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Entanglement, quantum phase transition, and scaling in theXXZchain
Physical Review A. Atomic, Molecular, and Optical Physics
Motivated by recent development in quantum entanglement, we study relations among concurrence C, SU_q(2) algebra, quantum phase transition and correlation length at the zero temperature for the XXZ chain. We find that at the SU(2) point, the ground state possess the maximum concurrence. When the anisotropic parameter Δ is deformed, however, its value decreases. Its dependence on Δ scales as C=C_0-C_1(Δ-1)^2 in the XY metallic phase and near the critical point (i.e. 1<Δ<1.3) of the Ising-likedoi:10.1103/physreva.68.042330 fatcat:yjaycpfyyvfbrm3c3z4wuiucle