Properties of the radiation fields in negative binomial states are investigated. The density matrix of the field is related to the density matrix ${\mathrm{\rho }}_{\mathit{c}}$ of the chaotic field via ${\mathit{a}}^{\mathit{s}}$${\mathrm{\rho }}_{\mathit{c}}$${\mathit{a}}^{\mathrm{°}\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.

• Received 9 July 1991

DOI:https://doi.org/10.1103/PhysRevA.45.1787