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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 5, Iss. 6 — Jun. 1, 1988
  • pp: 1335–1340

Three-state systems driven by resonant optical pulses of different shapes

C. E. Carroll and F. T. Hioe  »View Author Affiliations


JOSA B, Vol. 5, Issue 6, pp. 1335-1340 (1988)
http://dx.doi.org/10.1364/JOSAB.5.001335


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Abstract

New analytic solutions to the problem of a three-state system driven simultaneously by resonant optical pulses of different shapes are presented. The solutions are useful for prescribing the conditions for complete population transfer from one state to another or for complete population return.

© 1988 Optical Society of America

Citation
C. E. Carroll and F. T. Hioe, "Three-state systems driven by resonant optical pulses of different shapes," J. Opt. Soc. Am. B 5, 1335-1340 (1988)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-5-6-1335


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References

  1. See, e.g., L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
  2. F. T. Hioe and C. E. Carroll, Phys. Rev. A 32, 1541 (1985).
  3. J. Zakrzewski, M. Lewenstein, and R. Kuklinski, J. Phys. B 18, 4631 (1985).
  4. C. E. Carroll and F. T. Hioe, J. Phys. A 19, 3579 (1986).
  5. References 1–4 contain many other references to the two-state model.
  6. E. Arimondo and G. Orriols, Nuovo Cimento Lett. 17, 333 (1976).
  7. R. G. Brewer and E. L. Hahn, Phys. Rev. A 11, 1641 (1975).
  8. H. R. Gray, R. M. Whitley, and C. R. Stroud, Jr., Opt. Lett. 3, 218 (1978).
  9. J. D. Stettler, C. M. Bowden, N. M. Witriol, and J. H. Eberly, Phys. Lett. 73A, 171 (1979).
  10. R. J. Cook and B. W. Shore, Phys. Rev. A 20, 539 (1979).
  11. J. H. Eberly, B. W. Shore, Z. Bialynicka-Birula, and I. Bialynicka-Birula, Phys. Rev. A 16, 2038 (1977).
  12. F. T. Hioe and J. H. Eberly, Phys. Rev. Lett. 47, 838 (1981); Phys. Rev. A 25, 2168 (1982).
  13. H. P. W. Gottlieb, Phys. Rev. A 26, 3713 (1982); 32, 653 (1985).
  14. F. T. Hioe, Phys. Rev. A 29, 3434 (1984).
  15. D. T. Pegg, J. Phys. B 18, 415 (1985).
  16. F. T. Hioe, Phys. Rev. A 28, 879 (1983); 30, 3097 (1984); 32, 2824 (1985); J. Opt. Soc. Am. B 5, 859 (1988).
  17. S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, and D. T. Pegg, Opt. Acta 33, 1129 (1986).
  18. F. T. Hioe, J. Opt. Soc. Am B 4, 1327 (1987). The (3, 1) element for j = 1 in Eq. (16) of this reference should be +blowast;2.
  19. C. E. Carroll and F. T. Hioe, Phys. Rev. A 36, 724 (1987).
  20. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1, p. 56.
  21. Ref. 20, p. 182.
  22. N. Rosen and C. Zener, Phys. Rev. 40, 502 (1932).

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