This study examines a time-dependent surface Hamiltonian for the 3D compound samarium hexaboride utilizing the slave boson (SB) protocol within the periodic Anderson model framework. The issue of significant on-site electron–electron repulsion is reframed as a holonomic constraint involving a term ‘ \({\left|b\right|}^{2}\) ’ representing the spatially-independent SB-condensate. Our investigation demonstrates the potential for achieving the quantum anomalous Hall state via normal incidence of circularly polarized light (CPL) on the compound’s surface, leveraging Floquet theory in the high-frequency limit. The incidence of CPL disrupts time reversal symmetry due to the emergence of a pseudo-magnetic field. Our findings also indicate that CPL intensity modulation facilitates state transitions. For dimensionless intensities at or below unity, the formation of a conducting surface state is facilitated by gap closure and the partial filling of the conduction band. On the other hand, intensities above unity lead to the creation of a band gap and an integer Chern number, thereby meeting the necessary conditions for quantum anomalous Hall states and showcasing the ability to regulate topological states through intensity control. Both right-handed and left-handed CPL exhibit a Chern number of unity, with the value of ‘ \({\left|b\right|}^{2}\) ’ ( \(\sim 0.71)\) being moderately affected by incident radiation intensity.
