Nonperturbative analysis of entanglement dynamics and control for three qubits in a common lossy cavity

We study exact entanglement dynamics of three-qubit W-class states in a common structured cavity at zero temperature in both Markovian and non-Markovian regimes using the concept of lower bound of concurrence. We also propose three methods to control the qubits' entanglement evolution and establish monogamy equalities relevant to the class of states under consideration.