Nonlinear conserved-charge coherent state and its relation to nonlinear entangled state
Hong-Yi Fan, Hailing Cheng · Journal of Physics A Mathematical and General · 2001
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.