Connecting classical and quantum mode theories for coupled lossy cavity resonators using quasinormal modes
arXiv:2108.10194 · doi:10.1021/acsphotonics.1c01274
Abstract
We present a quantized quasinormal approach to rigorously describe coupled lossy resonators, and quantify the quantum coupling parameters as a function of distance between the resonators. We also make a direct connection between classical and quantum quasinormal modes parameters and theories, offering new and unique insights into coupled open cavity resonators. We present detailed calculations for coupled microdisk resonators and show striking interference effects that depend on the phase of the quasinormal modes, an effect that is also significant for high quality factor modes. Our results demonstrate that commonly adopted master equations for such systems are generally not applicable and we discuss the new physics that is captured using the quantized quasinormal mode coupling parameters and show how these relate to the classical mode parameters. Using these new insights, we also present several models to fix the failures of the dissipative Jaynes-Cummings type models for coupled cavity resonators. Additionally, we show how to improve the classical and quantum lossless mode models (i.e., using normal modes) by employing a non-diagonal mode expansion based on the knowledge of the quasinormal mode eigenfrequencies, and analytical coupled mode theory, to accurately capture the mode interference effects for high quality factors.
arXiv comment21 pages, 9 figures
References in corpus (44)
- Ultrastrong coupling between light and matter
- Ultrastrong coupling regimes of light-matter interaction
- Light interaction with photonic and plasmonic resonances
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics
- Controlled coupling of counterpropagating whispering-gallery modes by a single Rayleigh scatterer: a classical problem in a quantum optical light
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- Modes and Mode Volumes of Leaky Optical Cavities and Plasmonic Nanoresonators
- Rigorous modal analysis of plasmonic nanoresonators
- Effective mode volumes and Purcell factors for leaky optical cavities
- Quantization of quasinormal modes for open cavities and plasmonic cavity-QED
- QED commutation relations for inhomogeneous Kramers-Kronig dielectrics
- Brillouin-Wigner perturbation theory in open electromagnetic systems
- Observation of a Dissipation-Induced Classical to Quantum Transition
- Exact mode volume and Purcell factor of open optical systems
- Normalization of quasinormal modes in leaky optical cavities and plasmonic resonators
- Antenna-cavity hybrids: matching polar opposites for Purcell enhancements at any linewidth
- A multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics
- Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics
- Quasimodal expansion of electromagnetic fields in open two-dimensionnal structures
- Quasinormal-mode expansion of the scattering matrix
- Fano resonances and their control in optomechanics
- Identifying modes of large whispering-gallery mode resonators from the spectrum and emission pattern
- Modal theory of modified spontaneous emission for a hybrid plasmonic photonic-crystal cavity system
- Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators
- Fano diagonalization of a polariton model for an inhomogeneous absorptive dielectric
- Molecular optomechanics in the anharmonic cavity-QED regime using hybrid metal-dielectric cavity modes
- Quantum dynamics of two quantum dots coupled through localized plasmons: An intuitive and accurate quantum optics approach using quasinormal modes
- Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
- Quantized quasinormal mode description of non-linear cavity QED effects from coupled resonators with a Fano-like resonance
- Fermi's golden rule for spontaneous emission in absorptive and amplifying media
- Second-quantization of open systems using quasinormal modes
- Design of an efficient single photon source from a metallic nanorod dimer: a quasinormal mode finite-difference time-domain approach
- On the theory of coupled modes in optical cavity-waveguide structures
- Efficient near-field to far-field transformations for quasinormal modes of optical cavities and plasmonic resonators
- Theory and limits of on-demand single photon sources using plasmonic resonators: a quantized quasinormal mode approach
- Resonant Spectrum Analysis of the Conductance of Open Quantum System and Three Types of Fano Parameter
- A coupling model for quasi-normal modes of photonic resonators
- Spectral symmetry of Fano resonances in a waveguide coupled to a microcavity
- Semi-analytical quasi-normal mode theory for the local density of states in coupled photonic crystal cavity-waveguide structures
- Fluctuation-dissipation theorem and fundamental photon commutation relations in lossy nanostructures using quasinormal modes
- A master equation for a two-sided optical cavity
- Quasinormal mode theory of elastic Purcell factors and Fano resonances of optomechanical beams
- Squeezing enhanced atom-cavity interaction in coupled cavities with high dissipation rates
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- Certifying multi-mode light-matter interaction in lossy resonators
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- Gauge-invariant theory of truncated quantum light-matter interactions in arbitrary media
- 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
- Impact of mode regularization for quasinormal mode perturbation theories
- Multimode non-Hermitian framework for third harmonic generation in nonlinear photonic systems comprising 2D materials
- Low-loss Millimeter-wave Resonators with an Improved Coupling Structure
- Quantization of optical quasinormal modes for spatially separated cavity systems with finite retardation
- Green's function expansion for multiple coupled optical resonators with finite retardation using quasinormal modes
- A scalar product for the radiation of resonant modes
- Quantization of Polaritons Confined in Dielectric Structures