Evolution of the entanglement, photon statistics and local quantum Fisher information of a single qubit parity deformed JC-Model

Abstract In this paper we use the atomic version of the quantum Fisher information to estimate the quantum state of the parity deformed JC-Model (PDJCM) that describing the interaction between a SQ (single qubit) and deformed field has a state like Wigner negative binomial distribution. The nonclassical properties of the field is identified by the evolution of the second-order correlation function. The von Neumann entropy is provided for the nonlocal correlation between the SQ and linear (parity deformed) field. Also, the SQQFI (single qubit quantum Fisher information) or the local QFI, within phase shift estimator is obtained and compared with the von Neumann entropy during the interaction time. We examine the effect of the -deformation parameter and time dependent coupling or qubit speed on the dynamical behavior of the proposed quantities. The results verified that the dynamical behavior of the proposed quantities can be controlled by the qubit speed and -deformation parameter and time dependent coupling or qubit speed parameters.