论文标题
PXP模型中的零能量特征状态的数量
Number of zero-energy eigenstates in the PXP model
论文作者
论文摘要
PXP模型在量子多体疤痕领域具有范式。该模型具有许多零能量的特征状态，这些特征态在系统大小上呈指数级。对于开放和周期性和周期性（零和$π$ -Momentum部门）的边界条件，获得了零能量特征状态数的下限。这些边界被认为是紧密的，直至通过数值精确的对角线化可以访问的系统尺寸，并且总体上预计会紧密。除了先前的结果外，还可以为空间反与对称和反演 - 抗对称对称扇区获得单独的下限。此外，这些推导对以前的派生有所改善，因为它们没有假设。
The PXP model is paradigmatic in the field of quantum many-body scars. This model has a number of zero-energy eigenstates that is exponentially large in system size. Lower bounds on the number of zero-energy eigenstates are obtained for both open and periodic (zero and $π$-momentum sectors) boundary conditions. These bounds are found to be tight up to system sizes accessible by numerical exact diagonalization, and can be expected to be tight in general. In addition to previous results, separate lower bounds are obtained for the spatial inversion-symmetric and inversion-antisymmetric symmetry sectors. Furthermore, the derivations improve on previous ones as these are free of assumptions.
