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.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Physical and Theoretical Chemistry
- Electrical and Electronic Engineering