Decoherence-free subspaces and Markovian revival of genuine multipartite entanglement in a dissipative system

We analyze a system of three or more qubits collectively interacting with a zero-temperature bosonic bath characterized by a Lorentzian spectral density. Our study focuses on the emergence of decoherence-free subspaces and the genuine-entanglement dynamics. Specifically, we study the three qubit system in detail, where the genuine entanglement is quantified through the convex roof extension of negativity. By examining the transition between Markovian and non-Markovian regimes, we reveal how the entanglement in the system evolves under the influence of the environment. Notably, we observe transitions between genuinely multi-qubit entangled and bi-separable states, including a revival of entanglement even in the Markovian regime. These findings provide insights into the robustness of quantum correlations and the conditions under which decoherence-protected states can be sustained.