Entanglement dynamics in two-parameter qubitqutrit states under DzyaloshinskiiMoriya interaction
We study entanglement dynamics in two-parameter qubitqutrit states under the influence of DzyaloshisnhkiiMoriya (DM) interaction. Our system consists of a qubitqutrit pair as a closed system initially in two-parameter class of states, and one environmental qubit interacts with the qutrit of the closed system via DM interaction. We divide our analysis into two cases. In the first case, we study the entanglement dynamics in separable region, and in the second case we study the same in non-separable region. The DM interaction produces the entanglement in separable region with entanglement sudden death (ESD) and some states in this region remain unaffected by the same. In non-separable region, all the states are affected by DM interaction. The DM interaction excites the entanglement but does not produce ESD in this region. We observed that probability amplitude of environmental qubit does not affect the entanglement in two-parameter qubitqutrit states in both the regions.
two-parameter qubitqutrit states separable region non-separable region entanglement sudden death probability amplitude dzyaloshinskii-moriya interaction