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Differential equations of spin dynamics and asymptotic expansion of quantum expectation values near the classical limit. II

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Abstract

The method developed in Part I is used to obtain asymptotic expansions of the functions that represent spin operators and of the quantum expectation values near the classical limit J→∞. We calculate with accuracy to the first quantum correction the correlation functions responsible for the statistical properties of cooperative spontaneous emission (super-radiance) of a gas of twolevel molecules. It is shown that the light emitted by a finite number of molecules does not have coherence of higher orders. The statistics of the field of quantum fluctuations is discussed.

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Literature cited

  1. 1.

    R. H. Dicke, Phys. Rev.,93, 99 (1954).

  2. 2.

    N. Skribanowitz and M. S. Field, Phys. Rev. Lett.,30, 309 (1973).

  3. 3.

    R. Glauber, in: Quantum Optics, Academic Press (1969).

  4. 4.

    R. Bonifacio, P. Schwendimann, and F. Haake, Phys. Rev.,A4, 302 (1971).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 79–82, December, 1975.

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Zverev, V.V. Differential equations of spin dynamics and asymptotic expansion of quantum expectation values near the classical limit. II. Soviet Physics Journal 18, 1706–1708 (1975). https://doi.org/10.1007/BF00892792

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Keywords

  • Differential Equation
  • Coherence
  • Correlation Function
  • Asymptotic Expansion
  • Finite Number