Super operator Technique in Investigation of the Dynamics of a Two Non-Interacting Qubit System Coupled to a Thermal Reservoir

In this paper, we clarify the applicability of the super operator technique for describing the dissipative quantum dynamics of a system consists of two qubits coupled with a thermal bath at finite temperature. By using super operator technique, we solve the master equation and find the matrix elements of the density operator. Considering the qubits to be initially prepared in a general mixed state, we explore the influence of dissipation on dynamical behavior of system. As expected, we obtain analytical evidence that the thermal photons and spontaneous emission of atoms are responsible for dissipation of entanglement of system.