  In this work, we mainly explore the possibility of charged rho superconductor
(CRS) in the presence of parallel magnetic field and rotation within
three-flavor Nambu--Jona-Lasino model. By following similar schemes as in the
previous studies of charged pion superfluid (CPS), the CRS is found to be
favored for both choices of Schwinger phase in Minkovski and curved spaces. Due
to the stability of the internal spin structure, charged rho begins to
condensate at a smaller threshold of angular velocity than charged pion for the
given large magnetic fields. Even the axial vector meson condensation is
checked -- the conclusion is that CRS is the robust ground state at strong
magnetic field and fast rotation, which actually sustains to very large angular
velocity.
