  We investigate the rotating quark matter in the three-flavor Nambu and
Jona-Lasinio (NJL) model. The chiral condensation, spin polarization and number
susceptibility of strange quark are carefully studied at finite temperature
without or with finite chemical potential in this model. We find that the
rotation suppresses the chiral condensation and enhances the first-order quark
spin polarization, however for the second-order quark spin polarization and
quark number susceptibility the effect is very interesting, in the case of zero
chemical potential which have a jump structure when the first-order phase
transitions take place. When extending to the situation with finite chemical
potential, we find the angular velocity also plays a crucial role, at small or
large enough angular velocity the chemical potential enhances the
susceptibility, however in the middle region of angular velocity the effect of
the chemical potential is suppressed by the angular velocity and susceptibility
can be changed considerably, which can be also observed that the quark number
susceptibility has two maximum value. Furthermore, it is found that at
sufficiently large angular velocity the contributions played by light quark and
strange quark to these phenomena are almost equal. We expect these studies to
be used to understand the chiral symmetry breaking and restoration as well as
probe the QCD phase transition.
