Geometric Phases And Quantum Correlations Of Superconducting Two-Qubit System With Dissipative Effect

We investigate the time-dependent Pancharatnam phases and the relations between the geometric phase and quantum correlations, i.e., quantum discord and concurrence,of superconducting two-qubit coupling system in dissipative environment by includeing the mixture effects of four different eigenstates of density matrix. We find that the time-dependent Pancharatnam phases not only keep the motion memory of such a two-qubit system, but also have the information of quantum correlations. We show that the sudden died and alive phenomena of quantum entanglement is original in the transition of Pancharatnam phase in the X-state and the complex oscillations of Pancharatnam phase in the Y-state. The faster the Pancharatnam phases change, the slower the quantum correlations decay.In particular, our findings are more observable in a subspace of quantum entanglement in the Y-state by choosing an adapt coupling parameters between two-qubit system and its environment, or initial conditions. Our results provide an approach experimentally to realize a time-dependent geometric quantum computation with quantum correlations.