Entanglement and corner Hamiltonian spectra of integrable open spin chains
Entanglement and corner Hamiltonian spectra of integrable open spin chains
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可积开放自旋链的纠缠和角哈密顿谱
DOI：
10.1103/physrevb.94.195110
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
and Jung Hoon Han
中科院分区：
文献类型：
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作者：
Panjin Kim;Hosho Katsura;Nandini Trivedi;and Jung Hoon Han
利用密度矩阵重整化群方法研究了临界自旋链和其他有限长度可积模型的纠缠熵（EE）和纠缠谱（ES）。对于所有的调查模型，我们发现一个显着的协议的能级间距和简并结构的ES与频谱的角落哈密顿量（CS），定义为相关的角落转移矩阵的生成器。对于我们已经检查过的所有值，在自旋模型的边缘的切割位置处的对应关系与长度的角哈密顿量的谱之间保持一致。切割位置依赖的ES显示了一个周期振荡的行为为一个givenchain，让人想起振荡的纠缠熵的一部分，在过去观察到的相同的模型。然而，ES的振荡并没有在链的大部分中消失，与纠缠熵的渐近消失的振荡相反。我们提出了一个启发式的论点，可以解释定性的ES的周期结构的基础上扬tableaux建设。
We investigate the entanglement entropy (EE) and entanglement spectra (ES) of criticalspin chains and other integrable models of finite length with the density matrix renormalization group method. For all models under investigation, we find a remarkable agreement of the level spacings and the degeneracy structure of the ES with the spectrum of the corner Hamiltonian (CS), defined as the generator of the associated corner transfer matrix. The correspondence holds betweenat thecut position from the edge of the spin model, and the spectrumof the corner Hamiltonian of length, for all values ofthat we have checked. The cut position dependence of the ES shows a period-oscillatory behavior for a givenchain, reminiscent of the oscillatory part of the entanglement entropy observed in the past for the same models. However, the oscillations of the ES do not die out in the bulk of the chain, in contrast to the asymptotically vanishing oscillation of the entanglement entropy. We present a heuristic argument based on Young tableaux construction that can explain the period-structure of the ES qualitatively.