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Saturation law and the resonance fluorescence spectrum of a forced two-level atom described by modified optical Bloch equations

  • Gregory Surdutovich
  • Alexandre Ghiner
Conference paper

Abstract

An increasing interest to nonlinear modifications of optical Bloch equations(OBE) raises a problem about proper account of the spontaneous relaxation in these equations. Usually in order to calculate the influence of the nonlinear terms to the resonance fluorescence line shape function the relaxation terms were putting into the generalized Bloch equations ad hoc [1]. Making use of only energetic considerations we found earlier the relaxation mechanism in the form of additional terms in the OBE which, on one hand, guarantees the fulfillment of the balance of the fluxes of energy between atomic and field subsystems and, on the other hand, allows to include arbitrary collision-like relaxation mechanism without violation of this balance [2]. In a remarkable manner these additional terms exactly correspond to renormalization of the external field with allowance of the classical radiation damping(RD) effect
$$ {\vec{E}^{{(r)}}} \to {\vec{E}^{{(r)}}} + \frac{2}{{3{c^3}}}{\dddot{\vec{d}}^{{(r)}}} \equiv {\tilde{\vec{E}}^{{(r)}}} $$
(1)

Keywords

Proper Account Relaxation Term Nonlinear Modification Energetic Consideration Optical Bloch Equation 
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References

  1. 1.
    K. Wodkiewicz and M.O. Scully, Phys. Rev, A42(1990), 511.MathSciNetGoogle Scholar
  2. 2.
    G.I. Surdutovich and A.V. Ghiner, Physica A. 283 (2000), 212.ADSCrossRefGoogle Scholar
  3. 3.
    P. Meystre and M.O. Sargent III, Elements of Quantum Optics, Springer, Berlin, 1993.Google Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Gregory Surdutovich
    • 1
  • Alexandre Ghiner
    • 2
  1. 1.Departamento de Engenharia EletricaUFPRCuritibaBrazil
  2. 2.Departamento de FisicaUFMASao LuisBrazil

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