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Quantum Laser Theory. Langevin Approach

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Quantum Optics

Part of the book series: Advanced Texts in Physics ((ADTP))

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Abstract

In the previous chapter, we studied the influence of the pump statistics on the amplitude and phase fluctuations of the laser radiation, making use of the master equation approach. We thus derived a generalized master equation in terms of a parameter p that represented the probability for an atom to be excited to the upper level, before entering into the cavity. The two extreme cases were p → 0 (Poisson statistics) and p → 1 (regular statistics). What we found was that the pump statistics had no influence on the phase fluctuations or linewidth, but had a strong influence on the photon number fluctuations.

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References

  1. C. Benkert, M.O. Scully, J. Bergou, L. Davidovich, M. Hillery, M. Orszag, Phys. Rev. A 41, 2756 (1990).

    Article  ADS  Google Scholar 

  2. For a different approach to pump noise, see: S. Machida, Y. Yamamoto, Y. Itaya, Phys. Rev. Lett. 58, 100 (1987);

    ADS  Google Scholar 

  3. M. Marte, H. Ritsch, D.F. Walls, Phys. Rev. Lett. 61, 1093 (1988).

    Article  ADS  Google Scholar 

  4. For many papers on the various interpretations of the quantum phase, see for example: Quantum Phase and Quantum Phase Measurements, edited by W.P. Schleich, S.M.W. Barnett, Physica Scripta T48 (1993).

    Google Scholar 

  5. A.L. Schawlow, C.H. Townes, Phys. Rev. 112, 1940 (1958).

    Article  ADS  Google Scholar 

  6. N.G. Van Kampen, Stochastic Processes in Physics and Chemistry ( North-Holland, Amsterdam, 1981 ).

    MATH  Google Scholar 

  7. C.W. Gardiner, Handbook of Stochastic Processes (Springer, Berlin, Heidelberg, 1985 ).

    Google Scholar 

  8. M.T. Fontenelle, L. Davidovich, Phys. Rev. A 51, 2560 (1995).

    Article  ADS  Google Scholar 

  9. F.S. Choa, M.H. Shih, J.Y. Fan, G.J. Simonis, P.L. Liu, T. Tanburn-Ek, R.A. Logan, W.T. Trang, A.M. Sargent, App. Phys. Lett. 67, 2777 (1995).

    Article  ADS  Google Scholar 

  10. D.L. Huffaken, J. Shin, D.G. Deppe, App. Phys. Lett. 66, 1723 (1995);

    Article  ADS  Google Scholar 

  11. D.L. Huffaken, H. Deng, Q. Deng, D.G. Deppe, App. Phys. Lett. 69, 3477 (1997).

    Article  ADS  Google Scholar 

  12. Z. Feit, M. McDonald, R.J. Woods, V. Archambault, P. Mak, App. Phys. Lett. 68, 738 (1996).

    Article  ADS  Google Scholar 

  13. H. Taniguchi, H. Tomisawa, J. Kido, App. Phys. Lett. 66, 1578 (1995);

    Article  ADS  Google Scholar 

  14. S. Tanosaki, H. Taniguchi, K. Tsujita, H. Inaba, App. Phys. Lett. 69, 719 (1996).

    Article  ADS  Google Scholar 

  15. K. An, J.J. Childs, R.R. Desari, M.S. Feld, Phys. Rev. Lett. 73, 3375 (1994).

    Article  ADS  Google Scholar 

  16. I. Protsenko, P. Domokos, V. Lefevre-Seguin, J. Hare, J.M. Raimond, L. Davidovich, Phys. Rev. A 59, 1667 (1999).

    Article  ADS  Google Scholar 

Further Reading

  • C.W. Gardiner, Quantum Noise (Springer, Berlin, Heidelberg, 1991 ).

    Google Scholar 

  • H. Haken, Laser Theory (Springer, Berlin, Heidelberg, 1970 ).

    Google Scholar 

  • H. Haken, Light, Vols 1 and 2 ( Springer, Berlin, Heidelberg, 1981 ).

    Google Scholar 

  • M. Lax, in Physics of Quantum Electronics, edited by P.L. Kelley, B. Lax, P.E. Tannenwald ( McGraw-Hill, New York, 1966 ).

    Google Scholar 

  • M. Lax, in Statistical Physics, Phase Transition and Superconductivity, Vol II, edited by M. Chretien, E.P. Gross, S. Dreser ( Gordon and Breach, New York, 1968 ).

    Google Scholar 

  • H. Risken, The Fokker-Planck Equation (Springer, Berlin, Heidelberg, 1984 ).

    Book  MATH  Google Scholar 

  • M. Sargent III, M.O. Scully, W.E. Lamb, Laser Physics ( Addison Wesley, Reading, MA, 1974 ).

    Google Scholar 

  • M.O. Scully, M.S. Zubairy, Quantum Optics ( Cambridge University Press, Cambridge, 1997 )

    Google Scholar 

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Orszag, M. (2000). Quantum Laser Theory. Langevin Approach. In: Quantum Optics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04114-7_12

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  • DOI: https://doi.org/10.1007/978-3-662-04114-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04116-1

  • Online ISBN: 978-3-662-04114-7

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