Entanglement in Two Qubit Magnetic Models With Dm Antisymmetric Anisotropic Exchange Interaction

Abstract

In the present paper, an influence of the anisotropic antisymmetric exchange interaction, the Dzialoshinskii-Moriya (DM) interaction, on entanglement of two qubits in various magnetic spin models, including the pure DM model and the most general XY Z model, are studied. We find that the time evolution generated by DM interaction can implement the SWAP gate and discuss realistic quasi-one-dimensional magnets where it can be realized. It is shown that inclusion of the DM interaction to any Heisenberg model creates, when it does not exist, or strengthens, when it exists, the entanglement. We give physical explanation of these results by studying the ground state of the systems at T = 0. Nonanalytic dependence of the concurrence on the DM interaction and its relation with quantum phase transition is indicated. Our results show that spin models with the DM coupling have some potential applications in quantum computations and the DM interaction could be an efficient control parameter of entanglement.

Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field

“…A minimal example of the DM model is the two-site model which has been studied to understand the overall dependence of quantities such as entanglement [45][46][47][48][49][50], quantum discord [51][52][53], and coherence [54] as a function of the various parameters of the system. In Ref.…”

Dynamics of Entanglement in Qubit-Qutrit with x -Component of DM Interaction

“…Many spin chains with external magnetic filed and DM interaction have been investigated in varieties of configurations even at thermal conditions [22,23]. Spin chains have also been studied by taking as a bath in the form of spin chains with DM interaction [24][25][26][27][28][29][30]. It has been observed that in some cases the DM interaction enhance the entanglement present in quantum spin chains.…”

Entanglement in a four qubit J1–J2 Heisenberg XXZ system with Dzialoshinskii–Moriya interaction

“…Contrary to Heisenberg interaction which would align the neighboring spins parallel or antiparallel according to the system is ferromagnetic or antiferromangetic, respectively, DM interaction would align them perpendicular to one another. Since such spin alignments are possible to increase entanglement, it turns out that DM interaction has a significant effect on entanglement properties [46][47][48][49][50][51][52].…”