Modeling of entanglement behavior of two dipole-coupled superconducting qubits interacting with quantum fields in lossless cavities

Abstract

We have investigated the entanglement dynamics between two initially entangled superconducting qubits interacting with vacuum fields of one or two independent coplanar 1D resonators. Three types of two-qubits generalized Jaynes-Cummings models with different atom-field coupling constants and detunings and direct dipole-dipole interaction has been considered. Using the dressed-states technique we have derived the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit entanglement (negativity) has been carried out for different strength of the dipole-dipole interaction. Results show that dipole-dipole interaction may be used for entanglement control.