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Photon localization and Dicke superradiance in atomic gases

Authors
  • Akkermans, E.
  • Gero, A.
  • Kaiser, R.
Type
Published Article
Publication Date
Jun 05, 2008
Submission Date
Jun 05, 2008
Identifiers
DOI: 10.1103/PhysRevLett.101.103602
Source
arXiv
License
Yellow
External links

Abstract

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 \Gamma_{ij} = \sin (x_{ij}) / x_{ij}, where x_{ij} is the dimensionless random distance between any two atoms. Varying disorder and system size, a scaling behavior is observed for the escape rates. It is explained using microscopic calculations and a stochastic model which emphasizes the role of cooperative effects in photon localization and provides an interesting relation with statistical properties of "small world networks".

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