Binomial States of Light Revisited

  • Antonio Vidiella-Barranco
  • José Antonio Roversi
Conference paper


The single mode binomial states of the quantized electromagnetic field are defined, in terms of the number state basis In) as1:
where The probability of ocurrence of m photons, is a binomial distribution, Each photon has a probability p of being emitted, having M independent ways of doing it. It is interesting to note that if p → ∞ and M → such that pM = α constant, ∣p, M 〉 → ∣α〉 where ∣α〉 is a coherent state. If p → 1, then ∣p, M〉(number state having M photons). Therefore, the binomial states could allow a continuous interpolation betweeen fundamentally different quantum-mechanical states. Their generation could be in principle accomplished in a. system containing N 2 molecules mixed with CO 2 1 , as well as in a free electron laser2.


Number State Coherent State Free Electron Laser2 Cavity Decay Binomial State 
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.
    D. Stoler, B.E.A. Saleh, and M.C. Teich, Binomial states of the quantized radiation field, Opt. Acta 32: 345 (1985).MathSciNetCrossRefGoogle Scholar
  2. 2.
    C.T. Lee, Photon antibunching in a free-electron laser, Phys. Rev. A 31.1213 (1985);Google Scholar
  3. G. Dattoli, J. G.llardo and A. Torre, Binomial states of the quantized radiation held: cornaient, J. Opt. Soc. Ain. 13 2: 185 (1987).Google Scholar
  4. 3.
    A. Vidiella-Barranco and J.A. Roversi, Statistical and phase properties of the binomial states of the electromagnetic field, Puys. Rev.. 4 50: 5233 (1994).CrossRefGoogle Scholar
  5. 4.
    D.T. Pegg and S.M. Barnett, Phase properties of the quantized single-mode electromagnetic field, Phys. Rev. A 39: 1665 (1989).CrossRefGoogle Scholar
  6. 5.
    W.B. Louisell, “Quantum Statistical Properties of Radiation,” Wiley, New York (1973).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Antonio Vidiella-Barranco
    • 1
  • José Antonio Roversi
    • 1
  1. 1.Instituto de Física “Gleb Wataghin”Universidade Estadual de CampinasCampinasBrazil

Personalised recommendations