Entanglement and Fisher information for two superconducting qubits interacting with a deformed field

We investigate the dynamical behavior of local quantum Fisher information, linear entropy, fidelity, and entanglement of formation for a quantum scheme of two superconducting charge qubits in the presence of a L-deformed field. The effects of time-dependent (t-d) coupling and dipole-dipole (d-d) interaction on the temporal behavior of these four information quantifiers in the presence and absence of L-deformation effects are considered. We show that their dynamical behavior can be controlled by the d-d interactions and t-d coupling, for linear and L -deformed fields. Moreover, we clarify the link between the four quantifiers during the dynamics. The results obtained emphasize that in the presence and absence of t-d coupling, the proposed quantumness is very sensitive to the nonlinearity of the field but in the presence of t-d coupling it is only sensitive to the d-d interaction. We also identify new views to use and understand the nature of this nonlinearity through the behavior of the quantum quantifiers in systems of two superconducting qubits. Our observations have potential implications for the application of this phenomenon in quantum optics and information processing.