Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
arXiv:1109.4932 · doi:10.1103/PhysRevA.84.063833
Abstract
PT-symmetric optical resonators combine absorbing regions with active, amplifying regions. The latter are the source of radiation generated via spontaneous and stimulated emission, which embodies quantum noise and can result in lasing. We calculate the frequency-resolved output radiation intensity of such systems and relate it to a suitable measure of excess noise and mode nonorthogonality. The lineshape differs depending on whether the emission lines are isolated (as for weakly amplifying, almost hermitian systems) or overlapping (as for the almost degenerate resonances in the vicinity of exceptional points associated to spontaneous PT-symmetry breaking). The calculations are carried out in the scattering input-output formalism, and are illustrated for a quasi one-dimensional resonator set-up. In our derivations we also allow for the more general case of a resonator in which the amplifying and absorbing regions are not related by symmetry.
15 pages, 4 figures
References in corpus (14)
- Making Sense of Non-Hermitian Hamiltonians
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Coherent Perfect Absorbers: Time-reversed Lasers
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
- Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
- PT-Symmetric Wave Chaos
- Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
- Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
- Excess quantum noise due to mode nonorthogonality in dielectric microresonators
- Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
- Creation of New Lasing Modes with Spatially Nonuniform Gain
Cited by in corpus (48)
- Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
- Petermann-factor limited sensing near an exceptional point
- General Theory of Spontaneous Emission Near Exceptional Points
- Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
- Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
- Spontaneous Generation of Photons in Transmission of Quantum Fields in PT Symmetric Optical Systems
- Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: incandecence and luminescence in arbitrary geometries
- Breaking of PT-symmetry in bounded and unbounded scattering systems
- -symmetric microring laser-absorber
- Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between and anti- symmetries
- Parity-time symmetry in optical microcavity systems
- Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
- Dark state lasers
- Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
- Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
- Transfer matrix study of the Anderson transition in non-Hermitian systems
- Linear response theory of open systems with exceptional points
- Exceptional points-based optical amplifiers
- Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers
- Convective and absolute PT symmetry breaking in tight-binding lattices
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Quantum correlations in -symmetric systems
- Symmetry in optics and photonics: a group theory approach
- Observation of resonance-assisted dynamical tunneling in an asymmetric microcavity
- Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
- Quantum interference and exceptional points
- Enhanced response of non-Hermitian photonic systems near exceptional points
- Hidden PT Symmetry and quantization of coupled-oscillators model of QASER
- Non-Hermitian quantum dynamics and entanglement of coupled nonlinear resonators
- Gain-Loss Coupled Systems
- Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
- 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
- The Pauli equation with complex boundary conditions
- Anomalous spontaneous emission dynamics at chiral exceptional points
- Fundamental constraints on the observability of non-Hermitian effects in passive systems
- Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
- Modal Purcell factor in -symmetric waveguides
- Non-hermitian model for resonant cavities coupled by a chiral mirror
- Parity-Time Synthetic Laser
- Geometric contribution to adiabatic amplification in non-Hermitian systems
- Generalized Petermann factor of non-Hermitian systems at exceptional points
- Dynamics of mode entanglement in a system of cavities coupled with a chiral mirror
- Fragmented exceptional points and their bulk and edge realizations in lattice models
- Exceptional points in perturbed dielectric spheres: A resonant-state expansion study
- Exceptionally deficient topological square-root insulators
- Synchronization in PT-symmetric optomechanical resonators
- Quantum Simulation of Two-Level -Symmetric Systems Using Hermitian Hamiltonians