Signatures of the many-body localized regime in two dimensions
Signatures of the many-body localized regime in two dimensions
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DOI：
10.1038/s41567-018-0339-x
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发表时间：
2017-11
期刊：
影响因子：
19.6
通讯作者：
T. Wahl;A. Pal;S. Simon
中科院分区：
文献类型：
--
作者：
T. Wahl;A. Pal;S. Simon
安德森定位的经验教训强调了真实空间的维度对于无序定位的重要性。近年来，多体定位的研究主要集中在一维的精确对角化和张量网络技术上。另一方面，二维的实验提供了具体的结果，超越了以前的数字极限，同时提出了几个具有挑战性的问题。我们提出了在冷原子中实现的二维无序玻色-哈伯德模型的大规模数值检验，该模型显示了基于纠缠的多体局部化特征。通过将低深度量子电路推广到二维，我们近似了大系统实验参数体系中的特征态，这超出了精确对角化的范围。对本征态纠缠结构的仔细分析表明，在与实验一致的参数范围内，以纠缠熵波动的峰值为标志的假定相变。
Lessons from Anderson localization highlight the importance of the dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focused on the phenomenon in one dimension using techniques of exact diagonalization and tensor networks. On the other hand, experiments in two dimensions have provided concrete results going beyond the previously numerically accessible limits while posing several challenging questions. We present the large-scale numerical examination of a disordered Bose–Hubbard model in two dimensions realized in cold atoms, which shows entanglement-based signatures of many-body localization. By generalizing a low-depth quantum circuit to two dimensions, we approximate eigenstates in the experimental parameter regimes for large systems, which is beyond the scope of exact diagonalization. A careful analysis of the eigenstate entanglement structure provides an indication of the putative phase transition marked by a peak in the fluctuations of entanglement entropy in a parameter range consistent with experiments.