Fundamental constraints on the observability of non-Hermitian effects in passive systems
arXiv:2207.09014 · doi:10.1103/PhysRevA.106.063509
Abstract
Utilizing scattering theory, we quantify the consequences of physical constraints that limit the visibility of non-Hermitian effects in passive devices. The constraints arise from the fundamental requirement that the system obeys causality, and can be captured concisely in terms of an internal time-delay operator, which furthermore provides a direct quantitative measure of the visibility of specific non-Hermitian phenomena in the density of states. We illustrate the implications by contrasting different symmetry classes and non-Hermitian effects, including exceptional points and the non-Hermitian skin effect, whose underlying extreme mode nonorthogonality turns out to be effectively disguised.
References in corpus (13)
- Coherent Perfect Absorbers: Time-reversed Lasers
- Loss-induced suppression and revival of lasing
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Selective enhancement of topologically induced interface states in a dielectric resonator chain
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Active topological photonics
- PT-Symmetric Talbot Effects
- Linear response theory of open systems with exceptional points
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Robust localized zero-energy modes from locally embedded PT-symmetric defects
- Topological directed amplification
Cited by in corpus (8)
- Topological Non-Hermitian skin effect
- Transient non-Hermitian skin effect
- High-order spectral singularity
- Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
- Quantum metric dependent anomalous velocity in systems subject to complex electric fields
- Optical non-Hermitian skin effect in two-dimensional uniform media
- Exceptional points in perturbed dielectric spheres: A resonant-state expansion study
- Observation of non-Hermitian point gap in photonic crystals