  By using the extrapolation method, a polarized Polykov-loop potential at
finite real angular velocity is constructed from the lattice results at finite
imaginary angular velocity. The chiral and deconfinement phase transitions
under rotation have been simultaneously investigated in the
Polarized-Polyakov-loop Nambu-Jona-Lasinio (PPNJL) model. It is observed that
both critical temperatures of deconfinement and chiral phase transition
increase with the angular velocity, which is in consistent with lattice
results. The spin alignment of vector meson has the negative deviation of
$\rho_{00} -1/3$ under rotation, and the deviation in the PPNJL model is much
more significant than that in the NJL model and the quark coalescence model,
which revealing the important role of rotating gluons on the quark
polarization.
