Kinetics of photon correlation functions under the time-dependent quadratic Hamiltonian
Shan-Wen Tsai, A. F. R. de Toledo Piza · Physical Review A · 1996
The dynamic decoupling of the correlation function hierarchy under the general quadratic Hamiltonian is exploited to extend the results obtained for coherent pumping and squeezing in Ref. . Closed c-number dynamic equations are given explicitly for three- and four-operator averages, for an arbitrary (pure or mixed) initial state of the field. At this level an independent c-number constant of motion appears, related to two-photon correlation properties of the initial state. Extension to higher correlation functions is straightforward. \textcopyright{} 1996 The American Physical Society.