Antibunching and sub-poissonian photon statistics in the Jaynes-Cummings model

Sub-poissonian photon statistics and antibunching by the definition based on the positive derivative of g⁽²⁾ (t, t+τ) as a function of the delay time τ at τ=0 are treated in a single-mode single-two-level-atom model. It is shown, in particular, that sub-poissonian behaviour may be accompanied by bunching or antibunching and photon-antibunching may be accompanied by sub-poissonian or super-poissonian field statistics. It is also shown that the photon-antibunching persists with increasing mean photon number of an initial chaotic state while the sub-Poisson behaviour disappears.