Optical realization of relativistic non-Hermitian quantum mechanics

Abstract

Light propagation in distributed feedback optical structures with gain/loss regions is shown to provide an accessible laboratory tool to visualize in optics the spectral properties of the one-dimensional Dirac equation with non-Hermitian interactions. Spectral singularities and PT symmetry breaking of the Dirac Hamiltonian are shown to correspond to simple observable physical quantities and related to well-known physical phenomena like resonance narrowing and laser oscillation.

4 pages

References in corpus (5)

• Making Sense of Non-Hermitian Hamiltonians
• Visualization of Branch Points in PT-Symmetric Waveguides
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Overcritical PT-symmetric square well potential in the Dirac equation

Cited by in corpus (115)

• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• The physics of exceptional points
• PT-symmetric laser-absorber
• Nonlinear switching and solitons in PT-symmetric photonic systems
• PT-Symmetric Electronics
• Invisibility in PT-symmetric complex crystals
• PT-Symmetric Talbot Effects
• Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Effective spontaneous PT-symmetry breaking in hybridized metamaterials
• Nonlinear modes in the harmonic PT-symmetric potential
• Experimental realization of Floquet PT-symmetric systems
• Bypassing the bandwidth theorem with PT symmetry
• Time Dependent $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Non-hermitian quantum thermodynamics
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Entanglement Entropy of Non Unitary Conformal Field Theory
• Bound states in the continuum in PT-symmetric optical lattices
• $\mathcal{P}\mathcal{T}$-symmetric microring laser-absorber
• Optical waveguide arrays: quantum effects and PT symmetry breaking
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
• Parity-time symmetry in optical microcavity systems
• Parity-time symmetry breaking in magnetic systems
• The Kibble-Zurek mechanism at exceptional points
• Bound states, scattering states and resonant states in PT-symmetric open quantum systems
• The robust $\mP\mT$-symmetric chain and properties of its Hermitian counterpart
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Experimental demonstration of asymmetric diffraction based on a passive parity-time-symmetric acoustic grating
• Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
• Dissipative Floquet Dynamical Quantum Phase Transition
• Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures
• $\mathcal{P}\mathcal{T}$-symmetric slowing-down of decoherence
• Perfect State Transfer in PT-symmetric Non-Hermitian Networks
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
• Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
• Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Optical lattices with exceptional points in the continuum
• Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling
• Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories
• Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them
• Perfect transmission scattering as a PT-symmetric spectral problem
• Optical Lattices with Higher-order Exceptional Points by Non-Hermitian Coupling
• Invisible defects in complex crystals
• Non-Hermitian Hamiltonian for a Modulated Jaynes-Cummings Model with PT Symmetry
• Discrete spacetime symmetries and particle mixing in non-Hermitian scalar quantum field theories
• Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point
• Type II Perfect Absorption and Amplification Modes with Controllable Bandwidth in PT-Symmetric/Traditional Bragg Grating Combined Structures
• A physical interpretation for the non-Hermitian Hamiltonian
• Hermitian scattering behavior for the non-Hermitian scattering center
• PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
• $\mathcal{P}\mathcal{T}$ phase control in circular multicore fibers
• Exceptional points and Bloch oscillations in non-Hermitian lattices with unidirectional hopping
• Confluent Crum-Darboux transformations in Dirac Hamiltonians with $PT$-symmetric Bragg gratings
• Tight-binding lattices with an oscillating imaginary gauge field
• Tunable waveguide lattices with non-uniform parity-symmetric tunneling
• Supersymmetric Bragg gratings
• Indifferent electromagnetic modes: bound states and topology
• Localized Single Frequency Lasing States in a Finite Parity-Time Symmetric Resonator Chain
• A note on topological insulator phase in non-hermitian quantum systems
• Pseudo Hermitian Generalized Dirac Oscillators
• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
• Geometric phase and phase diagram for non-Hermitian quantum XY model
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Repeatability of measurements: Equivalence of hermitian and non-hermitian observables
• Controlling the nonclassical properties of a hybrid Cooper pair box system and an intensity dependent nanomechanical resonator
• PT-symmetric optical superlattices
• Controlling Statistical Properties of a Cooper Pair Box Interacting with a Nanomechanical Resonator
• $\mathcal{P}\mathcal{T}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Discussion of the adiabatic hypothesis in control schemes using exceptional points
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Quasinormal mode analysis of chiral power flow from linearly polarized dipole emitters coupled to index-modulated microring resonators close to an exceptional point
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory
• Chaotic diffusion of complex trajectory and its quantum signature
• Phase shifted $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Non-Hermitian quantum rings
• Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave Analysis
• $\mathcal{P}\mathcal{T}$ Symmetric Hamiltonian Model and Dirac Equation in 1+1 dimensions
• $\mathcal{P}\mathcal{T}$-Symmetry in Hartree-Fock Theory
• Non-hermitian model for resonant cavities coupled by a chiral mirror
• Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Complete absorption of topologically protected waves
• Dirac equation with complex potentials
• Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Generalized Surface Polaritons and their quantum spin Hall effect
• Parity-Time Symmetry and Exceptional points: A Tutorial
• Complex Langevin Dynamics and Supersymmetric Quantum Mechanics
• Non-Hermitian CP-Symmetric Dirac Hamiltonians with Real Energy Eigenvalues
• Non-Hermitian wave packet approximation for coupled two-level systems in weak and intense fields
• Pseudo Hermitian interactions in the Dirac Equation
• Quantum Mechanics of Hyperbolic Metamaterials: Modeling of Quantum Time and Everett's Universal Wavefunction
• Gap solitons and symmetry breaking in parity-time symmetric microring CROWs
• Chiral-reversing vortex radiation from a single emitter by eigenstates phase locking
• Controlling Excitations Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator
• Non-Hermitian physics and engineering in silicon photonics
• The stabilizer group of honeycomb lattices and its application to deformed monolayers
• Engineering wavefront caustics trajectories in $\mathcal{P}\mathcal{T}$-symmetric lattices
• Beyond the Petermann limit: can exceptional points increase sensor precision?
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
• Non-hermitian off-diagonal magnetic response of Dirac fermions
• Does Cosmology require Hermiticity in Quantum Mechanics?
• Does Gravity Render Probability Quasilocal?
• PT and Anti-PT Symmetry Arising in Time Dependent Weak Value Measurements
• Defect solitons in defective PT potentials with real part of dual-frequency lattices
• $N$-channel comb filtering and lasing in $\mathcal{P}\mathcal{T}$-symmetric superstructures
• Smoking Gun Signatures of Quasilocal Probability in Black Hole Ringdowns