Quantum correlations in critical XXZ system and LMG model

Biao-Liang Ye, Bo Li, Xianqing Li-Jost, and Shao-Ming Fei

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Submission date: 17. Jul. 2018
Pages: 10
published in: International journal of quantum information, 16 (2018) 3, art-no. 1850029 
DOI number (of the published article): 10.1142/S0219749918500296
Bibtex
PACS-Numbers: 03.67.-a, 64.70.Tg, 75.10.Pq
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Abstract:
We investigate the quantum phase transitions for the XXZ spin-1/2 chains via the quantum correlations between the nearest and next to nearest neighbor spins characterized by negativity, information deficit, trace distance discord and local quantum uncertainty. It is shown that all these correlations exhibit the quantum phase transitions at Δ = −1. However, only information deficit and local quantum uncertainty can demonstrate quantum phase transitions at Δ = 1. The analytical and numerical behaviors of the quantum correlations for the XXZ system are presented. We also consider quantum correlations in the Hartree-Fock ground state of the Lipkin-Meshkov-Glick (LMG) model.