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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 10, Iss. 3 — Mar. 1, 1993
  • pp: 524–538

Monte Carlo wave-function method in quantum optics

Klaus Mølmer, Yvan Castin, and Jean Dalibard  »View Author Affiliations


JOSA B, Vol. 10, Issue 3, pp. 524-538 (1993)
http://dx.doi.org/10.1364/JOSAB.10.000524


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Abstract

We present a wave-function approach to the study of the evolution of a small system when it is coupled to a large reservoir. Fluctuations and dissipation originate in this approach from quantum jumps that occur randomly during the time evolution of the system. This approach can be applied to a wide class of relaxation operators in the Markovian regime, and it is equivalent to the standard master-equation approach. For systems with a number of states N much larger than unity this Monte Carlo wave-function approach can be less expensive in terms of calculation time than the master-equation treatment. Indeed, a wave function involves only N components, whereas a density matrix is described by N2 terms. We evaluate the gain in computing time that may be expected from such a formalism, and we discuss its applicability to several examples, with particular emphasis on a quantum description of laser cooling.

© 1993 Optical Society of America

History
Original Manuscript: April 7, 1992
Revised Manuscript: July 8, 1992
Published: March 1, 1993

Citation
Klaus Mølmer, Yvan Castin, and Jean Dalibard, "Monte Carlo wave-function method in quantum optics," J. Opt. Soc. Am. B 10, 524-538 (1993)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-10-3-524

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