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We investigate the pseudospin-dependent density-energy relation (whosedifferential with respect to energy is density of states) of a monolayergraphene under intense terahertz laser field by exactly solving thetime-dependent Schr\"{o}dinger equation with help of Floquet's theorem. We findthat psedospin polarization can be induced by a circular polarized terahertzlaser field. The psedospin polarization in K and K$^{\prime}$ valleys can beexactly opposite sign when the electron densities in these two calleys areequivalent. Further more, we find that the psedospin polarization can bemanipulated by the strength, frequency, and especially the polarizationorientation of the field.

Intense Terahertz Laser Fields Induced and Manipulated Pseudospin Polarization in Graphene