Quantum correlation of the Heisenberg xxz Hamiltonian with nonuniform external magnetic field and Dzyaloshinskii–Moriya interaction

In this paper, we study the thermal entanglement and geometric quantum discord in Heisenberg XXZ Hamiltonian with nonuniform magnetic field and Dzyaloshinskii–Moriya (DM) interaction. Here, we consider primarily the effect of different factors such as nonuniform magnetic field, exchange interaction...

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Bibliographic Details
Published in:Indian journal of physics 2024, Vol.98 (10), p.3615-3622
Main Author: Ri, Su-Bok
Format: Article
Language:English
Subjects:
Antiferromagnetism
Astrophysics and Astroparticles
Correlation
Hamiltonian functions
Magnetic fields
Nonuniform magnetic fields
Original Scientific Research
Physics
Physics and Astronomy
Quantum entanglement
Qubits (quantum computing)
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Summary:In this paper, we study the thermal entanglement and geometric quantum discord in Heisenberg XXZ Hamiltonian with nonuniform magnetic field and Dzyaloshinskii–Moriya (DM) interaction. Here, we consider primarily the effect of different factors such as nonuniform magnetic field, exchange interaction J , Dzyaloshinskii–Moriya interaction D on the thermal entanglement and the geometric quantum discord for the antiferromagnetic in Heisenberg qubit system. The results indicate that strong DM interaction plays the essential role in the conservation of quantum correlation. For any J , D and T quantum correlation indicates the exact symmetry about the inversion of nonuniform part of magnetic field. Also, these results indicate robustness of the thermal entanglement and the geometric quantum discord against the increasing J and D . On the other hand, the geometric quantum discord is more robust for temperature than thermal entanglement. Thus, the results indicate that Quantum correlation can be appreciably manipulated according to the exchange interaction and DM interaction, uniform part and nonuniform part of magnetic field.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-024-03114-6