论文标题
特殊的约束状态和负面的纠缠熵
Exceptional Bound States and negative Entanglement Entropy
论文作者
论文摘要
这项工作引入了一种新的强大状态，称为特殊边界（EB）状态，这些状态与众所周知的拓扑结构和非铁皮皮肤边界状态不同。 EB状态发生在存在特殊点的情况下，这是非武力的临界点，在该点征收特征态，并且未能跨越希尔伯特空间。这种特征空间的赤字不仅限制了状态信息的可访问性，而且还限制了与远程顺序的相互作用，以引起只有在非炎者环境中才有可能的奇异传播器。与普通的费米海国家的概率不同的概率在零和一个之间，它们所得的EB本征的特征是强大的较大或负职业概率。 EB状态在各种量子猝灭后保持稳健，并引起神秘的负纠缠熵贡献。通过合适的扰动，可以连续调节对数纠缠熵缩放的系数。 EB状态是由几何缺陷引起的鲁棒性的新途径，与拓扑保护无关或非临界泵送。
This work introduces a new class of robust states known as Exceptional Boundary (EB) states, which are distinct from the well-known topological and non-Hermitian skin boundary states. EB states occur in the presence of exceptional points, which are non-Hermitian critical points where eigenstates coalesce and fail to span the Hilbert space. This eigenspace defectiveness not only limits the accessibility of state information, but also interplays with long-range order to give rise to singular propagators only possible in non-Hermitian settings. Their resultant EB eigenstates are characterized by robust anomalously large or negative occupation probabilities, unlike ordinary Fermi sea states whose probabilities lie between zero and one. EB states remain robust after a variety of quantum quenches and give rise to enigmatic negative entanglement entropy contributions. Through suitable perturbations, the coefficient of the logarithmic entanglement entropy scaling can be continuously tuned. EB states represent a new avenue for robustness arising from geometric defectiveness, independent of topological protection or non-reciprocal pumping.
