Two-qubit entanglement dynamics under strong light-matter coupling near a graphene nanodisk

In this work, we theoretically analyze the population and entanglement dynamics for two identical qubits interacting with a graphene nanodisk. We consider qubits with various free-space decay rates in order to study how the coupling strength influences the dynamics of our composite system, as well as their entanglement evolution as quantified by concurrence. We find that for relatively large free-space decay rates, the population dynamics of each qubit features Rabi oscillations, while for smaller decay rates it exhibits a complex behavior, which nevertheless can be understood by semianalytical expressions using the sub- and superradiant states of the system. Additionally, we observe phenomena, such as population and entanglement trapping, induced by the strong interaction of the qubits with the graphene nanodisk, with trapping values depending solely on the initial conditions of the two qubits. Lastly, we compare our results with those obtained in the case of the two qubits interacting independently with a graphene nanodisk.