Coherence and Quantum Optics VII pp 417-418 | Cite as

# Binomial States of Light Revisited

Conference paper

## Abstract

The single mode binomial states of the quantized electromagnetic field are defined, in terms of the number state basis In) as
where
The probability of ocurrence of

^{1}:(1)

*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 laser^{2}.## Keywords

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.

## References

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*J. Opt. Soc*. Ain.*13*2: 185 (1987).Google Scholar - 3.A. Vidiella-Barranco and J.A. Roversi, Statistical and phase properties of the binomial states of the electromagnetic field,
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## Copyright information

© Springer Science+Business Media New York 1996