Entanglement sudden death and birth in qubit-qutrit systems under Dzyaloshinskii-Moriya interaction

We study entanglement dynamics of qubit-qutrit pair under Dzyaloshinskii-Moriya (DM) interaction. The qubit-qutrit pair acts as a closed system and one external qubit serve as the environment for the pair. The external qubit interact with qubit of closed system via DM interaction. This interaction frequently kills the entanglement between qubit-qutrit pair, which is also periodically recovered. On the other hand two parameter class of state of qubit-qutrit pair also affected by DM interaction and one parameter class of state remains unaffected. The frequency of occurrence of entanglement sudden death and entanglement sudden birth in two parameter class of state is half than qubit-qutrit pure state. We used our quantification of entanglement as negativity measure.