New n-mode squeezing operator and squeezed states with standard squeezing

摘要

We find that the exponential operator V = exp[i.lambda(Q(1)P(2) + Q(2)P(3) + ... + Q(n-1)P(n) + Q(n)P(1))], Q(i), P-i are, respectively, the coordinate and momentum operators, is an n-mode squeezing operator which engenders standard squeezing. By virtue of the technique of integration within an ordered product of operators we derive V's normally ordered expansion and obtain the n-mode squeezed vacuum states, its Wigner function is calculated by using the Weyl ordering invariance under similar transformations.