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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 present quantum Maxwell-Bloch equations (QMBE) for spatially inhomogeneous optical semiconductor devices taking into account the quantum noise effects which cause spontaneous emission and amplified spontaneous emission. Analytical…

Quantum Physics · Physics 2007-05-23 Ortwin Hess , Holger F. Hofmann

We present an implementation of the Maxwell-Bloch (MB) formalism for the study of x-ray emission dynamics from periodic multilayer materials whether they are artificial or natural. The treatment is based on a direct…

Optics · Physics 2021-04-14 O. Peyrusse , P. Jonnard , J. -M. André

We present quantum Maxwell-Bloch equations (QMBE) for spatially inhomogeneous semiconductor laser devices. The QMBE are derived from fully quantum mechanical operator dynamics describing the interaction of the light field with the quantum…

Optics · Physics 2009-10-31 Holger F. Hofmann , O. Hess

We simulate the transition from amplified spontaneous emission (ASE) to lasing in random systems with varying degrees of mode overlap. This is accomplished by solving the stochastic Maxwell-Bloch equations with the finite-difference…

Optics · Physics 2010-12-30 Jonathan Andreasen , Hui Cao

The transition from the amplification of spontaneous emission to superfluorescence in a three-level and swept-gain medium excited by an X-ray free electron laser pulse is theoretically investigated. Given the specific time scale of X-ray…

Quantum Physics · Physics 2020-02-25 Yu-Hung Kuan , Wen-Te Liao

A recently introduced theoretical framework for modeling the dynamics of X-ray amplified spontaneous emission is based on stochastic sampling of the density matrix of quantum emitters and the radiation field, similarly to other phase-space…

Optics · Physics 2024-06-17 Stasis Chuchurka , Vladislav Sukharnikov , Nina Rohringer

For a planar FEL configuration we study stimulated coherent spontaneous emission driven by a gradient of the bunch current in the presence of different levels of noise in bunches. To perform a vast amount of simulations required for…

Accelerator Physics · Physics 2013-12-03 V. A. Goryashko , V. Ziemann

The rate of spontaneous emission is known to depend on the environment of a light source, and the enhancement of one-photon emission in a resonant cavity is known as the Purcell effect. Here we develop a theory of spontaneous two-photon…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Alexander N. Poddubny , Pavel Ginzburg , Pavel A. Belov , Anatoly V. Zayats , Yuri S. Kivshar

In this article we present a systematic derivation of the Maxwell-Bloch equations describing amplification and laser action in a ring cavity. We derive the Maxwell-Bloch equations for a two-level medium and discuss their applicability to…

Quantum Physics · Physics 2007-06-13 German J. de Valcarcel , Eugenio Roldan , F. Prati

A quantum kinetic equation coupled with Maxwell's equation is used to estimate the laser power required at an XFEL facility to expose intrinsically quantum effects in the process of QED vacuum decay via spontaneous pair production. A 9…

Nuclear Theory · Physics 2010-03-04 C. D. Roberts , S. M. Schmidt , D. V. Vinnik

The local-field renormalization of the spontaneous emission rate in a dielectric is explicitly obtained from a fully microscopic quantum-electrodynamical, many-body derivation of Langevin-Bloch operator equations for two-level atoms…

Quantum Physics · Physics 2009-11-06 Michael E. Crenshaw , Charles M. Bowden

A new three dimensional model of the FEL is presented. A system of scaled, coupled Maxwell Lorentz equations are derived in the paraxial limit. A minimal number of limiting assumptions are made and the equations are not averaged in the…

Optics · Physics 2008-12-11 C. K. W. Nam , P. Aitken , B. W. J. McNeil

Axion electrodynamics extends Maxwell's theory by postulating a hypothetical pseudoscalar axion field sourced by a scalar product of electric and magnetic fields. In this work, we demonstrate that a superposition of toroidal electromagnetic…

High Energy Physics - Phenomenology · Physics 2026-04-08 Wangke Yu , Nikitas Papasimakis , Nikolay I. Zheludev , Yijie Shen

We study amplified spontaneous emission (ASE) from wavelength-scale composite bodies--complicated arrangements of active and passive media--demonstrating highly directional and tunable radiation patterns, depending strongly on pump…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Weiliang Jin , Chinmay Khandekar , Adi Pick , Athanasios G. Polimeridis , Alejandro W. Rodriguez

The combination of Maxwell and X-ray Bloch equations forms an appropriate framework to describe ultrafast time-resolved X-ray experiments on attosecond time scale in crystalline solids. However, broadband experiments such as X-ray…

Materials Science · Physics 2025-04-16 Joris Sturm , Ivan Maliyov , Dominik Christiansen , Malte Selig , Marco Bernardi , Andreas Knorr

It is a straightforward result of electromagnetism that dipole oscillators radiate more strongly when they are synchronized, and that if there are $N$ dipoles, the overall emitted intensity scales with $N^2$. In atomic physics, such an…

Optics · Physics 2020-07-22 C. Braggio , F. Chiossi , G. Carugno , A. Ortolan , G. Ruoso

We consider damped driven Maxwell-Bloch equations for a single-mode Maxwell field coupled to a two-level molecule. The equations are used for semiclassical description of the laser action. Our main result is the construction of solutions…

Analysis of PDEs · Mathematics 2026-03-31 A. I. Komech , E. A. Kopylova

Linear theory of the parametric beam instability or the self-amplification of parametric x-ray radiation (PXR) from relativistic electrons in a crystal is considered taking into account finite emittance of the electron beam and absorption…

Accelerator Physics · Physics 2015-09-07 Ihar Lobach , Andrei Benediktovitch , Ilya Feranchuk

Parametric amplification of attosecond coherent pulses around 100 eV at the single-atom level is demonstrated for the first time by using the 3D time-dependent Schr{\"o}dinger equation in high-harmonic generation processes from excited…

Optics · Physics 2020-08-26 C. Serrat , J. Seres , E. Seres , T-H. Dinh , N. Hasegawa , M. Nishikino , S. Namba
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