Dynamics of Einstein-Podolski-Rosen steering for two-spin Heisenberg XYZ states: Dzyaloshinskii-Moriya and the intrinsic decoherence effects

The generation of two-qubit spins XYZ-Heisenberg steerability and entanglement, in the presence of the y-component interaction’s Dzyaloshinskii-Moriya and the intrinsic decoherence, will be investigated using Einstein-Podolski-Rosen steering and negativity. We examine the effects of the spin-spin XYZ-Heisenberg, DM y-component-interaction, and on intrinsic decoherence couplings on the two-qubit spins XYZ-Heisenberg steerability and entanglement dynamics. Our observations of the dynamical proprieties of the steerability and entanglement can be enhanced and regulated by combining the spin-spin Heisenberg and Dzyaloshinskii-Moriya interaction effects. The increase of the spin-spin XYZ-Heisenberg, DM y-component-interaction, and the intrinsic decoherence couplings has a high ability to generate the two-qubit spins XYZ-Heisenberg steerability and the entanglement. The generation of the entanglement’s spin-spin Heisenberg states is quicker than the generation of the steerability. The steerability exhibits sudden disappearance and sudden reappearance phenomena. The quantum steering and entanglement dynamics conforms with the hierarchy principle of nonlocality information resources. The unequal spin-spin antiferromagnetic interactions enhance the generated spin-spin steerability and entanglement dynamics. The robustness of the degradation of the spin-spin steerability and entanglement, due to the decoherence effect, depends on the antiferromagnetic Heisenberg and Dzyaloshinskii-Moriya interactions