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Phys. Rev. A 56, 782–795 (1997)

QED for a fibrillar medium of two-level atoms

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André LeClair
Newman Laboratory, Cornell University, Ithaca, New York 14853

Received 6 May 1996; published in the issue dated July 1997

We consider a fibrillar medium with a continuous distribution of two-level atoms coupled to quantized electromagnetic fields. Perturbation theory is developed based on the current algebra satisfied by the atomic operators. The one-loop corrections to the dispersion relation for the polaritons and the dielectric constant are computed. Renormalization-group equations are derived that demonstrate a screening of the two-level splitting at higher energies. Our results are compared with known results in the slowly varying envelope and rotating-wave approximations. We also discuss the quantum sine-Gordon theory as an approximate theory.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.56.782
DOI:
10.1103/PhysRevA.56.782
PACS:
42.50.Ct, 42.50.Hz, 42.50.Fx