Exploring quantum correlations of two-qubit Heisenberg chain model influenced by magnetic dipole–dipole, magnetic field, and a symmetric cross interaction

Abstract

The concepts of concurrence, 3-steerability, and Clauser–Horne–Shimony–Holt (CHSH) inequality are employed to investigate the environmental impacts on the quantum correlations of the two-spin-1/2 Heisenberg XYZ chain model. In particular, the effects of a homogeneous magnetic field, symmetric cross interaction, and dipole–dipole interaction on the entanglement, degree of steerability, and non-locality are discussed. Results show that the entanglement and steering phenomena are bounded by the non-locality for both positive and negative values of dipole–dipole coupling. It has also been observed that higher symmetric cross-interaction strengthens the quantum correlations, whereas the homogeneous magnetic field weakens the quantumness of the system. The findings indicate that a magnetic field normal to the magnetic dipole yields better quantum correlations than when they are parallel.

Probing a Hybrid Channel for the Dynamics of Non-Local Features

“…Moreover, the cases of the implementation of individual classical channels have been found to be damaging to the quantum correlation preservation compared to when the classical channel is employed jointly with an external magnetic field [8,45]. In addition, the current results also show that the same configuration with individual external magnetic fields and thermal fields exhibits lesser and shorter preserved quantum correlations compared to when it is jointly employed with the classical field [32,56,57].…”

“…This contradicts most of the previous findings obtained in Refs. [32,56,57], where, for the increasing strength of K z , quantum correlations in the state became more preserved. One of the reasons behind this can be the changes brought up by the KSEA interaction in the spin structures, as evidenced in Ref.…”

Trade-off relations of quantum resource theory in Heisenberg models

“…Spin chains have gained increasing attention within various theoretical and experimental quantum computing platforms, mainly due to their integrability and scalability [10][11][12][13][14][15]. In fact, spin chains have become valuable tools for realizing quantum coherence and correlations, particularly in the context of Heisenberg models [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Owing to the various configurations of spin correlation, spin chain models have significant amounts of quantum resources in entanglement and coherence.…”