Population inversion and entanglement dynamics of two coupled qubits in cavity QED

The great interest in realizing quantum information processing systems in the last few decades sparked intense efforts and led to a significant progress in engineering new quantum systems that are considered as very promising candidates for the task. These developed systems (such as semiconducting quantum dots and superconducting circuits) in addition to natural atomic systems (such as Rydberg atoms and trapped atoms, ions and molecules) enjoy a strong coupling with a similar type of system or even with a different type (when implemented in a hybrid system). Their dynamics and mutual interaction can be controlled when exposed to quantized radiation fileds in cavity (circuit) QED. We study the dynamics of a pair of such coupled quantum systems interacting with a radiation field at resonance (zero detuning) and out of reasonance with a focus on their population inversion and entanglement dynamics.