论文标题
基于成对或多个链条链中的多聚体的确切多体疤痕
Exact many-body scars based on pairs or multimers in a chain of spinless fermions
论文作者
论文摘要
我们构建了无自旋费米的一维模型哈密顿量，为$η$ pairing状态的无自旋类似物是该模型的量子多体疤痕。这些状态是激发的状态，并显示了子体积纠缠熵缩放。它们形成了在能量中平均间隔的状态塔（导致洛斯米德特回声的周期性振荡以及在其叠加中制备的初始状态的可观察结果的时间演变），并且它们是非典型的，因为它们微弱地破坏了特征态热化假设，而其他兴奋的状态则是热的状态。我们通过使用位于布里渊区边缘的多聚体产生的疤痕状态塔来展示模型来扩展该方法。
We construct a 1D model Hamiltonian of spinless fermions for which the spinless analogue of $η$-pairing states are quantum many-body scars of the model. These states are excited states and display subvolume entanglement entropy scaling; they form a tower of states that are equally spaced in energy (resulting in periodic oscillations in the Loschmidt echo and in the time evolution of observables for initial states prepared in a superposition of them) and are atypical in the sense that they weakly break the eigenstate thermalization hypothesis, while the other excited states are thermal. We extend the approach by presenting models with a tower of scar states generated by multimers located at the edge of the Brillouin zone.
