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We provide a simple semi-classical formalism to describe the coupling between one or several quantum emitters and a structured environment. Describing the emitter by an electric polarizability, and the surrounding medium by a Green…

Optics · Physics 2019-01-30 Dorian Bouchet , Rémi Carminati

A cloud of cold N two-level atoms driven by a resonant laser beam shows cooperative effects both in the scattered radiation field and in the radiation pressure force acting on the cloud center-of-mass. The induced dipoles synchronize and…

Atomic Physics · Physics 2013-02-05 Tom Bienaime , Romain Bachelard , Nicola Piovella , Robin Kaiser

An effective Hamiltonian and equations of motion for treating both the resonant dipole-dipole interaction between two-level atoms and the resonant atom-field interaction are derived, which can suitably be used for studying the influence of…

Quantum Physics · Physics 2016-08-16 D. -G. Welsch , Ho Trung Dung , L. Knöll

Within the framework of quantization of the macroscopic electromagnetic field, equations of motion and an effective Hamiltonian for treating both the resonant dipole-dipole interaction between two-level atoms and the resonant atom-field…

Quantum Physics · Physics 2016-08-16 Ho Trung Dung , Ludwig Knöll , Dirk-Gunnar Welsch

Spontaneous emission and Lamb shift of atoms in absorbing dielectrics are discussed. A Green's-function approach is used based on the multipolar interaction Hamiltonian of a collection of atomic dipoles with the quantised radiation field.…

Quantum Physics · Physics 2009-10-31 Michael Fleischhauer

Mesoscopic interference effects in multiple scattering of photons depend crucially on the internal structure of the scatterers. In the present article, we develop the analytical theory of multiple photon scattering by cold atoms with…

Macroscopic field quantization is presented for a nondispersive photonic dielectric environment, both in the absence and presence of guest atoms. Starting with a minimal-coupling Lagrangian, a careful look at functional derivatives shows…

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

We describe the resonant interaction of an atom with a strongly focused light beam by expanding the field in multipole waves. For a classical field, or when the field is described by a coherent state, we find that both intensity pattern and…

Quantum Physics · Physics 2009-11-10 S. J. van Enk

We present a generic transfer matrix approach for the description of the interaction of atoms possessing multiple ground state and excited state sublevels with light fields. This model allows us to treat multi-level atoms as classical…

Quantum Physics · Physics 2011-01-24 André Xuereb , Peter Domokos , Peter Horak , Tim Freegarde

Photon-mediated dipole-dipole interactions arise from atom-light interactions, which are universal and prevalent in a wide range of open quantum systems. This pairwise and long-range spin-exchange interaction results from multiple light…

Quantum Physics · Physics 2025-03-11 H. H. Jen

We study how the radiative properties of a dense ensemble of atoms can be modified when they are placed near or between metallic or dielectric surfaces. If the average separation between the atoms is comparable or smaller than the…

Quantum Physics · Physics 2018-06-06 Ryan Jones , Jemma A. Needham , Igor Lesanovsky , Francesco Intravaia , Beatriz Olmos

When atoms are coupled to a common electromagnetic environment, the exchange of photons through dipole-dipole interactions leads to the emergence of cooperative effects. As a particular example, superradiance arises from spontaneous…

Quantum Physics · Physics 2024-09-11 Hanzhen Ma , Oriol Rubies-Bigorda , Susanne F. Yelin

The interaction of light with an atomic sample containing a large number of particles gives rise to many collective (or cooperative) effects, such as multiple scattering, superradiance and subradiance, even if the atomic density is low and…

Atomic Physics · Physics 2017-05-31 William Guerin , Robin Kaiser

We present a method to systematically study multi-photon transmission in one dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix…

Quantum Physics · Physics 2017-05-24 Tian Feng See , Changsuk Noh , Dimitris G. Angelakis

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

We compare two different models of transport of light in a disordered system with a spherical Gaussian distribution of scatterers. A coupled dipole model, keeping into account all interference effects, is compared to an incoherent model,…

In this paper, we propose an effective model including a macroscopic Hamiltonian to describe the interactions between a two-level atom and scattered light in a 1-D dielectric waveguide. The proposed formalism allows us to incorporate the…

Optics · Physics 2019-12-11 Fatih Dinç , İlke Ercan

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

Scattering problems are the classical tools for modeling of light-matter interaction. In this paper, we investigate the solution of the dipole scattering problem under different incident radiation.s In particular, we compare the two cases…

Optics · Physics 2024-10-22 Yuriy A. Akimov

We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The…

Optics · Physics 2017-07-06 Derek W. Watson , Stewart D. Jenkins , Janne Ruostekoski
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