### Abstract

The higher order Q-parameter, Q^{(N)}, N = 1,2,3, ..., is introduced to generalize the sub-Poissonian photon statistics of light into higher order. By the definition, Q^{(1)} is identical to the well-known Mandel's Q-parameter. We show that Q^{(N)}s are -1 for the number state and 0 for the coherent state for all N. For the thermal light, however, Q^{(N)} s depend upon the average photon number. We discussed the characteristics of the higher order Q-parameter in particular examples where the light fields have higher order (N ≥ 2) sub-Poissonian photon statistics but not the ordinary (N = 1) sub-Poissonian photon statistics. It is also shown that the nonclassical measure of the higher order sub-Poissonian photon statistics of the number state are 1/2 as same as that of the known lowest order. It means that a superposition with thermal noise with the average photon number 1/2 remove the higher order sub-Poissonian photon statistics from the number state.

Original language | English |
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Pages (from-to) | 107-114 |

Number of pages | 8 |

Journal | Optics Communications |

Volume | 212 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - 2002 Oct 15 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Physical and Theoretical Chemistry
- Electrical and Electronic Engineering

### Cite this

*Optics Communications*,

*212*(1-3), 107-114. https://doi.org/10.1016/S0030-4018(02)01981-8