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We study superradiance in a one-dimensional geometry, where N>>1 atoms are randomly distributed along a line. We present an analytic calculation of the photon escape rates based on the diagonalization of the N x N coupling matrix Uij = cos…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 E. Akkermans , A. Gero

We numerically study photon escape rates from three-dimensional atomic gases and investigate the respective roles of cooperative effects and disorder in photon localization, while taking into account the vectorial nature of light. A scaling…

Atomic Physics · Physics 2021-02-16 L. Bellando , A. Gero , E. Akkermans , R. Kaiser

Photon propagation in a gas of N atoms is studied using an effective Hamiltonian describing photon mediated atomic dipolar interactions. The density P(\Gamma) of photon escape rates is determined from the spectrum of the N x N random matrix…

Mesoscale and Nanoscale Physics · Physics 2008-09-07 E. Akkermans , A. Gero , R. Kaiser

We study the influence of cooperative effects such as superradiance and subradiance, on the scattering properties of dilute atomic gases. We show that cooperative effects lead to an effective potential between pairs of atoms that decays…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 A. Gero , E. Akkermans

We investigate the properties of the cooperative decay modes of a cold atomic cloud, characterized by a Gaussian distribution in three dimensions, initially excited by a laser in the linear regime. We study the properties of the decay rate…

We experimentally investigate the mix-dimensional scattering occurring when the collisional partners live in different dimensions. We employ a binary mixture of ultracold atoms and exploit a species-selective 1D optical lattice to confine…

Quantum Gases · Physics 2010-04-16 G. Lamporesi , J. Catani , G. Barontini , Y. Nishida , M. Inguscio , F. Minardi

In the collective photon emission from atomic clouds both the atomic transition frequency and the decay rate are modified compared to a single isolated atom, leading to the effects of superradiance and subradiance. In this article, we…

We study the collective phenomenon in the scattering of a single-photon by one or two layers of two-level atoms. By modeling the photon dispersion with a two-dimensional (2D) coupled cavity array, we analytically derive the scattering…

Quantum Physics · Physics 2013-07-23 D. Z. Xu , Yong Li , C. P. Sun , Peng Zhang

We show that in atomic gases cooperative effects like superradiance and subradiance lead to a potential between two atoms that decays like $1/r$. In the case of superradiance, this potential is attractive for close enough atoms and can be…

Mesoscale and Nanoscale Physics · Physics 2008-09-07 A. Gero , E. Akkermans

Cooperative effects in the fluorescence of two dipole-interacting atoms, with macroscopic quantum jumps (light and dark periods), are investigated. The transition rates between different intensity periods are calculated in closed form and…

Quantum Physics · Physics 2009-11-06 S. Addicks , A. Beige , M. Dakna , G. -C. Hegerfeldt

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

We study the behavior of energy levels in two dimensions for exotic atoms, i.e., when a long-range attractive potential is supplemented by a short-range interaction, and compare the results with these of the one- and three-dimensional…

Atomic Physics · Physics 2011-05-12 Combescure Monique , Fayard Claude , Khare Avinash , Richard Jean-Marc

We study the connection between transport phenomenon and escape rate statistics in two-dimensional standard map. For the purpose of having an open phase space, we let the momentum co-ordinate vary freely and restrict only angle with…

Statistical Mechanics · Physics 2020-10-07 L. Lugosi , T. Kovács

Intermediate energy scale physics plays a very important role in non-equilibrium dynamics of quasi-low dimensional cold atom systems. In this article we obtain the universal scaling relations for the generalized reflection coefficient,…

Quantum Gases · Physics 2016-10-31 Jeff Maki , Fei Zhou

We study numerically the spectrum of the non-Hermitian effective Hamiltonian that describes the dipolar interaction of a gas of $N\gg 1$ atoms with the radiation field. We analyze the interplay between cooperative effects and disorder for…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 L. Bellando , A. Gero , E. Akkermans , R. Kaiser

Cooperative jump motions are studied for mutually interacting particles in a one-dimensional periodic potential. The diffusion constant for the cooperative motion in systems including a small number of particles is numerically calculated…

Statistical Mechanics · Physics 2015-05-14 Hidetsugu Sakaguchi

We study cooperative single-photon spontaneous emission from N multilevel atoms for different atomic distributions in optical vector theory. Instead of the average approximation for interatomic distance or the continuum approximation (sums…

Optics · Physics 2014-01-22 Wei Feng , Yong Li , Shi-Yao Zhu

In this work we study the scattering of pairs of photons by a two-level system ultrastrongly coupled to a one-dimensional waveguide. We describe this problem using a spin-boson model with an Ohmic environment $J(\omega)=\pi\alpha\omega^1.$…

Quantum Physics · Physics 2018-10-22 Vanessa Paulisch , Tao Shi , Juan Jose Garcia-Ripoll

We investigate the dispersion relations for light coupled to one-dimensional ensembles of atoms with different level schemes. The unifying feature of all the considered setups is that the forward and backward propagating quantum fields are…

Quantum Physics · Physics 2016-11-16 Ivan Iakoupov , Johan R. Ott , Darrick E. Chang , Anders S. Sørensen

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
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