Response strengths of open systems at exceptional points
arXiv:2203.12920 · doi:10.1103/PhysRevResearch.4.023121
Abstract
Open quantum and wave systems exhibit exotic degeneracies at exceptional points in parameter space that have attracted considerable attention in various fields of physics, including optics and photonics. One reason is the strong response of open systems at such degeneracies to external perturbations and excitations. We introduce two characteristics of exceptional points that quantify the response in terms of energy eigenvalues and eigenstates, intensity, and dynamics. The concept is verified for several physically relevant examples. This work provides a new perspective on the physics of exceptional points.
arXiv comment13 pages, 5 figures
References in corpus (34)
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Localization transitions in non-Hermitian quantum mechanics
- Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
- Exceptional Points of Non-hermitian Operators
- Enhanced sensitivity operation of an optical gyroscope near an exceptional point
- Repulsion of Resonance States and Exceptional Points
- Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
- PT-Symmetric Electronics
- Observation of an exceptional point in a chaotic optical microcavity
- Encircling an Exceptional Point
- Sensing with exceptional surfaces: combining sensitivity with robustness
- No exceptional precision of exceptional point sensors
- Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions
- The Chirality of Exceptional Points
- Observation of a Chiral State in a Microwave Cavity
- Signatures of three coalescing eigenfunctions
- General Theory of Spontaneous Emission Near Exceptional Points
- Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
- Chiral Coherent Perfect Absorption on Exceptional Surfaces
- Arbitrary order exceptional point induced by photonic spin-orbit interaction in coupled resonators
- Superradiance Transition in Transport Through Nanosystems
- Chirality of wave functions for three coalescing levels
- Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
- Experimental realization of sensitivity enhancement and suppression with exceptional surfaces
- Rabi Oscillations at Exceptional Points in Microwave Billiards
- Robustness of exceptional-point-based sensors against parametric noise: The role of Hamiltonian and Liouvillian degeneracies
- Exceptional Point Engineered Glass Slide for Microscopic Thermal Mapping
- Interactions and scattering of quantum vortices in a polariton fluid
- Time-dependent Hamiltonians with 100% evolution speed efficiency
- Exceptional points-based optical amplifiers
- Interfering Doorway States and Giant Resonances. II: Transition Strengths
- Nonorthogonality constraints in open quantum and wave systems
- Enhanced response of non-Hermitian photonic systems near exceptional points
- Resources needed for non-unitary quantum operations
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- Petermann factors and phase rigidities near exceptional points
- Loss-difference-induced localization in a non-Hermitian honeycomb photonic lattice
- Revisiting the hierarchical construction of higher-order exceptional points
- Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
- Topological superconductivity enhanced by exceptional points
- Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
- Moving along an exceptional surface towards a higher-order exceptional point
- Generalized Petermann factor of non-Hermitian systems at exceptional points
- Higher-order exceptional points in composite non-Hermitian systems
- Exceptional Points and Lasing Thresholds: When Lower-Q Modes Win
- Fragmented exceptional points and their bulk and edge realizations in lattice models
- Exceptional deficiency of non-Hermitian systems
- Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
- Exceptional points in perturbed dielectric spheres: A resonant-state expansion study
- A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
- Exceptionally deficient topological square-root insulators
- Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling
- Exceptional-point-controlled mode interaction in three-dimensional microcavities represented by generalized Husimi functions
- Zero Indirect Band Gap in Non-Hermitian Systems
- Distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems