonlinear multi-core waveguiding structures with balanced gain and loss
• $\mathcal{P}\mathcal{T}$ symmetry breaking in waveguide arrays with competing loss/gain pairs
• Discrete solitons in self-defocusing systems with $\mathcal{P}\mathcal{T}$-symmetric defects
• Nonreciprocal transmission and fast-slow light effects in a cavity optomechanical system
• Defect solitons supported by nonlocal PT symmetric superlattices
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Stationary modes and integrals of motion in nonlinear lattices with PT-symmetric linear part
• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• Pseudo-chirality: a manifestation of Noether's theorem in non-Hermitian systems
• Various Scattering Properties of a New PT-symmetric non-Hermitian potential
• Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry
• $\mathcal{P}\mathcal{T}$-symmetry-breaking enhanced cavity optomechanical magnetometry
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Mode pairs in $\mathcal{P}\mathcal{T}$-symmetric multimode waveguides
• Non-reciprocity and zero reflection in nonlinear cavities with tailored loss
• Localized Single Frequency Lasing States in a Finite Parity-Time Symmetric Resonator Chain
• Pseudo-Hermiticity protects the energy-difference conservation in the scattering
• Realizing PT-symmetric BEC subsystems in closed hermitian systems
• Ultrabroadband nonreciprocal transverse energy flow of light in linear passive photonic circuits
• Asymmetric Transmission in Photonic Structures with Phase-Change Components
• $\mathcal{P}\mathcal{T}$-symmetric coupler with ${\chi }^{(2)}$ nonlinearity
• Spinor solitons and their $\mathcal{P}\mathcal{T}$-symmetric offspring
• Stochastic $\mathcal{P}\mathcal{T}$-symmetric coupler
• Anomalous Parity-Time Symmetry Transition away from an Exceptional Point
• $\mathcal{P}\mathcal{T}$ symmetric phase transition and single-photon transmission in an optical trimmer system
• PT-symmetric lattices with spatially extended gain/loss are generically unstable
• Broadband and Wide-Angle Nonreciprocity with a Nonhermitian Metamaterial
• Complex Berry phase instability in PT-symmetric coupled waveguides
• Light dynamics in nonlinear trimers and twisted multicore fibers
• Modulation theory in PT-Symmetric Magnetic Metamaterial Arrays in the continuum limit
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Coherent virtual absorption of light in microring resonators
• Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials
• PT-symmetric optical superlattices
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• Nonlinear parity-time-symmetric transition in finite-size optical couplers
• Spectral Singularity in confined PT symmetric optical potential
• Non-reciprocal mu-near-zero mode in PT-symmetric magnetic domains
• Bifurcations and exceptional points in a PT-symmetric dipolar Bose-Einstein condensate
• Frozen mode in an asymmetric serpentine optical waveguide
• Active Polarization Control with a Parity-Time Symmetric Plasmonic Resonator
• Symmetry breaking and restoring wave transmission in diode-antidiode double chains
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• Parity-dependent unidirectional and chiral photon transfer in reversed-dissipation cavity optomechanics
• Exact control of parity-time symmetry in periodically modulated nonlinear optical couplers
• Supersymmetric model of a Bose-Einstein condensate in a $\mathcal{P}\mathcal{T}$-symmetric double-delta trap
• Dynamical evolutions in non-Hermitian triple-well system with complex potential
• Algebraic maximum violation of the Leggett-Garg inequality in a two-level system under PT symmetric dynamics
• Real-Time Transport in Open Quantum Systems From $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• PT-symmetry Management in Oligomer Systems
• Nonreciprocal quantum phase transition in cavity magnonics
• Edge and bulk dissipative solitons in modulated PT-symmetric waveguide arrays
• Optical Modes in PT-Symmetric Double-Channel Waveguides
• Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects
• Generalized Dimers and their Stokes-variable Dynamics
• Observing a Changing Hilbert-Space Inner Product
• Synthesis of lossless electric circuits based on prescribed Jordan forms
• Global existence of solutions to coupled $\mathcal{P}\mathcal{T}$-symmetric nonlinear Schrödinger equations
• Exceptional points of degeneracy in traveling wave tubes
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• PT-symmetric sine-Gordon breathers
• Gyrating solitons in a necklace of optical waveguides
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Maxwell's demon-like nonreciprocity by non-Hermitian gyrotropic metasurfaces
• Switching dynamics of femtosecond solitons in parity-time-symmetric coupled optical waveguides
• Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• Optical fluxes in coupled $\mathcal{P}\mathcal{T}$-symmetric photonic structures
• Nonreciprocal guided waves in presence of swift electron beams
• $CPT$-symmetric coupler with intermodal dispersion
• A possible method for non-Hermitian and non-$PT$-symmetric Hamiltonian systems
• Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Introduction and Grating Structures in One Dimension
• Nonreciprocal ENZ-Dielectric Bilayers: Enhancement of Nonreciprocity from a Nonlinear Transparent Conducting Oxide Thin Film at Epsilon-Near-Zero (ENZ) Frequency
• $\mathcal{P}\mathcal{T}-$Symmetric Dimers with Time-Periodic Gain/Loss Function
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Temporal correlation beyond quantum bounds in non-hermitian dynamics
