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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 3, Iss. 4 — Apr. 1, 1986
  • pp: 587–594

Statistics of dephasing perturbations and relaxational processes in a high-power optic field: application to free-induction decay

P. A. Apanasevich, S. Ya. Kilin, A. P. Nizovtsev, and N. S. Onishchenko  »View Author Affiliations


JOSA B, Vol. 3, Issue 4, pp. 587-594 (1986)
http://dx.doi.org/10.1364/JOSAB.3.000587


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Abstract

It is shown that the dependence of relaxational processes on radiation intensity associated with the finiteness of correlation time τc of relaxational perturbations is to a great extent defined by the statistics of these perturbations. Generalized master equations (GME's) that take into account the nonvanishing correlation time τc are obtained by using the characteristic operator method. With the Gaussian statistics assumption for adiabatic perturbations causing a stochastic transition-frequency modulation, these GME's are used to reveal the main features of the free-induction-decay rate dependence on radiation power. Good agreement with the experiment of DeVoe and Brewer [Phys. Rev. Lett. 50, 1263 (1983)] is obtained. Our preceding theory [Opt. Commun. 52, 279 (1984)] based on the correlation (Born) approximation closely agrees with the results of this paper at τc/T2 « 1 and T1/T2 < 3.67.

© 1986 Optical Society of America

Citation
P. A. Apanasevich, S. Ya. Kilin, A. P. Nizovtsev, and N. S. Onishchenko, "Statistics of dephasing perturbations and relaxational processes in a high-power optic field: application to free-induction decay," J. Opt. Soc. Am. B 3, 587-594 (1986)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-3-4-587


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References

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  16. It should be noted that Eq. (24) differs from the expression for Dω(t) that could be obtained from Eq. (7) by using the second-order cumulant expansion by the total time ordering. For the general explanation of the second-order cumulant-expansion procedure, see, e.g., N. G. Van Kampen, in Fundamental Problems in Statistical Mechanics III, E. G. D. Cohen, ed. (North-Holland, Amsterdam, 1975), p. 257–276. For its application to coherent optical transients, see E. Hanamura, J. Phys. Soc. Jpn. 52, 2258–2266 (1983) and also Refs. 8 and 10.
  17. The renormalization of system-field interaction (of Rabi frequency) by collisions was discussed also by Zaidi (Can. J. Phys. 59, 750–767 (1981), using the Feynman-diagram technique for the GME derivation.
  18. Equations (26) in the limit of t » τc were also obtained in Ref. 8 [see Eq. (9) of Ref. 8] using the second-order cumulant expansion and assumption K0τc « 1. Our derivation employing the only assumption of Gaussian statistics for relaxational perturbations is free from such limitations.
  19. The possibility of three-exponential FID's was pointed out in Ref. 8, but, unfortunately, a detailed analysis of such a FID regime was not made in this paper.
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  24. R. Boscaino, F. M. Gelardi, and G. Messina, "Second-harmonic free-induction decay in a two-level spin system," Phys. Rev. A 28, 495–497 (1983).

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