Entanglement entropy in critical quantum spin chains with boundaries and defects

Entanglement entropy in critical quantum spin chains with boundaries and defects
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具有边界和缺陷的临界量子自旋链中的纠缠熵

DOI:
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发表时间:
2021
期刊:
影响因子:
--
通讯作者:
H. Saleur
H. Saleur
中科院分区:
--
文献类型:
--
作者:
A. Roy;H. Saleur

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1+1D共形场论描述的临界量子自旋链的纠缠熵包含了该场论的普遍特征。自旋链上的边界和缺陷导致了EE的普遍贡献。在这项工作中,我们分析了临界Ising和XXZ自旋链在不同共形边界条件和缺陷下的普遍贡献。对于具有边界的自旋链,我们使用相应连续统理论的边界态解析计算了自旋链对EE的子主导贡献,并为自旋链提供了支持的数值计算。随后,我们分析了两种自旋链在保形缺陷存在下的电子电子行为,并描述了电子电子中前导对数项和次导对数项的变化。
Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal contributions in the EE. In this work, we analyze these universal contributions for the critical Ising and XXZ spin chains for different conformal boundary conditions and defects. For the spin chains with boundaries, we use the boundary states for the corresponding continuum theories to compute the subleading contribution to the EE analytically and provide supporting numerical computation for the spin chains. Subsequently, we analyze the behavior of EE in the presence of conformal defects for the two spin chains and describe the change in both the leading logarithmic and subleading terms in the EE.
DOI: 10.1088/1751-8113/49/35/354001
发表时间: 2016-01
期刊: Journal of Physics A: Mathematical and Theoretical
影响因子: --
作者:
D. Aasen;R. Mong;P. Fendley
通讯作者: D. Aasen;R. Mong;P. Fendley