1307.1888 (E. Akkermans et al.)

Cooperative effects in one-dimensional random atomic gases: Absence of
single atom limit    [PDF]

E. Akkermans, A. Gero

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 xij, where xij is the dimensionless random distance between any two atoms. We show that unlike a three-dimensional geometry, for a one- dimensional atomic gas the single-atom limit is never reached and the photon is always localized within the atomic ensemble. This localization originates from long-range cooperative effects and not from disorder as expected on the basis of the theory of Anderson localization.

View original: http://arxiv.org/abs/1307.1888