  The quantum speed limit time for quantum system under squeezed environment is
studied. We consider two typical models, the damped Jaynes-Cummings model and
the dephasing model. For the damped Jaynes-Cummings model under squeezed
environment, we find that the quantum speed limit time becomes larger with the
squeezed parameter $r$ increasing and indicates symmetry about the phase
parameter value $\theta=\pi$. Meanwhile, the quantum speed limit time can also
be influenced by the coupling strength between the system and environment.
However, the quantum speed limit time for the dephasing model is determined by
the dephasing rate and the boundary of acceleration region that interacting
with vacuum reservoir can be broken when the squeezed environment parameters
are appropriately chosen.
