Quasi-normal mode approach to the local-field problem in quantum optics

Abstract

The local-field (LF) problem of a finite-size dipole emit- ter radiating inside a lossy inhomogeneous structure is a long-standing and challenging quantum optical problem, and it now is becoming more important due to rapid advances in solid-state fabrication technologies. Here we introduce a simple and accurate quasi-normal mode (QNM) technique to solve this problem analyti- cally by separating the scattering problem into contribu- tions from the QNM and an image dipole. Using a real- cavity model to describe an artificial atom inside a lossy and dispersive gold nanorod, we show when the contri- bution of the QNM to LFs will dominate over the homo- geneous contribution. We also show how to accurately describe surface scattering for real cavities that are close to the metal interface and explore regimes when the surface scattering dominates. Our results offer an intui- tive picture of the underlying physics for the LF problem and facilitate the understanding of novel photon sources within lossy structures

Dissipative Quantum Electromagnetics

“…and reported in many papers [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]. Its importance is underscored by recent papers in the field [27], [28]. Since the manipulation of single photon is occurring in microwave regime, it is appropriate to call this emerging field quantum electromagnetics [29, ref.…”

Normalization approach for scattering modes in classical and quantum electrodynamics

“…Such quantization procedure can be also applied to slightly more complicated optical systems such as dielectric waveguides [26] or photonic crystals [27,28], where the eigenmodes are invariant or at least Bloch-periodic in at least one direction. Moreover, eigenmodes of isolated scatterers [29,30,31,32,33,34,35] and their quantization [36] are currently intensively explored.…”

Leaky-mode expansion of the electromagnetic field inside dispersive spherical cavity

“…1), offer a natural framework for open and lossy waveguides and optical cavities. 2 Not surprisingly, numerous applications span different fields including the description of optical waveguides, 3 resonator cavities, 4,5 photonic structures, 6,7 plasmons, 8,9 and even black holes, 10 offering a simplified and more economical alternative to the treatment based on a continuum of normal modes.…”