  Environment effects on a $n$-dimensional mirror from the strongly coupled
d-dimensional quantum critical fields with a dynamic exponent $z$ in weakly
squeezed states are studied by the holographic approach. The dual description
is a $n+1$-dimensional probe brane moving in the $d+1$-dimensional asymptotic
Lifshitz geometry with gravitational wave perturbations. Using the holographic
influence functional method, we find that the large coupling constant of the
fields reduces the position uncertainty of the mirror, but enhances the
momentum uncertainty. As such, the product of the position and momentum
uncertainties is independent of the coupling constant. The proper choices of
the phase of the squeezing parameter might reduce the uncertainties,
nevertheless large values of its amplitude always lead to the larger
uncertainties due to the fact that more quanta are excited as compared with the
corresponding normal vacuum and thermal states. In the squeezed vacuum state,
the position and momentum of the mirror gain maximum uncertainties from the
field at the dynamic exponent $z=n+2$ when the same squeezed mode is
considered. As for the squeezed thermal state, the contributions of thermal
fluctuations to the uncertainties decrease as the temperature increases in the
case $1<z<n+2$, whereas for $z>n+2$ the contributions increase as the
temperature increases. These results are in sharp contrast with those in the
environments of the relativistic free field. Some possible observable effects
are discussed.
