Sub-Poissonian statistics of quantum jumps in single molecule or atomic ion

A theory for statistics of quantum jumps in single molecule or ion driven by continues wave laser field is developed. These quantum jumps can relate to nonradiative singlet-triplet transitions in a molecule or to on→off jumps in a single ion with shelving processes. Distribution function wN(T) of quantum jumps in time interval T is found. Computer simulation of quantum jumps is realized. Statistical treatment of simulated jumps reveals sub-Poissonian statistics of quantum jumps. The theoretical distribution function wN(T) fits well the distribution of jumps found from simulated data. Experimental data on quantum jumps found in experiments with single Hg+ ion are described by the function wN(T) well.