Cooperative effects in one-dimensional random atomic gases: Absence of single-atom limit
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 × 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.
- Publication:
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EPL (Europhysics Letters)
- Pub Date:
- March 2013
- DOI:
- 10.1209/0295-5075/101/54003
- arXiv:
- arXiv:1307.1888
- Bibcode:
- 2013EL....10154003A
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 5 pages, 3 figures