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.
Bibliographical noteFunding Information:
This work was supported by the creative research initiative program of the Ministry of Science and Technology of Korea. Y. Kim thanks Prof. K. Kim for useful discussions.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Physical and Theoretical Chemistry
- Electrical and Electronic Engineering