Concurrence and Quantum Discord in the Eigenstates of Chaotic and Integrable Spin Chains,Annalen Der Physik

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Concurrence and Quantum Discord in the Eigenstates of Chaotic and Integrable Spin Chains
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-06-25 , DOI: 10.1002/andp.201900515
Atefeh Ashouri ₁ , Saeed Mahdavifar ₁ , Grégoire Misguich _{2,

3} , Javad Vahedi _{3,

4,

5}

Affiliation

There has been some substantial research about the connections between quantum chaos and quantum correlations in many‐body systems. This paper discusses a specific aspect of correlations in chaotic spin models, through concurrence (CC) and quantum discord (QD). Numerical results obtained in the quantum chaos regime and in the integrable regime of spin‐1/2 chains are compared. The CC and QD between nearest‐neighbor pairs of spins are calculated for all energy eigenstates. The results show that, depending on whether the system is in a chaotic or integrable regime, the distribution of CC and QD are markedly different. On the other hand, in the integrable regime, states with the largest CC and QD are found in the middle of the spectrum, in the chaotic regime, the states with the strongest correlations are found at low and high energies at the edges of spectrum. Finite‐size effects are analyzed, and some of the results are discussed in the light of the eigenstate thermalization hypothesis.

中文翻译：

混沌和可积自旋链本征态的并发与量子不和谐

关于多体系统中的量子混沌与量子相关性之间的联系，已有一些实质性研究。本文通过并发（CC）和量子失调（QD）讨论了混沌自旋模型中相关性的特定方面。比较了在自旋1/2链的量子混沌状态和可积状态下获得的数值结果。计算所有能量本征态之间最接近的自旋对之间的CC和QD。结果表明，取决于系统是处于混沌状态还是可积分状态，CC和QD的分布明显不同。另一方面，在可积分状态下，在混乱状态下，在频谱中间发现了CC和QD最大的状态，在光谱边缘的低能量和高能量中发现了具有最强相关性的状态。分析了有限尺寸的影响，并根据本征态热化假设讨论了一些结果。

更新日期：2020-06-25

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