We apply the Wigner–Yanase skew information as a quantum information quantifier of atomic non-classicality for spin- \(\frac{1}{2}\) states, in the dynamics generated by the anti-Jaynes–Cummings (AJC) Hamiltonian when a two-level atom in an initial atomic ground state couples to a single mode of squeezed coherent light. We investigate how variations in a non-vanishing residual detuning parameter (measure of coupling strength), field intensity, and squeeze parameter affect the dynamics of the Wigner–Yanase skew information. We observed that reduction in the coupling strength yields non-maximally mixed state values and simultaneous longer quiescent phases in the time evolution of the Wigner–Yanase skew information. For the same initial atom, field states, the dynamics of the Wigner-Yanase skew information in the corresponding Jaynes-Cummings (JC) interaction mechanism presented periods of maximally mixed state values in weak and strong coupling strength parameter limits. In the respective AJC, JC interaction frameworks, the pure state limit was not attained and raising of the squeeze parameter resulted in improved mixedness, rapid oscillation of the skew information and small increase in revival time in relation to when an initial coherent field mode is applied. Upping the field intensity produced rapid oscillations and delay in revival time in the respective dynamical evolution of the skew information.
