标题： 费米子动力学约束模型中来自超对称性的弱遍历性破坏 显示英文标题

标题： Weak ergodicity breaking from supersymmetry in a fermionic kinetically constrained model

摘要： 超对称为构建表现出弱遍历性破坏的动能约束格点费米子模型提供了一个自然的平台。 超对称代数自然地诱导了非遍历动力学，我们通过引入一个具有可调化学势的PXP模型的费米子等价物来说明这一点。 该模型与 $\mathcal{N} = 2$超对称$M_1$模型密切相关。 超对称直接意味着对于特定初始状态的动力学表现出周期性回波，包括$\mathbb{Z}_2$有序（每隔一个站点被占据）的乘积态。 这些动力学类似于PXP模型的动力学，PXP模型是量子多体疤痕领域的一个典型玩具模型。 我们通过揭示遵循次热纠缠尺度的量子多体疤痕类似本征态来进一步建立类比，这些本征态的能量由整数的平方根（正或负）给出，并将它们与$M_1$模型的特殊本征态联系起来。 显示英文摘要

摘要： Supersymmetry provides a natural playground for the construction of kinetically constrained lattice fermion models showing weak ergodicity breaking. The supersymmetric algebra naturally induces non-ergodic dynamics, as we illustrate here by introducing a fermionic equivalent of the PXP model with an adjustable chemical potential. This model is closely related to the $\mathcal{N} = 2$ supersymmetric $M_1$ model. Supersymmetry directly implies that the dynamics exhibit periodic revivals for specific initial states, including the $\mathbb{Z}_2$-ordered (every second site occupied) product state. These dynamics are reminiscent to those of the PXP model, a paradigmatic toy model in the field of quantum many-body scars. We draw a further parallel by uncovering quantum many-body scar-like eigenstates obeying sub-thermal entanglement scaling at energies given by (plus or minus) square roots of integers and relate these to special eigenstates of the $M_1$ model.