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arXiv · 1307.1888

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

E. Akkermans·A. Gero
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Abstract

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.

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E. Akkermans, A. Gero. 2013-07-07. Cooperative effects in one-dimensional random atomic gases: Absence of single atom limit. https://doi.org/10.1209/0295-5075%2F101%2F54003

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