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We are concerned with the direct and inverse scattering problems associated with a time-harmonic random Schr\"odinger equation with unknown source and potential terms. The well-posedness of the direct scattering problem is first…

Analysis of PDEs · Mathematics 2020-04-29 Jingzhi Li , Hongyu Liu , Shiqi Ma

An approach to modeling the dynamics of x-ray amplified spontaneous emission and superfluorescence -- the phenomenon of collective x-ray emission initiated by intense pulses of X-ray Free Electron Lasers -- is developed based on stochastic…

We investigate the spontaneous emission of a two-level system, e.g. an atom or atomlike object, coupled to a single-end, i.e., semi-infinite, one-dimensional photonic waveguide such that one end behaves as a perfect mirror while light can…

Quantum Physics · Physics 2013-01-23 T. Tufarelli , F. Ciccarello , M. S. Kim

We discuss a possible form for a theory akin to local density functional theory, but able to produce van der Waals energies in a natural fashion. The usual Local Density Approximation (LDA) for the exchange and correlation energy $E_{xc}$…

Soft Condensed Matter · Physics 2007-05-23 John F. Dobson

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

We demonstrate that calculating the spontaneous emission decay rate from metastable resonance states (states with finite lifetimes embedded in the continuum) requires considering transitions to all continuum states, not just to lower…

Quantum Physics · Physics 2025-09-24 Amir Sivan , Milan Šindelka , Meir Orenstein , Nimrod Moiseyev

We consider a slowly varying time dependent d-level atom interacting with a photon field. Restricted to the single excitation atom-field sector, the model is a time-dependent generalization of the Wigner-Weisskopf model describing…

Mathematical Physics · Physics 2023-06-14 Alain Joye , Marco Merkli

We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an initial value problem with excitation from a source which…

Analysis of PDEs · Mathematics 2016-02-17 Liliana Borcea , Josselin Garnier

We first present a quasinormal mode (QNM) theory for coupled loss-gain resonators working near an exceptional point. Assuming linear media, which can be fully quantified using the complex pole properties of the QNMs, we show how the QNMs…

Optics · Physics 2021-11-04 Juanjuan Ren , Sebastian Franke , Stephen Hughes

In this work the induced van der Waals interaction between a pair of neutral atoms or molecules is considered by use of a statistical mechanical method. Commonly this interaction is obtained by standard quantum mechanical perturbation…

Quantum Physics · Physics 2015-05-20 Johan S. Høye

We suggest a better mathematical method, fractional calculus, for studying the behavior of the atom-field interaction in photonic crystals. By studying the spontaneous emission of an atom in a photonic crystal with one-band isotropic model,…

Materials Science · Physics 2015-05-13 Szu-Cheng Cheng , Jing-Nuo Wu , Ming-Rung Tsai , Wen-Feng Hsieh

We study the spontaneous emission from a regular lateral array or a randomly distributed ensemble of quantum dots under strong excitation (full inversion) conditions. We focus on the similarities and differences between the cases of random…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Wildan Abdussalam , Paweł Machnikowski

An analytical perturbation theory of short-pulse, matter-wave superradiant scatterings is presented. We show that Bragg resonant enhancement is incapacitated and both positive and negative order scatterings contribute equally. We further…

Quantum Gases · Physics 2015-05-19 L. Deng , E. W. Hagley

The QED vacuum polarization in external monochromatic plane-wave electromagnetic fields is calculated with spatial and temporal variations of the external fields being taken into account. We develop a perturbation theory to calculate the…

High Energy Physics - Phenomenology · Physics 2019-12-06 Akihiro Yatabe , Shoichi Yamada

Localized scattering phenomena may result in the formation of stationary matter waves originating from a compact region in physical space. Mathematically, such waves are advantageously expressed in terms of quantum sources that are…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Christian Bracher , Manfred Kleber

We examine one of the standard loci for studying electromagnetic wave emission -- the radiation from an oscillating electric dipole -- in a model in which the electromagnetic sector is modified to include novel CPT- and Lorentz-violating…

High Energy Physics - Theory · Physics 2024-02-07 Joshua O'Connor , Brett Altschul

(Shortened due to character limit) This thesis consists of two parts. In part I we consider a discrepancy in the derivation of the electromagnetic self force for a point charge. In the point charge framework the self force can be defined as…

Accelerator Physics · Physics 2013-04-17 Michael R. Ferris

In a $\Lambda$ system with two nearly degenerate ground states and one excited state in an atom or quantum dot, spontaneous radiative decay can lead to a range of phenomena, including electron-photon entanglement, spontaneously generated…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sophia E. Economou , Ren-Bao Liu , L. J. Sham , D. G. Steel

The spontaneous emission rate of a radiating atom reaches its time-independent equilibrium value after an initial transient regime. In this paper we consider the associated relaxation effects of the spontaneous decay rate of atoms in…

Quantum Physics · Physics 2007-10-31 Martijn Wubs , L. G. Suttorp

Strong dipole-exchange interactions due to spontaneously produced contaminant states can trigger rapid dephasing in many-body Rydberg ensembles [E. Goldschmidt et al., PRL 116, 113001 (2016)]. Such broadening has serious implications for…

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