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Atoms in fock state fields

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  • Hassan, S.S.
  • Bullough, R.K.
  • Puri, R.R.

Abstract

A theoretical analysis of the fundamental problem of two-level atomic systems radiatively decaying and coupled to Fock state radiation fields is presented. First, for a broad-band Fock state field and for a single two-level atom the Einstein radiation rate equation is derived within a scheme of matter-field statistical decorrelation. This holds too for N > 1 “independent” two-level atoms. Second, for a single-mode Fock state field exact analytical solution for the atomic inversion, in the single-atom case, is derived within the rotating wave approximation. For N > 1 cooperative two-level atoms exact results are also derived in the steady state regime. In a thermodynamic limit where N→ ∞, the scaled atomic inversion is expressed as Poisson-Charlier polynomials. Connection with earlier results for coherent and incoherent (chaotic) state fields is made. Of mathematical interest: a formal expression for the cofactor elements in terms of the original elements of a triangular matrix is derived in appendix B.

Suggested Citation

  • Hassan, S.S. & Bullough, R.K. & Puri, R.R., 1990. "Atoms in fock state fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 163(2), pages 625-650.
    • Handle: RePEc:eee:phsmap:v:163:y:1990:i:2:p:625-650
    DOI: 10.1016/0378-4371(90)90149-M
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    1. Larry J. Johnson & James L. Kuhle & Carl H. Walther, 1987. "An Elasticity Approach to Equity Risk Evaluation," Journal of Real Estate Research, American Real Estate Society, vol. 2(1), pages 41-49.
    2. Agarwal, Jamuna-Prasad & Spinanger, Dean & Stecher, Bernd, 1978. "The future of the world economy: An appraisal of Leontief's study," Kiel Discussion Papers 54, Kiel Institute for the World Economy (IfW Kiel).
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