Entanglement scaling of excited states in large one-dimensional many-body localized systems
Entanglement scaling of excited states in large one-dimensional many-body localized systems
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DOI：
10.1103/physrevb.93.245129
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发表时间：
2015-11
影响因子：
3.7
通讯作者：
D. Kennes;C. Karrasch
中科院分区：
文献类型：
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作者：
D. Kennes;C. Karrasch
我们使用矩阵乘积状态算法研究一维多体局域 (MBL) 系统中激发态的性质。首先，该方法针对大型无序非相互作用系统进行测试，为了进行比较，我们通过单粒子水平的蒙特卡罗采样计算准精确参考解。此后，我们提供了 L~100 个位点和大键维 chi~1700 的大型相互作用系统获得的大量数据，这使我们能够定量分析系统中纠缠 S 的缩放行为。 MBL 相的特征是在大范围内呈对数增长 (L)~log(L)，从而分离了体积定律和面积定律所适用的区域。我们检查本征态热化假设的有效性。我们的结果与移动性优势的存在是一致的。
We study the properties of excited states in one-dimensional many-body localized (MBL) systems using a matrix product state algorithm. First, the method is tested for a large disordered non-interacting system, where for comparison we compute a quasi-exact reference solution via a Monte Carlo sampling of the single-particle levels. Thereafter, we present extensive data obtained for large interacting systems of L~100 sites and large bond dimensions chi~1700, which allows us to quantitatively analyze the scaling behavior of the entanglement S in the system. The MBL phase is characterized by a logarithmic growth (L)~log(L) over a large scale separating the regimes where volume and area laws hold. We check the validity of the eigenstate thermalization hypothesis. Our results are consistent with the existence of a mobility edge.