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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
56/2018

Quantum correlations in critical $XXZ$ system and LMG model

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

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 $\Delta=-1$. However, only information deficit and local quantum uncertainty can demonstrate quantum phase transitions at $\Delta=1$. 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.

Received:
Jul 17, 2018
Published:
Jul 18, 2018
PACS:
03.67.-a, 64.70.Tg, 75.10.Pq

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inJournal
2018 Repository Open Access
Biao-Liang Ye, Bo Li, Xianqing Li-Jost and Shao-Ming Fei

Quantum correlations in critical \(XXZ\) system and LMG model

In: International journal of quantum information, 16 (2018) 3, p. 1850029