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We consider conditions under which photonic crystals (PCs) can be homogenized in the higher photonic bands and, in particular, near the $\Gamma$-point. By homogenization we mean introducing some effective local parameters $\epsilon_{\rm…

Optics · Physics 2016-06-08 Vadim A. Markel , Igor Tsukerman

We measure the coherent scattering of light by a cloud of laser-cooled atoms with a size comparable to the wavelength of light. By interfering a laser beam tuned near an atomic resonance with the field scattered by the atoms we observe a…

Cooperative scattering has been the subject of intense research in the last years. In this article, we discuss the concept of cooperative scattering from a broad perspective. We briefly review the various collective effects that occur when…

Atomic Physics · Physics 2016-09-05 W Guerin , M. -T Rouabah , R Kaiser

The coherence of light from independent ensembles of elementary atomic emitters plays a paramount role in diverse areas of modern optics. We demonstrate the interference of photons scattered from independent ensembles of warm atoms in…

Quantum Physics · Physics 2026-02-19 Jaromír Mika , Stuti Joshi , Lukáš Lachman , Robin Kaiser , Lukáš Slodička

Dispersion properties of electromagnetic crystals formed by small uniaxial resonant scatterers (magnetic or electric) are studied using the local field approach. The goal of the study is to determine the conditions under which the…

Materials Science · Physics 2009-11-11 Pavel A. Belov , Constantin R. Simovski

In the context of providing a mathematical framework for the propagation of ultrasound waves in a random multiscale medium, we consider the scattering of classical waves (modeled by a divergence form scalar Helmholtz equation) by a bounded…

Analysis of PDEs · Mathematics 2023-09-15 Josselin Garnier , Laure Giovangigli , Quentin Goepfert , Pierre Millien

We consider a non-relativistic quantum particle in $\mathbb{R}^d$, $d=2$ or $d = 3$, interacting with singular zero-range potentials concentrated on a large collection of points. We analyze the homogenization regime where the intensities of…

Mathematical Physics · Physics 2026-03-24 Domenico Cafiero , Michele Correggi , Davide Fermi

We study the emergence of a collective optical response of a cold and dense $^{87}$Rb atomic cloud to a near-resonant low-intensity light when the atom number is gradually increased. Experimental observations are compared with microscopic…

We analyze the scattering of light from dipolar emitters whose disordered positions exhibit correlations induced by static, long-range dipole-dipole interactions. The quantum-mechanical position correlations are calculated for zero…

Quantum Gases · Physics 2024-01-23 G. J. Bean , N. D. Drummond , J. Ruostekoski

Analytic solutions for steady-state expectation values of atomic quantities and second order correlations are obtained for a fully quantum treatment of two stationary dipole-coupled atoms driven in a standard geometric configuration by a…

Quantum Gases · Physics 2020-02-05 Petra Fersterer , R. J. Ballagh

We study the homogenization of a diffusion process which takes place in a binary structure formed by an ambiental connected phase surrounding a suspension of very small spheres distributed in an $\veps$-periodic network. The asymptotic…

Analysis of PDEs · Mathematics 2007-05-23 Fadila Bentalha , Isabelle Gruais , Dan Polisevski

Coherent scattering of light by a single quantum emitter is a fundamental process at the heart of many proposed quantum technologies. Unlike atomic systems, solid-state emitters couple to their host lattice by phonons. Using a quantum dot…

Spin-polarised atomic ensembles probed by light based on the Faraday interaction are a versatile platform for numerous applications in quantum metrology and quantum information processing. Here we consider an ensemble of Alkali atoms that…

Quantum Physics · Physics 2022-05-11 Alexander Roth , Klemens Hammerer , Kirill S. Tikhonov

The dynamics of a collection of resonant atoms embedded inside an inhomogeneous nondispersive and lossless dielectric is described with a dipole Hamiltonian that is based on a canonical quantization theory. The dielectric is described…

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

In open-shell atoms and ions, processes such as photoionization, combination (Raman) scattering, electron scattering and recombination, are often mediated by many-electron compound resonances. We show that their interference (neglected in…

Atomic Physics · Physics 2015-05-14 V. V. Flambaum , M. G. Kozlov , G. F. Gribakin

We study theoretically the scattering of light by an ensemble of $N$ resonant atoms in a sub-wavelength volume. We consider the low intensity regime so that each atom responds linearly to the field. While $N$ non-interacting atoms would…

Atomic Physics · Physics 2020-02-26 N. J. Schilder , C. Sauvan , Y. R. P. Sortais , A. Browaeys , J. -J. Greffet

Thomson scattering of laser light is one of the most fundamental diagnostics of plasma density, temperature and magnetic fields. It relies on the assumption that the properties in the probed volume are homogeneous and constant during the…

Plasma Physics · Physics 2016-04-29 P. M. Kozlowski , B. J. B. Crowley , D. O. Gericke , S. P. Regan , G. Gregori

We study the three-dimensional nature of the quantum interface between an ensemble of cold, trapped atomic spins and a paraxial laser beam, coupled through a dispersive interaction. To achieve strong entanglement between the collective…

Squeezing of optical fields, used as a powerful resource for many applications, and the radiation properties in the process of high harmonic generation have thus far been considered separately. In this Letter, we want to clarify that the…

Light scattering in dense media is a fundamental problem of many-body physics, which is also relevant for the development of optical devices. In this work we investigate experimentally light propagation in a dense sample of randomly…

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