Visualization of Branch Points in PT-Symmetric Waveguides

Abstract

The visualization of an exceptional point in a PT symmetric directional coupler(DC) is demonstrated. In such a system the exceptional point can be probed by varying only a single parameter. Using the Rayleigh-Schroedinger perturbation theory we prove that the spectrum of a PT symmetric Hamiltonian is real as long as the radius of convergence has not been reached. We also show how one can use a PT symmetric DC to measure the radius of convergence for non PT symmetric structures. For such systems the physical meaning of the rather mathematical term: radius of convergence, is exemplified.

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• Solitary waves of a PT-symmetric Nonlinear Dirac equation
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• Scattering properties of anti-parity-time symmetric non-Hermitian system
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• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
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• PT-symmetric optical superlattices
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• PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras
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• Non-Hermitian quantum rings
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• Integral Transforms and $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Universal scaling at a pre-thermal dark state
• A PT-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling
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• Superoscillatory PT-symmetric potentials
• Scattering of Spin-$\frac{1}{2}$ Particles from a $\mathcal{P}\mathcal{T}$-symmetric Complex Potential
• Lopsided optical diffraction in loop electromagnetically induced grating
• Frozen Mode Regime in an Optical Waveguide With Distributed Bragg Reflector
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• An attractor dynamics in a non-Hermitian two-level system
• New insights into mode behaviours in waveguides with impedance boundary conditions
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• Adjusting exceptional points using saturable nonlinearities
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Analytic approximation for eigenvalues of a class of $\mathcal{P}\mathcal{T}$ symmetric Hamiltonians
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
• Making the PT symmetry unbreakable
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• 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
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Asymmetric optical amplifier based on parity-time symmetry
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• PT-symmetric transport in non-PT-symmetric bi-layer optical arrays
• Semi-localization transition driven by a single asymmetrical tunneling
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• PT-symmetric and antisymmetric nonlinear states in a split potential box
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• Quantum transport in coupled resonators enclosed synthetic magnetic flux
• Non-adiabatic transitions in parabolic and super-parabolic $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian systems
• Effective size of a parity-time symmetric dimer
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Spatial transient behavior in waveguides with lossy impedance boundary conditions
• Understanding Partial PT symmetry as weighted composition conjugation in Reproducing Kernel Hilbert Space :An application to non-hermitian Bose-Hubbard type Hamiltonian in Fock space
• Interference of non-Hermiticity with Hermiticity at exceptional points
• Bifurcation of nonlinear eigenvalues in problems with antilinear symmetry
• Exotic light transition between superluminal and subliminal group velocity in a $\mathcal{P}\mathcal{T}$ coupled slab waveguide
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Using mixed many-body particle states to generate exact $\mathcal{P}\mathcal{T}$-symmetry in a time-dependent four-well system
• Non-orientability induced PT phase transition in Moebius ladder lattices
• Exceptional points in the elliptical three-disk scatterer using semiclassical periodic orbit quantization
• All-optical photon transmission switching in a passive-active optomechanical system
• Dissipation-Induced Super Scattering and Lasing PT-Spaser
• Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
• Dynamic Moiré-like pattern in non-Hermitian Wannier-Stark ladder system
• Extraction of power transmission parameters from PT-symmetric waveguides
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Observation of parity-time symmetry in electrically pumped FP laser
• Exceptional spectrum and dynamic magnetization
• Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Purity oscillations in coupled Bose-Einstein condensates
• Beam Dynamics in a Double-Channel Waveguide with Gain and Loss
• "Striped" Rectangular Rigid Box with Hermitian and non-Hermitian $\mathcal{P}\mathcal{T}$ Symmetric Potentials
• Emulating exceptional-point encirclements using imperfect (leaky) photonic components
• Spectroscopic Signatures of a Liouvillian Exceptional Spectral Phase in a Collective Spin
• Robust photon transmission in nonlinear parity-time-symmetric cavities
• Nonsensitive nonlinear homotopy approach
• Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity
• Discrete solitons dynamics in $\mathcal{P}\mathcal{T}$-symmetric oligomers with complex-valued couplings
• Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space
• Chiral behaviour for three wave guides at an exceptional point of third order
• Spectral branch points of the Bloch-Torrey operator
• PT symmetry and the evolution speed in open quantum systems
• Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators
• Topology with broken parity-time symmetry
• Parity-Time Symmetry Breaking in Coupled Nanobeam Cavities
• Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians
• Large Chern numbers in a dissipative dice model
• Localization with non-Hermitian off-diagonal disorder
• Spectral properties of the Bloch-Torrey operator in three dimensions
• Computing eigenfunctions and eigenvalues of boundary value problems with the orthogonal spectral renormalization method
• Defect solitons in defective PT potentials with real part of dual-frequency lattices
• $\mathcal{P}\mathcal{T}$-symmetric tight-binding model with asymmetric couplings
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• PT-Rotations, PT-Spherical Harmonics and the PT-Hydrogen Atom