Dynamic dipole polarizabilities (in unit a.u.) of the Li⁺ ion for the photon energy 0.075 ≤ ω ≤ 0.225 a.u. The solid black line denotes the dynamic polarizabilities for the 2³S state, and the solid blue line represents the dynamic polarizabilities for the 3³S state. The crossing points denoted as solid magenta circles are the tune-out wavelengths, and the crossing points denoted as blank red circles are the magic wavelengths. The vertical dashed lines are the resonance transition positions, and the green line is a horizonal zero line.