Wave emission and absorption at spectral singularities
arXiv:1611.00572 · doi:10.1103/PhysRevA.94.053834
Abstract
We studied the critical dynamics of spectral singularities. The system investigated is a coupled resonator array with a side-coupled loss (gain) resonator. For a gain resonator, the system acts as a wave emitter at spectral singularities. The reflection probability increased linearly over time. The rate of increase is proportional to the width of the incident wave packet, which served as the spectral singularity observer in the experiment. For a lossy resonator, the system acts as a wave absorber. The emission and absorption states at spectral singularities coalesce in a finite parity-time (PT ) symmetric system that combined by the gain and loss structures cut from corrresponding scattering systems at spectral singularities; in this case, the PT -symmetric system is at an exceptional point with a 2 * 2 Jordan block. The dynamics of the PT -symmetric system exhibit the characteristic of exceptional points and spectral singularities.
References in corpus (18)
- The physics of exceptional points
- Coherent Perfect Absorbers: Time-reversed Lasers
- Loss-induced suppression and revival of lasing
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
- Physics counterpart of the PT non-hermitian tight-binding chain
- Delta-Function Potential with a Complex Coupling
- Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
- Scattering theory with localized non-Hermiticities
- Spectral singularities in PT-symmetric periodic finite-gap systems
- Asymmetric transmission through a flux-controlled non-Hermitian scattering center
- Scattering theory using smeared non-Hermitian potentials
- Fundamental length in quantum theories with PT-symmetric Hamiltonians
- Fingerprints of exceptional points in the survival probability of resonances in atomic spectra
- Exceptional points and Bloch oscillations in non-Hermitian lattices with unidirectional hopping
- Impurity Scattering of Wave Packets on a Lattice
- Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs