2006/04/08 by M. Asoudeh, Vahid Karimipour, V. Karimipour · 13 citations
Computer Science · Physics and Astronomy · #Anisotropy #Antiferromagnetism #Cluster (spacecraft) #Condensed matter physics #Ferromagnetism #Field (mathematics) #Magnetic field #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spins #Thermal #quant-ph
paper · pdf · doi:10.1103/physreva.73.062109
published in Physical Review A 73(6) (American Physical Society) · 16 pages, 11 figures
arxiv created 2006/04/08 · openalex publication_date 2006/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We determine thermal entanglement in mean-field clusters of N spin one-half particles interacting via the anisotropic Heisenberg interaction, with and without external magnetic field. For the xxx cluster in the absence of magnetic field we prove that only the N=2 ferromagnetic cluster shows entanglement. An external magnetic field B can only entangle xxx antiferromagnetic clusters in certain regions of the B\text\ensuremath-T plane. On the other hand, the xxz clusters of size N>2 are entangled only when the interaction is ferromagnetic. Detailed dependence of the entanglement on various parameters is investigated in each case.