We study even- and odd-displaced squeezed states, which were proposed
by us as 1/N(e)[D(z) + D(-z)]S(r)\0] and 1/N(o)[D(z) - D(-z)]S(r)\0].
We find: (i) when z is real, the 2Nth moments in both states are large
r than in the ordinary squeezed state; (ii) for the same z = i\z\, the
two states can not exhibit stronger squeezing than the squeezed state
in the same order; (iii) under the condition \z\e-square-root2 much-g
reater-than 1, the even (odd)-displaced squeezed state can respectivel
y exhibit stronger (4k - 2) [4k]-order (k = 1,2,3,...) squeezing than
the squeezed state.