  Effects of tensor spin polarization (TSP) on the chiral restoration and
deconfinement phase transitions are studied in Polyakov loop extended
Nambu-Jona-Lasinio (PNJL) model. For chiral phase transition, the higher the
polarized degree of quark-antiquark pairs under the strong magnetic field, the
higher the phase transition temperature. The TSP corrects the position of the
critical end point. The small impact of TSP on the phase transition temperature
is found for the deconfinement phase transition. On the other hand, we divide
the phase space into three ranges based on the phase diagram obtained from the
PNJL model: the confinement phase with chiral symmetry broken, the
deconfinement phase with restored chiral symmetry, and the confinement phase
with restored chiral symmetry (quarkyonic phase). It is found that TSP has only
a very small effect on the anisotropic pressure in the deconfined phase with
chiral symmetry restored and the quarkyonic phase, but it has a very strong
effect on the anisotropic pressure in the confined phase with chiral symmetry
broken. This is because TSP is closely related to chiral symmetry. The
restoration of chiral symmetry means the dissociation of spin polarization
condensate.
