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- Title
Entanglement and quantum correlations in the honeycomb graphene lattice within the Hubbard model.
- Authors
Mhamdi, H.; Jebli, L.; Habiballah, N.; Nassik, M.
- Abstract
In this paper, we study the quantum correlations, particularly entanglement, between two qubits in graphene lattices. This study considers the short-range electron–electron Coulomb interactions as introduced by the Hubbard model and examines entanglement and other quantum correlations using the logarithmic negativity E N and the measurement-induced disturbance (MID) quantifiers, respectively. The results show that the on-site repulsion U, the nearest-neighbor interaction V between two qubits can promote entanglement up to a certain limit of U and V, but beyond entanglement, they can destroy other quantum correlations. These parameters can be seen as potentials generated near the two qubits, and they have a significant impact role in determining the amount and nature of quantum correlations in the system. Additionally, we have noted that the temperature T and the hopping parameter t also affect the quantum correlations in the system. Moreover, we found that MID is more robust than E N . That is means that even when there is no entanglement present, quantum correlations are still present in the interacting two-qubit states, which can be detected by MID quantifier.
- Subjects
QUANTUM correlations; HUBBARD model; QUANTUM entanglement; ELECTRON-electron interactions; HONEYCOMB structures; METAL-insulator transitions
- Publication
European Physical Journal D (EPJ D), 2024, Vol 78, Issue 1, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/s10053-023-00782-7