Entanglement Dynamics for Two Interacting Superconducting Qubits Coupled to Independent Reservoirs

We derive the master equation of a system of two coupled two state systems by taking into account their interaction with two independent bosonic baths [1]. Important features of the dynamics are brought to light, such as the stationary state at general temperatures and the behaviour of the entanglement at zero temperature, presenting the phenomena of sudden death and sudden birth as well as the presence of stationary entanglement for long times. The model presented is quite versatile and is exploited in the analysis of the dynamics of a Josephson junction based architecture [2].