Scaling of Entanglement Entropy at Deconfined Quantum Criticality
Scaling of Entanglement Entropy at Deconfined Quantum Criticality
复制标题
解禁量子临界点下纠缠熵的缩放
DOI：
10.1103/physrevlett.128.010601
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发表时间：
2022
影响因子：
8.6
通讯作者：
Zi Yang Meng
中科院分区：
文献类型：
--
作者：
Jiarui Zhao;Yan-Cheng Wang;Zheng Yan;Meng Cheng;Zi Yang Meng
我们提出了一种非平衡增量方法来计算r<s:1>纠缠熵，并通过大规模量子蒙特卡罗模拟研究了其在定义临界（DQC）点的标度行为。为了对该方法进行基准测试，我们首先证明，在O(3)跃迁的保形不变临界点处，纠缠熵具有具有对数角修正的面积律的普遍标度行为，并且得到的修正指数表示当前临界理论的中心电荷。然后我们继续到定义量子临界点，在那里我们仍然观察到类似的缩放行为，但指数非常不同。即拐角修正指数为负。这种负指数与r<s:1>纠缠熵的正条件形成了鲜明的对比，该条件适用于幺正共形场理论（CFTs）。我们的结果明确地揭示了DQC和由单位CFTs描述的量子临界点之间的根本差异。
We develop a nonequilibrium increment method to compute the Rényi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method, we first show that, at a conformally invariant critical point of O(3) transition, the entanglement entropy exhibits universal scaling behavior of area law with logarithmic corner corrections, and the obtained correction exponent represents the current central charge of the critical theory. Then we move on to the deconfined quantum critical point, where we still observe similar scaling behavior, but with a very different exponent. Namely, the corner correction exponent is found to be negative. Such a negative exponent is in sharp contrast with the positivity condition of the Rényi entanglement entropy, which holds for unitary conformal field theories (CFTs). Our results unambiguously reveal fundamental differences between DQC and quantum critical points described by unitary CFTs.