Patrick Maurer, Carlos Gonzalez-Ballestero, Oriol Romero-Isart
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Quantum Electrodynamics with a Nonmoving Dielectric Sphere: Quantizing Lorenz-Mie Scattering
We quantize the electromagnetic field in the presence of a nonmoving dielectric sphere in vacuum. The sphere is assumed to be lossless, dispersionless, isotropic, and homogeneous. The quantization is performed using normalized eigenmodes as well as plane-wave modes. We specify two useful alternative bases of normalized eigenmodes: spherical eigenmodes and scattering eigenmodes. A canonical transformation between plane-wave modes and normalized eigenmodes is derived. This formalism is employed to study the scattering of a single photon, coherent squeezed light, and two-photon states off a dielectric sphere. In the latter case, we calculate the second-order correlation function of the scattered field, thereby unveiling the angular distribution of the Hong–Ou–Mandel interference for a dielectric sphere acting as a three-dimensional beam splitter. Our results are analytically derived for a dielectric sphere of arbitrary refractive index and size with a particular emphasis on the small-particle limit. As shown in Phys. Rev. A 108 , 033714 ( 2023 ) PLRAAN 1050-2947 10.1103/PhysRevA.108.033714 , this work sets the theoretical foundation for describing the quantum interaction between light and the motional, rotational, and vibrational degrees of freedom of a dielectric sphere.
期刊介绍:
The Journal of the Optical Society of America B (JOSA B) is a general optics research journal that complements JOSA A. It emphasizes scientific research on the fundamentals of the interaction of light with matter such as quantum optics, nonlinear optics, and laser physics. Topics include:
Advanced Instrumentation and Measurements
Fiber Optics and Fiber Lasers
Lasers and Other Light Sources from THz to XUV
Light-Induced Phenomena
Nonlinear and High Field Optics
Optical Materials
Optics Modes and Structured Light
Optomechanics
Metamaterials
Nanomaterials
Photonics and Semiconductor Optics
Physical Optics
Plasmonics
Quantum Optics and Entanglement
Quantum Key Distribution
Spectroscopy and Atomic or Molecular Optics
Superresolution and Advanced Imaging
Surface Optics
Ultrafast Optical Phenomena
Wave Guiding and Optical Confinement
JOSA B considers original research articles, feature issue contributions, invited reviews and tutorials, and comments on published articles.