It is well-known that sub-Poissonian photon statistics and light anti-bunching normally occur together, since both effects may be considered as a manifestation of photon streams being 'regular enough'.
Zou & Mandel (PRA 1990) provided an example of a sub-Poissonian light which is bunched.
That is, the statement "sub-Poissonian implies anti-bunched" is false.
Does any counterexample exist for the statement "anti-bunched implies sub-Poissonian statistics?"
Thank you!
