Abstract
By suitably averaging over U(1)-group action on a two-mode nonlinear coherent state we derive the nonlinear conserved-charge coherent state. Based on it, a new nonlinear entangled state |ηf,g and its deductive state are introduced. Their completeness relation is proved. A new two-mode nonlinear squeezing operator in |ηf,g representation is obtained, which in turn leads to a nonlinear negative binomial state.
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