General Theory of Spontaneous Emission Near Exceptional Points
arXiv:1604.06478 · doi:10.1364/OE.25.012325
Abstract
We present a general theory of spontaneous emission at exceptional points (EPs)---exotic degeneracies in non-Hermitian systems. Our theory extends beyond spontaneous emission to any light--matter interaction described by the local density of states (e.g., absorption, thermal emission, and nonlinear frequency conversion). Whereas traditional spontaneous-emission theories imply infinite enhancement factors at EPs, we derive finite bounds on the enhancement, proving maximum enhancement of 4 in passive systems with second-order EPs and significantly larger enhancements (exceeding ) in gain-aided and higher-order EP systems. In contrast to non-degenerate resonances, EPs are associated with non-Lorentzian emission curves, leading to enhancements that scale polynomially with the resonance quality factor.
15 pages, 7 figures
References in corpus (12)
- The physics of exceptional points
- Coherent Perfect Absorbers: Time-reversed Lasers
- Loss-induced suppression and revival of lasing
- Topological energy transfer in an optomechanical system with exceptional points
- Reversing the Pump-Dependence of a Laser at an Exceptional Point
- Inverse design of third-order Dirac exceptional points in photonic crystals
- A non-Hermitian symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
- Self-consistent multi-mode lasing theory for complex or random lasing media
- Ab-initio multimode linewidth theory for arbitrary inhomogeneous laser cavities
- Fano-Feshbach resonances in two-channel scattering around exceptional points
- Eigenvector Expansion and Petermann Factor for Ohmically Damped Oscillators
- Scalable computation of Jordan chains
Cited by in corpus (81)
- Non-Hermitian Physics
- Outlook for inverse design in nanophotonics
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Light interaction with photonic and plasmonic resonances
- Enhanced sensitivity operation of an optical gyroscope near an exceptional point
- Observation of coherent perfect absorption at an exceptional point
- Topological states of non-Hermitian systems
- Inverse design of third-order Dirac exceptional points in photonic crystals
- Perfectly absorbing exceptional points and chiral absorbers
- Topology optimization of freeform large-area metasurfaces
- Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
- Fluctuations and noise-limited sensing near the exceptional point of -symmetric resonator systems
- Non-Hermitian engineering of terahertz light using exceptional points in electrically tuneable collective light-matter interactions
- Observation of anti-parity-time-symmetry, phase transitions and exceptional points in an optical fibre
- Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
- Hierarchical construction of higher-order exceptional points
- Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between and anti- symmetries
- Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
- Achieving arbitrary polarization control using complex birefringent meta-materials
- Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
- Anisotropic exceptional points of arbitrary order
- Limits to the Optical Response of Graphene and 2D Materials
- Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points
- Fermi's golden rule for spontaneous emission in absorptive and amplifying media
- Room-temperature exceptional-point-driven polariton lasing from perovskite metasurface
- Linear response theory of open systems with exceptional points
- Modal Expansion of the Scattered Field: Causality, Non-Divergence and Non-Resonant Contribution
- Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers
- Unveiling the Enhancement of Spontaneous Emission at Exceptional Points
- Quasinormal-mode perturbation theory for dissipative and dispersive optomechanics
- Control of spontaneous emission dynamics in microcavities with chiral exceptional surfaces
- Response strengths of open systems at exceptional points
- Ab initio few-mode theory for quantum potential scattering problems
- Imaginary couplings in non-Hermitian coupled-mode theory: Effects on exceptional points of optical resonators
- Nonlinear exceptional-point lasing with ab-initio Maxwell-Bloch theory
- Quantum interference and exceptional points
- Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
- Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
- Exceptional points for resonant states on parallel circular dielectric cylinders
- Excitation of absorbing exceptional points in the time domain
- Exceptional points in dielectric spheroid
- Near-unit efficiency of chiral state conversion via hybrid-Liouvillian dynamics
- Enhanced response of non-Hermitian photonic systems near exceptional points
- Ab-initio Theory of Photoionization via Resonances
- Classical Purcell factors and spontaneous emission decay rates in a linear gain medium
- Quasinormal mode analysis of chiral power flow from linearly polarized dipole emitters coupled to index-modulated microring resonators close to an exceptional point
- Non-orthogonal cavity modes near exceptional points in the far field
- Enhanced emission from a single quantum dot in a microdisk at a deterministic diabolical point
- Dynamic gain and frequency comb formation in exceptional-point lasers
- Giant Amplification of Small Perturbations in Frictional Amorphous Solid
- Dressed bound states at chiral exceptional points
- Anomalous spontaneous emission dynamics at chiral exceptional points
- Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
- Modal Purcell factor in -symmetric waveguides
- Effects of non-uniform distributions of gain and loss in photonic crystals
- The effect of polarization on the propagation distance of leaky guided modes
- Coherent single-spin electron resonance spectroscopy manifested at an exceptional-point singularity in a doped polyacetylene
- Nonlinear transition between PT-symmetric and PT-broken modes in coupled fiber lasers
- Broadband Dipole Absorption in Dispersive Photonic Time Crystals
- Generalized Petermann factor of non-Hermitian systems at exceptional points
- Spontaneous emission decay and excitation in photonic time crystals
- Gain-compensated metal cavity modes and a million-fold improvement of Purcell factors
- Three-dimensional-subwavelength field localization, time reversal of sources, and infinite-asymptotic degeneracy in spherical structures
- Chiral-reversing vortex radiation from a single emitter by eigenstates phase locking
- Exceptional points in perturbed dielectric spheres: A resonant-state expansion study
- Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
- Non-Hermitian physics and engineering in silicon photonics
- Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
- Definition of Polaritonic Fluctuations in Natural Hyperbolic Media: Applications to Hexagonal Boron Nitride, Bismuth Selenide and the Spontaneous Emission Sum Rule
- Fundamental issues with light propagation through -symmetric systems
- Efficient algorithms for surface density of states in topological photonic and acoustic systems
- Observation of plasmonic exceptional points
- Insight of the Green's function as a defect state in a boundary value problem
- An asymptotic field approach for the control of dipole emission in integrated structures
- Physical limits on electromagnetic response
- Chiral modes near exceptional points in symmetry broken H1 photonic crystal cavities
- QNMnonreciprocal_resonators: an openly available toolbox for computing the QuasiNormal Modes of nonreciprocal resonators
- Characteristic influence of exceptional points in quantum dynamics
- Impact of noise on nonlinear-exceptional-point-based sensors
- Anomalous Spontaneous Emission Enhancement by Non-Hermitian Momentum-Space Bound States in the Continuum
- Surface density-of-states on semi-infinite topological photonic and acoustic crystals