• Simulating non-Hermitian dynamics of a multi-spin quantum system and an emergent central spin model
• Universal quantum control by non-Hermitian Hamiltonian
• Non-Hermitian dynamics of a two-spin system with PT symmetry
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• Exceptional point in a coupled Swanson system
• Exceptional Point modulated by Kerr effect in Anti-Parity-Time Symmetry System
• Strong magneto-optical response enabled by quantum two level systems
• Coherent population oscillations and an effective spin-exchange interaction in a $\mathcal{P}\mathcal{T}$ symmetric polariton mixture
• Metric operators for non-Hermitian quadratic su(2) Hamiltonians
• Control of Power in Parity-Time -Symmetric Lattices
• Scattering states of a particle, with position-dependent mass, in a $\mathcal{P}\mathcal{T}$ symmetric heterojunction
• Systems that become $\mathcal{P}\mathcal{T}$ symmetric through interaction
• Integrated optical isolators using electrically driven acoustic waves
• $\mathcal{P}\mathcal{T}$-symmetric ladders with a scattering core
• Non-hermitian model for resonant cavities coupled by a chiral mirror
• Stability of Bose-Einstein condensates in a $\mathcal{P}\mathcal{T}$ symmetric double-$\delta$ potential close to branch points
• Momentum-Space Topological Effects of Nonreciprocity
• Solitons in a Hamiltonian $PT$-symmetric coupler
• Pseudo-conservative dynamics of coupled polariton condensates
• Overcoming the diffraction limit on the size of dielectric resonators using an amplifying medium
• Effects of the third-order dispersion on continuous waves in complex potentials
• Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
• Mean-field approximation for a Bose-Hubbard dimer with complex interaction strength
• Lasing at a Stationary Inflection Point
• Parity-Time Symmetry and Exceptional points: A Tutorial
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Gain-compensated cavities for the dynamic control of light-matter interactions
• Unidirectional Photonic Circuit with Phase-Change Fano Resonator
• Dynamics of mode entanglement in a system of cavities coupled with a chiral mirror
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Superoscillatory PT-symmetric potentials
• Controlling of blow-up responses by a nonlinear $\mathcal{P}\mathcal{T}$ symmetric coupling
• Scattering of Spin-$\frac{1}{2}$ Particles from a $\mathcal{P}\mathcal{T}$-symmetric Complex Potential
• Double-sided unidirectional reflectivity
• Quantum noise induced nonreciprocity for single photon transport in parity-time symmetric systems
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
• Making the PT symmetry unbreakable
• Bloch oscillations in a Bose-Hubbard chain with single-particle losses
• Lasing in para-Fermi class-B microring resonator arrays
• Supersymmetry of $\mathcal{P}\mathcal{T}$- symmetric tridiagonal Hamiltonians
• Scattering in a varying mass PT symmetric double heterojunction
• Unidirectional segregation of Bright-Bright soliton through a $\mathcal{P}\mathcal{T}$-symmetric potential
• Adjusting exceptional points using saturable nonlinearities
• Classical Trajectories of the Continuum States of the $\mathcal{P}\mathcal{T}$ symmetric Scarf II potential
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Recent advances in the combination of nonlinearity and exceptional points
• Nonreciprocity of intense light field and weak quantum signal in optomechanical systems with three-mode parametric interactions
• Broadband Microwave Isolation with Adiabatic Mode Conversion in Coupled Superconducting Transmission Lines
• Disorder effects in tunable waveguide arrays with parity-symmetric tunneling
• PT-symmetric transport in non-PT-symmetric bi-layer optical arrays
• Gap solitons and symmetry breaking in parity-time symmetric microring CROWs
• Manipulating spectral transitions and photonic transmission in a non-Hermitian optical system through nanoparticle perturbations
• Engineering wavefront caustics trajectories in $\mathcal{P}\mathcal{T}$-symmetric lattices
• Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Beam Dynamics in a Double-Channel Waveguide with Gain and Loss
• Monopole Antimonopole Instability in Non-Hermitian Coupled Waveguides
• Synchronization in PT-symmetric optomechanical resonators
• Nonlinear stationary states in PT-symmetric lattices
• Stability band structure for periodic states in periodic potentials
• Extra Loss-free Non-Hermitian Engineered Single Mode Laser Systems
• Exceptional rings in nonlinear non-Hermitian planar optical microcavities: implementation, signal enhancement, and topology
• Exploring Nonreciprocal Noise Transfer under Onsager-Casimir Symmetry in Synthetic-Field Optomechanics
• Unidirectional reflectivity in non-Hermitian lossy thin films
• Broadband quasi-PT Symmetry Sustained by Inhomogeneous Broadening of the Spectral Line
• Nonreciprocal wave propagation through open, discrete nonlinear Schroedinger dimers
• Exceptional Points of Degeneracy Induced by Linear Time-Periodic Variation Hamidreza
• Onset of Identical Synchronization in the Spatial Evolution of Optical Power in a Waveguide Coupler
• Unidirectional weak visibility in band gap and singular scattering in conduction band of one-dimensional parity-time symmetric photonic crystal
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system
• Free Particle to Complex KdV breathers through Isospectral Deformation
• Generalized Parity-Time Symmetry Condition for Enhanced Sensor Telemetry