Abstract
Two superconducting (SC) qubits interacting with a radiation field in the coherent state (CS) in the presence of Stark shift are investigated. The density matrix is expressed in terms of the wave function to describe the proposed system. Physical properties, such as the geometric phase, linear entropy, and negativity are used to describe the behavior of the system. The effects of the Stark shift and the initial state on the linear entropy, geometric phase, and nonclassical correlation are discussed. Thermal and magnetic field interactions are also examined during the time evolution of the two SC qubits. By raising the temperature and decreasing the qubit-qubit entanglement, the nonclassical connection between the CS field and the two SC qubits is strengthened. Moreover, the Stark shift considerably affects the dynamical and physical properties of both types of entanglement.