  The strong correlation between the non-trivial band topology and the magnetic
texture makes magnetic Weyl semimetals excellent candidates for the
manipulation and detection of magnetization dynamics. The parity violation
together with the Pauli blocking cause only one Weyl node to contribute to the
photocurrent response, which in turn affects the magnetic texture due to the
spin transfer torque. Utilizing the Landau-Lifshitz-Gilbert equation and the
spin-transfer torque in non-centrosymmetric Weyl magnets, we show that the
chiral photocurrent rotates the magnetization from the easy c axis to the a or
b axis, which leads to an exotic current next to the photocurrent response. The
chiral photocurrent is calculated in the context of quantum kinetic theory and
it has a strong resonance on the order of mA/W near the Weyl nodes, the
magnitude of which is controlled by the momentum relaxation time. Remarkably,
we study the influence of magnetic texture dynamics on the topological
nonlinear photocurrent response, including shift and injection currents along
with the new chiral photocurrent, and show that both the magnitude and the
in-plane orientation of the chiral photocurrent are strongly correlated with
the direction of the magnetic moments.
