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Related papers: Quantum Electrodynamics with Time-varying Dielectr…

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This article is provides an introduction to the quantum theory of optics in nonlinear dielectric media. We begin with a short summary of the classical theory of nonlinear optics, that is nonlinear optics done with classical fields. We then…

Quantum Physics · Physics 2015-05-13 Mark Hillery

Solving the challenging problem of the amplification and generation of an electromagnetic field in nanostructures enables to implement many properties of the electromagnetic field at the nanoscale in novel practical applications. A…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 A. A. Zyablovsky , E. S. Andrianov , I. A. Nechepurenko , A. V. Dorofeenko , A. A. Pukhov , A. P. Vinogradov

We build up a consistent theory of quantum electrodynamics in the presence of macroscopic polarizable media. We use the Huttner-Barnett model of a dispersive and absorbing dielectric medium and formulate the theory in terms of interacting…

Quantum Physics · Physics 2012-08-17 Claudia Eberlein , Robert Zietal

We provide a theoretical framework to describe the dynamics of a free-electron beam interacting with quantized bound systems in arbitrary electromagnetic environments. This expands the quantum optics toolbox to incorporate free-electron…

A general theory of the interaction of the quantized electromagnetic field with atoms in the presence of dispersing and absorbing dielectric bodies of given Kramers--Kronig consistent permittivities is developed. It is based on a…

Quantum Physics · Physics 2009-11-06 Stefan Scheel , Dirk-Gunnar Welsch

After giving an outline of the quantization scheme based on the microscopic Hopfield model of a dielectric bulk material, we show how the classical phenomenological Maxwell equations of the electromagnetic field in the presence of…

Quantum Physics · Physics 2007-05-23 Ludwig Knoll , Stefan Scheel , Dirk-Gunnar Welsch

We investigate the dynamics of a charged particle interacting with a multimode quantized electromagnetic field and obtain an analytic solution for the full electron--field system. This framework enables the calculation of position…

Quantum cooperativity is evident in light-matter platforms where quantum emitter ensembles are interfaced with confined optical modes and are coupled via the ubiquitous electromagnetic quantum vacuum. Cooperative effects can find…

Quantum Physics · Physics 2023-08-07 Michael Reitz , Christian Sommer , Claudiu Genes

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

In this work, we detail different approaches to treat multi-mode photonic environments within non-relativistic quantum electrodynamics in the long-wavelength approximation efficiently. Specifically we show that for equilibrium properties of…

Quantum Physics · Physics 2025-12-08 Davis M. Welakuh , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We show that the material dependencies of macroscopically quantized fields in linear media are not consistent with the classical electromagnetic boundary conditions. We then phenomenologically construct macroscopic quantized fields that…

Quantum Physics · Physics 2009-02-24 Michael E. Crenshaw

The conventional description of time-varying media assumes that electromagnetic fields evolve according to fixed continuity conditions during parameter jumps. Here we reveal that these conditions are not physical constraints but tunable…

Optics · Physics 2026-03-24 Yongge Wang , Jingfeng Yao , Ying Wang , Chengxun Yuan , Zhongxiang Zhou

Analytical solutions are presented for the electromagnetic radiation by an arbitrary pulsed source into a homogeneous time-varying background medium. In the constant-impedance case an explicit radiation formula is obtained for the…

Classical Physics · Physics 2009-11-16 Neil V. Budko

Interaction of electromagnetic radiation with time-variant objects is a fundamental problem whose study involves foundational principles of classical electrodynamics. Such study is a necessary preliminary step for delineating the novel…

Applied Physics · Physics 2019-05-08 Grigorii Ptitcyn , Mohammad S. Mirmoosa , Sergei A. Tretyakov

The control of the interaction between several quantum emitters using nanophotonic structures holds great promise for quantum technology applications. However, the theoretical description of such processes for complex nanostructures is a…

We find the action that describes the electromagnetic field in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the…

Quantum Physics · Physics 2015-06-17 S. A. R. Horsley , T. G. Philbin

Investigating nanoplasmonics using time-dependent approaches permits shedding light on the dynamic optical properties of plasmonic structures, which are intrinsically connected with their potential applications in photochemistry and…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Piero Lafiosca , Luca Nicoli , Silvio Pipolo , Stefano Corni , Tommaso Giovannini , Chiara Cappelli

The light-matter interaction can be utilized to qualitatively alter physical properties of materials. Recent theoretical and experimental studies have explored this possibility of controlling matter by light based on driving many-body…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Yuto Ashida , Atac Imamoglu , Jerome Faist , Dieter Jaksch , Andrea Cavalleri , Eugene Demler

Light experiences dielectric matter as an effective gravitational field and matter experiences light as a form of gravity as well. Light and matter waves see each other as dual space-time metrics, thus establishing a unique model in field…

General Physics · Physics 2009-11-06 Ulf Leonhardt

We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We…

Mathematical Physics · Physics 2015-03-17 Vasily E. Tarasov