Squeezing for n-Mode Quadratures Studied by Integration Within an Ordered Product Technique

The squeezing operator S⁽ⁿ⁾ and the corresponding squeezed state |0>_s for n-mode quadrature operators are founded. The normally ordered form of S⁽ⁿ⁾ is derived by means of the technique of integration within an ordered product of operators. Moreover, the existence of higher-order squeezing for n-mode quadratures in the State |0>_s is demonstrated.