Connecting classical and quantum mode theories for coupled lossy cavity resonators using quasinormal modes

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.

21 pages, 9 figures

References in corpus (6)

• Controlled coupling of counterpropagating whispering-gallery modes by a single Rayleigh scatterer: a classical problem in a quantum optical light
• Brillouin-Wigner perturbation theory in open electromagnetic systems
• Identifying modes of large whispering-gallery mode resonators from the spectrum and emission pattern
• Quantized quasinormal mode description of non-linear cavity QED effects from coupled resonators with a Fano-like resonance
• Design of an efficient single photon source from a metallic nanorod dimer: a quasinormal mode finite-difference time-domain approach
• Fluctuation-dissipation theorem and fundamental photon commutation relations in lossy nanostructures using quasinormal modes

Cited by in corpus (11)

• Quantized quasinormal mode theory of coupled lossy and amplifying resonators
• 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