  Vorticities in heavy-ion collisions (HICs) are supposed to induce spin
alignment and polarization phenomena of quarks and mesons. In this work, we
analyze the spin alignment of vector mesons $\phi$ and $\rho$ induced by
rotation from quark dynamics in the framework of the Nambu-Jona-Lasinio (NJL)
model. The rotating angular velocity induces mass splitting of spin components
for vector $\phi,\rho$ mesons $M_{\phi,\rho}(\Omega)\simeq
M_{\phi,\rho}(\Omega=0)-s_{z}\Omega$. This behavior contributes to the spin
alignment of vector mesons $\phi,\rho$ in an equilibrium medium and naturally
explains the negative deviation of $\rho_{00}-1/3$ for vector mesons.
Incidentally, the positive deviation of $\rho_{00}-1/3$ under the magnetic
field can also be easily understood from quark dynamics.
