Elements exhibiting three stable current plateaus enable ternary logic, reducing interconnect load, and simplifying decision-making compared to binary logic. We show that a single off-resonant, linearly polarized optical drive can produce such plateaus in honeycomb monolayers, with the polarization angle $\alpha$ controlling the band gap and electronic transport. In the high-frequency regime, we derive an effective Floquet Hamiltonian in which the hopping amplitudes are renormalized by angle-dependent Bessel functions. The response is ${180}^{\circ }$-periodic: generic orientations reduce the point-group symmetry, whereas mirror-aligned angles restore $D_{2h}$ symmetry and pin the extrema of the band gap. Quantum transport calculations for a finite armchair-terminated silicene nanoribbon reveal a polarization-controlled crossover from evanescent to resonant transport. The drive amplitude $\mathrm{\Lambda }$ sets the overall gap scale, while $\alpha$ redistributes spectral weight and mode overlap. These effects together yield three robust current plateaus, each persisting over a wide range of $\mathrm{\Lambda }$ and tolerating $\approx {10}^{\circ }$ variations in $\alpha$. This mechanism applies across honeycomb monolayers, providing design rules for light-controlled multivalued electronics.

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• Photoinduced effect
• Quantum transport
• 2-dimensional systems
• Nanostructures
• Green's function methods
• Tight-binding model