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
C. Benkert, M.O. Scully, J. Bergou, L. Davidovich, M. Hillery, M. Orszag, Phys. Rev. A 41, 2756 (1990).
For a different approach to pump noise, see: S. Machida, Y. Yamamoto, Y. Itaya, Phys. Rev. Lett. 58, 100 (1987);
M. Marte, H. Ritsch, D.F. Walls, Phys. Rev. Lett. 61, 1093 (1988).
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).
A.L. Schawlow, C.H. Townes, Phys. Rev. 112, 1940 (1958).
N.G. Van Kampen, Stochastic Processes in Physics and Chemistry ( North-Holland, Amsterdam, 1981 ).
C.W. Gardiner, Handbook of Stochastic Processes (Springer, Berlin, Heidelberg, 1985 ).
M.T. Fontenelle, L. Davidovich, Phys. Rev. A 51, 2560 (1995).
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).
D.L. Huffaken, J. Shin, D.G. Deppe, App. Phys. Lett. 66, 1723 (1995);
D.L. Huffaken, H. Deng, Q. Deng, D.G. Deppe, App. Phys. Lett. 69, 3477 (1997).
Z. Feit, M. McDonald, R.J. Woods, V. Archambault, P. Mak, App. Phys. Lett. 68, 738 (1996).
H. Taniguchi, H. Tomisawa, J. Kido, App. Phys. Lett. 66, 1578 (1995);
S. Tanosaki, H. Taniguchi, K. Tsujita, H. Inaba, App. Phys. Lett. 69, 719 (1996).
K. An, J.J. Childs, R.R. Desari, M.S. Feld, Phys. Rev. Lett. 73, 3375 (1994).
I. Protsenko, P. Domokos, V. Lefevre-Seguin, J. Hare, J.M. Raimond, L. Davidovich, Phys. Rev. A 59, 1667 (1999).
Further Reading
C.W. Gardiner, Quantum Noise (Springer, Berlin, Heidelberg, 1991 ).
H. Haken, Laser Theory (Springer, Berlin, Heidelberg, 1970 ).
H. Haken, Light, Vols 1 and 2 ( Springer, Berlin, Heidelberg, 1981 ).
M. Lax, in Physics of Quantum Electronics, edited by P.L. Kelley, B. Lax, P.E. Tannenwald ( McGraw-Hill, New York, 1966 ).
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 ).
H. Risken, The Fokker-Planck Equation (Springer, Berlin, Heidelberg, 1984 ).
M. Sargent III, M.O. Scully, W.E. Lamb, Laser Physics ( Addison Wesley, Reading, MA, 1974 ).
M.O. Scully, M.S. Zubairy, Quantum Optics ( Cambridge University Press, Cambridge, 1997 )
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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
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