Cooperative effects and photon localization in atomic gases: The two-dimensional case

Abstract

We study photon escape rates from two-dimensional atomic gases while taking into account cooperative effects between the scatterers. Based on the spectrum of the random Euclidean matrix Uij = Jo(xij), where xij is the dimensionless random distance between any two atoms, a scaling behavior for the escape rates is obtained. This behavior is similar to the one obtained in the three-dimensional case, but qualitatively different from the result obtained in one dimension.

8 pages, 4 figures

References in corpus (5)

• Photon localization and Dicke superradiance in atomic gases
• Eigenvalue distributions of large Euclidean random matrices for waves in random media
• Effect of superradiance on transport of diffusing photons in cold atomic gases
• Cooperative effects in one-dimensional random atomic gases: Absence of single atom limit
• Superradiance and multiple scattering of photons in atomic gases

Cited by in corpus (4)

• Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian
• Renormalization to localization without a small parameter
• Hidden Modes in Open Disordered Media: Analytical, Numerical, and Experimental Results
• Roles of cooperative effects and disorder in photon localization: The case of a vector radiation field