论文标题
相互作用的费米昂系统中量子多体疤痕状态的特征态热化和消失
Eigenstate thermalization and disappearance of quantum many-body scar states in interacting fermion systems
论文作者
论文摘要
最近发现量子多体疤痕状态的发现揭示了有可能违反纠缠较低的状态，违反了不可整合系统中特征状态的热化假设。这种具有低纠缠熵的状态很少见，但自然存在于自由费米子的整合体系中。在这里，我们在分析上证明，当费米子之间引入任意弱相互作用时，这些非典型状态将始终消除。特别是，我们表明，具有满足子体积缩放定律的纠缠熵多体疤痕状态的概率会随着系统大小而呈指数型降低。因此，我们的结果为疤痕状态在相互作用的费米昂系统中的消失提供了定量论点。
The recent discovery of quantum many-body scar states has revealed the possibility of having states with low entanglement that violate the eigenstate thermalization hypothesis in nonintegrable systems. Such states with low entanglement entropy are rare but naturally exist in the integrable system of free fermions. Here, we demonstrate analytically that these atypical states would be always eliminated when an arbitrary weak interaction is introduced between the fermions. In particular, we show that the probability of having a many-body scar state with entanglement entropy satisfying a sub-volume scaling law decreases double exponentially as the system size. Thus, our results provide a quantitative argument for the disappearance of scar states in interacting fermion systems.
