论文标题
无序的局部晶格计理论的光谱响应
Spectral response of disorder-free localized lattice gauge theories
论文作者
论文摘要
我们表明，某些表现出无障碍定位的晶格计理论在空间平均光谱函数中具有特征性的响应：一些尖锐的峰与零频率限制中消失的响应结合在一起。这反映了由于存在静态电荷而在局部阶段中碎片成局部有限簇时，动力活性区域的小簇的离散光谱。我们获得了动态结构因子的横向成分，该动态结构因子是通过中子散射实验探测的，在此阶段，由于分析估计和数值群集膨胀的结合而深处。我们还表明，大量有限簇的局部光谱函数寄主离散峰，其位置与我们的分析估计值一致。此外，由于真实的空间碎片而导致的信息传播，通过不平等的时间换向器诊断。我们的结果可用于将无序的局部相位与那些沮丧的磁体中的常规顺磁性相对方区分开，这些磁铁可能会意识到这种新兴的轨距理论。
We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions: a few sharp peaks combined with vanishing response in the zero frequency limit. This reflects the discrete spectra of small clusters of kinetically active regions formed in such gauge theories when they fragment into spatially finite clusters in the localized phase due to the presence of static charges. We obtain the transverse component of the dynamic structure factor, which is probed by neutron scattering experiments, deep in this phase from a combination of analytical estimates and a numerical cluster expansion. We also show that local spectral functions of large finite clusters host discrete peaks whose positions agree with our analytical estimates. Further, information spreading, diagnosed by an unequal time commutator, halts due to real space fragmentation. Our results can be used to distinguish the disorder-free localized phase from conventional paramagnetic counterparts in those frustrated magnets which might realize such an emergent gauge theory.
