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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 1, Iss. 6 — Sep. 15, 1997
  • pp: 160–168

Modification of local field effects in two level systems due to quantum corrections

S. F. Yelin and M. Fleischhauer  »View Author Affiliations


Optics Express, Vol. 1, Issue 6, pp. 160-168 (1997)
http://dx.doi.org/10.1364/OE.1.000160


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Abstract

Quantum corrections to the Lorentz-Lorenz formula are given for a dense ensemble of atoms interacting with the quantized radiation field. The influence of these corrections on local-field effects in two-level systems is discussed in the non-cooperative limit. For initially inverted atoms we find superluminescence and radiation trapping. Furthermore it is shown that the quantum corrections set strong limitations to intrinsic optical bistability.

© Optical Society of America

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(270.1670) Quantum optics : Coherent optical effects
(270.2500) Quantum optics : Fluctuations, relaxations, and noise

ToC Category:
Focus Issue: Local field effects

History
Original Manuscript: August 21, 1997
Published: September 15, 1997

Citation
S. Yelin and Michael Fleischhauer, "Modification of local field effects in two level systems due to quantum corrections," Opt. Express 1, 160-168 (1997)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-1-6-160


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References

  1. H. A. Lorentz, Wiedem. Ann. 9, 641 (1880).
  2. L. Lorenz, Wiedem. Ann. 11, 70 (1881).
  3. M. Born and E. Wolf, Principles of Optics, (Wiley, New York, 1975).
  4. N. Bloembergen, Nonlinear Optics, (Benjamin, New York, 1965).
  5. C. M. Bowden and J. Dowling, Near-dipole-dipole effects in dense media: Generalized Maxwell-Bloch equations," Phys. Rev. A 47, 1247 (1993). [CrossRef] [PubMed]
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  8. R. W. Boyd, Nonlinear Optics, (Academic Press, Boston, 1992).
  9. C. M. Bowden and C. C. Sung, "First and second order phase transitions in the Dicke model: Relation to optical bistability," Phys. Rev. A 19, 2392 (1979). [CrossRef]
  10. F. A. Hopf, C. M. Bowden, and W. H. Louisell, "Mirrorless optical bistability with the use of the local-eld correction," Phys. Rev. A 29, 2591 (1984). [CrossRef]
  11. A.S. Manka, J.P. Dowling, C.M. Bowden, and M. Fleischhauer, "Piezophotonic Switching Due to Local Field Eects in a Coherently Prepared Medium of Three-Level Atoms," Phys. Rev. Lett. 73, 1789 (1994). [CrossRef] [PubMed]
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  13. See for example the review article: M. Gross and S. Haroche, "Supperradiance: An essay on the theory of collective spontaneous emission" Phys. Rep. 93, 302-396 (1982). [CrossRef]
  14. See also the recent textbook: A. V. Andreev, V.I. Emelyanov, and Yu. A. Ilinskii, Cooperative Effects in Optics, (Malvern Physics Series, IOP Publishing, London 1993).
  15. M. Fleischhauer and S. F Yelin, "Quantum corrections to the Lorentz-Lorenz relation: Generalized Maxwell-Bloch equations for radiative interactions in dense atomic media", (unpublished).
  16. see for example: W. H.Louisell, Quantum Statistical Properties of Radiation, (John Wiley & Sons, New York, 1973).
  17. M.P.Hehlen,H. U. G udel, Q. Shu, J. Rai, S. Rai, and S. C. Rand, "Cooperative Bistability in Dense, Excited Atomic Systems" Phys. Rev. Lett. 73, 1103 (1994). [CrossRef] [PubMed]
  18. M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, "Quasi-dark resonances in phase-coherent media," (unpublished)

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