Study on the Properties of Higher-power Y-squeezing in the SecondKind of Multimode Superposition State Light Field with theSuperposition of Two Quantum State

Abstract

On the basis of reference 2, the paper probes the squeezing effects of unequal-order higher-power Y-squeezing in the second kind of multimode superposition state light field with the superposition of two quantum state by using the definition of multimode squeezing. It is found that when the the squeezing orders of each mode is even number, the state |Ψ (2) 2 q is always in N j-Y minimum uncertainty state; when the squeezing orders of each mode is odd number, under some conditions the state |Ψ (2) 2 q can also present N j-th power Y-squeezing that changes periodically; the result of reference 2 is only a particular example under the certain condition N j=N of this paper's universal results.