Superpositions of Binomial States and Schrödinger Cats

  • Antonio Vidiella-Barranco
  • José Antonio Roversi
Conference paper


We introduce quantum superpositions of binomial states ∣Ψ〉s), such that1
$$ \left| {{\Psi _s}} \right\rangle = N\sum\limits_{n = 0}^M {[1 + ( - {1^n}{e^{i\phi }}]} B_n^M\left| n \right\rangle , $$
where \( N = {\left[ {2\left( {1 + \cos \phi \Sigma _{n = 0}^m{{\left( { - 1} \right)}^n}{{\left| {B_n^M} \right|}^2}} \right)} \right]^{ - 1/2}} \) is the normalization factor, and ∅ a relative phase connected to the generation process.


Relative Phase Coherent State Normalization Factor Photon Number Nonlinear Medium 
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  1. 1.
    A. Vidiella-Barranco and J.A. R.oversi, Quantum superpositions of binomial states of light, accepted for publication in J. Mod. Opt.Google Scholar
  2. 2.
    V. Buzeh, A. Vidiella-Barranco and P.L. Knight, Superpositions of coherent states: squeezing and dissipation, Phys. Rev. A 45: 6570 (1992).CrossRefGoogle Scholar
  3. 3.
    A.. Vidiella-Barranco and J.A. R.oversi, Statistical and phase properties of the binomial states of the electromagnetic field, Phys. WI). A 50: 5233 (1994).Google Scholar
  4. 3.
    B.Yurke and D.Stoler, Generating quantum superpositions of macroscopically distinguishable states via amplitude dispersion, Phys. Reza. Lett. 57: 13 (1986).CrossRefGoogle 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

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