Based on the single-mode binomial states and the negative binomial states, we construct two types of two-mode correlated states of the quantized radiation field. Their nonclassical properties are investigated. It is also shown that these states can be viewed as correlated su(2) and su(1,1) coherent states.
Polya states of single mode radiation field are proposed and their algebraic characterization and nonclassical properties are investigated. They degenerate to the binomial (atomic coherent) and negative binomial (Perelomov's su(1,1) coherent) states in two different limits and further to the number, the ordinary coherent and Susskind-Glogower phase states. The algebra involved turn out to be a two-parameter deformation of both su(2) and su(1,1). Nonclassical properties are investigated in detail.
Pólya states of a single-mode radiation field are proposed and their algebraic characterization and non-classical properties are investigated. They degenerate to the binomial (atomic coherent) and negative binomial (Perelomov's su(1,1) coherent) states in two different limits and further to the number, the ordinary coherent and Susskind - Glogower phase states. The algebra involved turns out to be a two-parameter deformation of both su(2) and su(1,1). Non-classical properties are investigated in detail.