Quantum-limited linewidth of a good-cavity laser: An analytical theory from near to far above threshold

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 6, 2000, Pages 063814-063811

  Herzog, Ulrike ^a   Bergou, János A ^b,c  

^a HUMBOLDT UNIVERSITY   (Germany)

^b CITY UNIVERSITY OF NEW YORK   (United States)

^c UNIVERSITY OF PÉCS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; OPTICAL CORRELATION; PHOTONS; QUANTUM OPTICS; SPECTRUM ANALYSIS;

CAVITY LASERS; INTRINSIC LINEWIDTH; SCULLY-LAMB MASTER EQUATIONS;

LASER RESONATORS;

EID: 17744362267     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.62.063814     Document Type: Article

References (28)

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21. For recent reviews, see e.g., G. Raithel, Ch. Wagner, H. Walther, L. M. Narducci, and M. O. Scully, in Advances in Molecular and Optical Physics, edited by P. Berman (Academic, New York, 1994), Suppl. 2; B.-G. Englert, M. Löffler, O. Benson, B. Varcoe, M. Weidinger, and H. Walther, Fortschr. Phys. 46, 897 (1998).
22. For a review of the Jaynes-Cummings model, see B. W. Shore and P. L. Knight, J. Mod. Opt. 40, 1195 (1993).
23. b for the mean photon number of a laser above threshold is already implied in the second of the conditions (2.13) since the latter would not be fulfilled for thermal radiation.
24. 2. (See also the discussion in Sec. V.)
25. The standard linewidth formula (4.2) has been derived using different methods (see [3-5]). It has been stated in Refs. [3] and [5] that the result refers to the near-threshold region where α ≈ γ.
26. n,n-1. It is applied to a so-called ideal standard laser master equation that is equivalent to the master equation used in our model provided that in the coefficients (3.1) and (3.2) the limit Xn≫ 1 is performed. This idealized formal equation guarantees that the photon-number distribution is strictly Poissonian.
27. In the quantum case the fluctuation-regression theorem does not hold for an arbitrary Markovian quantum system but can be only applied when the equations of motion for the mean values are linear [see, e.g., C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991) and D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994)]. Instead of studying the decay of the electric field, one therefore has to investigate the decay of its correlation function itself as soon as a nonlinearity is involved.
28. In the quantum case the fluctuation-regression theorem does not hold for an arbitrary Markovian quantum system but can be only applied when the equations of motion for the mean values are linear [see, e.g., C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991) and D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994)]. Instead of studying the decay of the electric field, one therefore has to investigate the decay of its correlation function itself as soon as a nonlinearity is involved.