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The origin of disentanglement for two specific sub-classes of $X$-statesnamely maximally nonlocal mixed states (MNMSs) and maximally entangled mixedstates (MEMSs) is investigated analytically for a physical system consisting oftwo spatially separated qubits interacting with a common vacuum bath. Thephenomena of entanglement sudden death (ESD) and the entanglement sudden birth(ESB) are observed, but the characteristics of ESD and ESB are found to bedifferent for the case of two photon coherence and single photon coherencestates. The role played by initial coherence for the underlying entanglementdynamics is investigated. Further, the entanglement dynamics of MNMSs and MEMSsunder different environmental noises namely phase damping, amplitude dampingand RTN noise with respect to the decay and revival of entanglement isanalyzed. It's observed that the single photon coherence states are more robustagainst the sudden death of entanglement indicating the usability of suchstates in the development of technologies for the practical implementation ofquantum information processing tasks.

Open quantum system dynamics of $X$-states: Entanglement sudden death and sudden birth