Damping of vacuum Rabi oscillations in a two-qubit structure in a high-Q cavity

In this work, we study the damping of vacuum Rabi oscillations for a system of two superconducting solid-state qubits placed in a high-quality microwave resonator. Two different cases are considered: the first qubit is excited at the initial moment, and the initial state is an entangled symmetric and antisymmetric pair. The dependence of the damping on various parameters, primarily on the photon-qubit coupling and on the distance between qubits, is studied in detail. It is shown that for some parameters, the relaxation time of the excited qubit is significantly longer than that for a single qubit in the cavity.