Thermal entanglement in the XYZ model for a two-qutrit system

The negativity as a measure of thermal entanglement was studied for a two-qutrit spin-1 anisotropic Heisenberg XYZ chain with Dzyaloshinskii–Moriya (DM) interaction in a homogeneous magnetic field in detail. An analytical expression was found for the negativity and then the thermal variations of negativity were investigated in full detail for given values of the DM interaction parameter Dz, the external magnetic field B, the measure of the anisotropy on the xy-plane γ = (Jx − Jy)/(Jx + Jy), a parameter J = (Jx + Jy)/2 and the bilinear interaction parameter Jz along the z-axis.

Research Highlights
► Thermal entanglement in spin-1 XYZ chain with Dzyaloshinskii-Moriya interaction with B.
► An analytical expression was found for the negativity, the measure of entanglement.
► The higher values of the system parameters Jz, J, Dz and γ, the higher the negativity.
► Temperautre and magnetic field(B) try to disentangle the states to lower the negativity.
► The parameters Jz, J, Dz and γ try to resist to the temperature and magnetic field.