Two-Parameter Correlated Negative Binomial State in Two-Mode Fock Space

A kind of two-parameter correlated negative binomial state is constructed and analysed from the point of view of quantum optics theory in two-mode Fock space. By choosing a suitable two-mode correlated Holstein-Primakoff-analogue transformation, the state can be identified as a type of correlated SU (1,1) coherent state. The possible-physical uses of the state are also pointed out.