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Higher-order squeezing conditions for squeezed number states are derived using a normal-ordering technique for calculating the moments of the field. Intrinsic higher-order squeezing is also investigated. It is found that the normally ordered moments of the quadrature operators are oscillating functions of the squeeze parameter. Also calculated is the exact nth-order correlation function for an arbitrary squeezed number state. Finally, its behavior for large and weak squeezing is analyzed.
Paulina Marian (Sun,) studied this question.