Negative binomial states of the field-operator representation and production by state reduction in optical processes
G. S. Agarwal · Physical Review A · 1992
Properties of the radiation fields in negative binomial states are investigated. The density matrix of the field is related to the density matrix ${\mathrm{\ensuremath{\rho}}}_{\mathit{c}}$ of the chaotic field via ${\mathit{a}}^{\mathit{s}}$${\mathrm{\ensuremath{\rho}}}_{\mathit{c}}$${\mathit{a}}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}\mathit{s}}$. Various quasiprobability distributions and the thermofield representation for negative binomial states of the field are derived. The production of negative binomial distribution in a number of nonlinear processes is demonstrated.