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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 10, Iss. 11 — Nov. 1, 1993
  • pp: 2100–2106

Analytical solution to the master equation for a quantized cavity mode

A. Mufti, H. A. Schmitt, A. B. Balantekin, and M. Sargent, III  »View Author Affiliations

JOSA B, Vol. 10, Issue 11, pp. 2100-2106 (1993)

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We solve analytically the master equation for a quantized cavity mode, finding the time-dependent reduced density operator. The formalism applies to both amplifiers and attenuator, permitting the results to be converted between them by introducing a temperature that can be negative. We obtain a quasi-probability distribution function similar to that obtained by Glauber [ GlauberR. J., ed., Quantum Optics ( Academic, New York, 1969)] from our reduced density matrix and equate his parameters with the coefficients appearing in the master equation. We illustrate the formalism by calculating variances, expectation values, and photon statistics for the damped simple harmonic oscillator and the linear amplifier.

© 1993 Optical Society of America

Original Manuscript: December 30, 1992
Revised Manuscript: May 28, 1993
Published: November 1, 1993

A. Mufti, H. A. Schmitt, A. B. Balantekin, and M. Sargent, "Analytical solution to the master equation for a quantized cavity mode," J. Opt. Soc. Am. B 10, 2100-2106 (1993)

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