论文标题
一维的Anyon Hubbard模型中与统计相关的多体定位
Statistically related many-body localization in the one-dimensional anyon Hubbard model
论文作者
论文摘要
多体定位（MBL）已广泛研究了费米子和玻色子，但是，对于Anyons来说，它的探索量要少得多。在这里，我们从数值上计算了与本地化和离域区域中的一维疾病的MBL相关的几种物理特征。我们发现，半链纠缠熵的对数缓慢的生长和区域法的生长，而不是在MBL相中对高度激发的本征态的体积法律服从。计算相邻的能级间隙比率参数，发现在深MBL相中表现出类似泊松的概率分布。通过研究杂交参数，我们揭示了统计数据可以诱导定位偏置转变的有趣作用。几个物理量，例如半链纠缠，相邻的能级间隙比例参数，{\ color {black}粒子不平衡的长期极限和临界混乱强度，被证明是非单调的，在任何人统计上都非单位依赖。此外，提出了基于能量水平光谱的可行计划，以实验这些统计相关特性的实验观察。
Many-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional disordered anyon-Hubbard model in both localized and delocalized regions. We figure out a logarithmically slow growth of the half-chain entanglement entropy and an area-law rather than volume-law obedience for the highly excited eigenstates in the MBL phase. The adjacent energy level gap-ratio parameter is calculated and is found to exhibit a Poisson-like probability distribution in the deep MBL phase. By studying a hybridization parameter, we reveal an intriguing effect that the statistics can induce localization-delocalization transition. Several physical quantities, such as the half-chain entanglement, the adjacent energy level gap-ratio parameter, {\color{black} the long-time limit of the particle imbalance}, and the critical disorder strength, are shown to be non-monotonically dependent on the anyon statistical angle. Furthermore, a feasible scheme based on the spectroscopy of energy levels is proposed for the experimental observation of these statistically related properties.
