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Toda potential in laser equations

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Zeitschrift für Physik B Condensed Matter

Abstract

We show that the well known laser rate equations are fully equivalent to the motion in a Toda potential with intensity dependent losses. The dissipative terms are proportional to the square root ε of the ratio between the damping rate of the atomic population inversion and that of the field intensity. The limit case ε≪1 is extensively studied, finding analytical approximations for the period of the oscillations and the energy losses. Feasibility of adiabatic eliminations is also discussed.

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References

  1. Arecchi, F.T., Lippi, G.L., Puccioni, G.P., Tredicce, J.R.: Opt. Comm.51, 308 (1984); J. Opt. Soc. Am. B (to appear)

    Google Scholar 

  2. Morsch, M., Risken, H., Vollmer, H.D.: Z. Phys. B.—Condensed Matter49, 47 (1982)

    Google Scholar 

  3. Lotka, A.: Proc. Natl. Acad. Sci.6, 420 (1920)

    Google Scholar 

  4. Volterra, V.: Leçons sur la Theorie Mathematique de la Lutte pour la Vie. Paris: Gauthier-Villars 1936

    Google Scholar 

  5. Nicolis, G., Prigogine, I.: Self Organization in nonequilibrium systems. New York: John Wiley 1977

    Google Scholar 

  6. Toda, M.: Phys. Rep.18, 1 (1975)

    Google Scholar 

  7. Haken, H.: Z. Phys.181, 96 (1964)

    Google Scholar 

  8. This result was already obtained following an alternative method (see Pantell, R.H., Puthoff, H.E.: Fundamentals in quantum electronics. New York: John Wiley 1969). The meaning ofE as a constant of motion, however, had not been clarified

    Google Scholar 

  9. Arecchi, F.T., Meucci, R., Puccioni, G., Tredicce, J.: Phys. Rev. Lett.49, 1217 (1982)

    Google Scholar 

  10. Arecchi, F.T., Lippi, G.L., Puccioni, G., Tredicce, J.: Coherence in quantum optics. Vol. V, p. 1227. New York: Plenum Press 1984

    Google Scholar 

  11. Rabinovich, M.I.: Usp. Fiz. Nauk125, 123 (1978) (Sov. Phys. Usp.21, 443 (1979))

    Google Scholar 

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Author notes

  1. G. L. Oppo

    Present address: Department of Chemistry, University of Toronto, M 5 S 1 A 1, Toronto, Canada

Authors and Affiliations

  1. Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125, Firenze, Italy

    G. L. Oppo & A. Politi

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  1. G. L. Oppo
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  2. A. Politi
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New address: Department of Chemistry, University of Toronto, Toronto, Canada M 5 S 1 A 1 (April 1985)

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Oppo, G.L., Politi, A. Toda potential in laser equations. Z. Physik B - Condensed Matter 59, 111–115 (1985). https://doi.org/10.1007/BF01325388

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  • DOI: https://doi.org/10.1007/BF01325388

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