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We present an overview of the framework of macroscopic quantum electrodynamics from a quantum nanophotonics perspective. Particularly, we focus our attention on three aspects of the theory which are crucial for the description of quantum…

These notes, intended to be self contained and tutorial, present a direct, macroscopic approach to quantizing light inside a linear-response dielectric material when both spectral dispersion and spatial nonuniformity are present, but the…

Quantum Physics · Physics 2020-02-19 Michael G. Raymer

A canonical relativistic formulation is introduced to quantize electromagnetic field in the presence of a polarizable and magnetizable moving medium. The medium is modeled by a continuum of four vectors in a phenomenological way. The…

Quantum Physics · Physics 2009-08-18 M. Amooshahi

This article presents a comprehensive three-dimensional canonical quantization to treat quantum plasmonics for finite metallic or dielectric media of arbitrary shape. We use a microscopic model for the dissipative and dispersive medium…

Quantum Physics · Physics 2025-04-18 Georgii Semin , Hans-Rudolf Jauslin , Stephane Guerin

In this article, we review the principles of macroscopic quantum electrodynamics and discuss a variety of applications of this theory to medium-assisted atom-field coupling and dispersion forces. The theory generalises the standard mode…

Quantum Physics · Physics 2009-03-02 Stefan Scheel , Stefan Yoshi Buhmann

We develop a consistent quantum description of surface plasmons interacting with quantum emitters and external electromagnetic field. Within the framework of macroscopic electrodynamics in dispersive and absorptive medium, we derive, in the…

Mesoscale and Nanoscale Physics · Physics 2021-01-21 Tigran V. Shahbazyan

Here, we present an overview of recent developments in the characterization of electromagnetic and quantum metamaterials using effective medium methods. It is highlighted that both electromagnetic and electronic systems can be homogenized…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Mario G. Silveirinha

Canonical quantization of electromagnetic field inside the time--spatially dispersive inhomogeneous dielectrics is presented. Interacting electromagnetic and matter excitation fields create the closed system, Hamiltonian of which may be…

Quantum Physics · Physics 2009-10-28 Zdenek Hradil

A simple approach is proposed for the quantization of the electromagnetic field in nonlinear and inhomogeneous media. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined…

Quantum Physics · Physics 2009-10-30 Lu-Ming Duan , Guang-Can Guo

The electromagnetic field is canonically quantized in the presence of a linear, dispersive and dissipative medium that is in uniform motion. Specifically we calculate the change in the normal modes of the coupled matter-field system and…

Quantum Physics · Physics 2012-08-21 S. A. R. Horsley

This paper is the first of two papers devoted to formulation of quantum mechanics of a particle in a normal geodesic frame of reference in the general Riemannian space-time. Here canonical quantization of geodesic motion in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. A. Tagirov

By modeling a linear, anisotropic and inhomogeneous magnetodielectric medium with two independent set of harmonic oscillators, electromagnetic field is quantized in such a medium. The electric and magnetic polarizations of the medium are…

Quantum Physics · Physics 2009-08-18 M. Amooshahi , F. Kheirandish

General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength two-form and induction two-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory…

High Energy Physics - Theory · Physics 2011-05-10 Sergio Rivera , Frederic P. Schuller

In absence of currents and charges the quantized electromagnetic field can be described by wave functions which for each individual wave vector are normalized to one. The resulting formalism involves reducible representations of the…

Quantum Physics · Physics 2017-05-05 Jan Naudts

The emerging field of plasmonics can lead to enhanced light matter interactions at extremely nanoscale regions. Plasmonic (metallic) devices promise to efficiently control both classical and quantum properties of light. Plasmonic waveguides…

Optics · Physics 2022-07-22 Ying Li , Christos Argyropoulos

Optomagnetics emerges as a growing field of research cross-linking optics, magnetism and material science. Here, we provide a microscopic quantum mechanical and a macroscopic classical models to describe optomagnetic effects from nonlinear…

Optics · Physics 2020-09-10 A. Hamed Majedi , Brahim Lounis

In this paper we deal with the macroscopic electromagnetic response of a finite size dispersive dielectric object, in unbounded space, in the framework of quantum electrodynamics using the Heisenberg picture. We apply a Hopfield type scheme…

Quantum Physics · Physics 2022-09-14 Carlo Forestiere , Giovanni Miano

We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the…

Mathematical Physics · Physics 2016-05-24 Sergey I. Kryuchkov , Nathan A. Lanfear , Sergei K. Suslov

Quantum behavior of the electromagnetic field in unbounded macroscopic media displaying absorption is properly described by the Langevin noise formalism (macroscopic quantum electrodynamics) where the field is assumed to be entirely…

Quantum Physics · Physics 2024-07-03 Alessandro Ciattoni

There are several possible applications of quantum electrodynamics in dielectric media which require a quantum description for the electromagnetic field interacting with matter fields. The associated quantum models can refer to macroscopic…

Quantum Physics · Physics 2016-01-08 F. Belgiorno , S. L. Cacciatori , F. Dalla Piazza