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26 April 2024
 
  » arxiv » quant-ph/0307131

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Entanglement, quantum phase transition and scaling in XXZ chain
Shi-Jian Gu ; Hai-Qing Lin ; You-Quan Li ;
Date 18 Jul 2003
Journal Phys. Rev. A 68, 042330(2003)
Subject Quantum Physics; Strongly Correlated Electrons | quant-ph cond-mat.str-el
AbstractMotivated 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 $Delta$ is deformed, however, its value decreases. Its dependence on $Delta$ scales as $C=C_0-C_1(Delta-1)^2$ in the XY metallic phase and near the critical point (i.e. $1
Source arXiv, quant-ph/0307131
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