Three-Level Atom in the Presence of a Stochastic Broad-Band Squeezed Vacuum

  • Phung Van Vinh
  • K. Wódkiewicz
Conference paper


We incorporate broad-band squeezed fluctuations in a three-level atom in Ξ, Λ and V configurations1,2 assuming that the squeezed vacuum is described by the following complex random Rabi amplitudes Ω tj and Ω vj , where j = 1,2. The thermal parts Ω tj of the squeezed light couples to the atomic degrees of freedom like the coherent fields Ω j . The thermal fluctuations are characterized by a Gaussian white-noise with the following diagonal diffusion matrix (for real and imaginary components of the noise): d(j) = A j N j I where A l and A 2 are the atomic decay rates and for spontaneous emission into the unsqueezed vacuum and the parameters N j characterize the “thermal” contribution of the squeezed vacuum. The quantum part Ω vj of the squeezed vacuum couples to the atomic components in such a way that spontaneous absorption is eliminated.3 The statistical properties of such c-number squeezed vacuum fluctuations are given by a Gaussian white-noise with the following non-diagonal diffusion matrix (for real and imaginary components of the noise):
where the complex parameters describe the phase-dependent vacuum contributions due to the squeezed noise.


Spontaneous Emission Thermal Fluctuation Imaginary Component Diffusion Matrix Atomic Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    S.Smart and S.Swain, J. Mod. Opt. 40, 1939 (1993); 41, 1055 (1994).Google Scholar
  2. 2.
    L.M.Narducci, et al., Phys. Rev A 42, 1630 (1990).CrossRefGoogle Scholar
  3. 3.
    E.Kahler and K.Wódkiewicz, J. Mod. Opt. 41, 491 (1994).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Phung Van Vinh
    • 1
  • K. Wódkiewicz
    • 1
    • 2
  1. 1.Institute of Theoretical PhysicsWarsaw UniversityWarsawPoland
  2. 2.Center for Advanced StudiesUniversity of New MexicoAlbuquerqueUSA

Personalised recommendations