Nicolai超对称费米子格点模型的遍历破缺和局域化
Ergodicity breaking and Localization of the Nicolai supersymmetric fermion lattice model
摘要：
本文研究了赫尔曼·尼古拉定义的超对称费米子晶格模型的动力学。我们提供了它的局部费米子运动常数存在无穷多。这些产生了尼古拉模型除了定义动力学超对称性之外所拥有的隐藏的局部超对称性。这种局部常数的存在直接暗示了模型在Mazur意义下的破缺遍历性。在零温度下，存在无穷多个简并的经典基态。我们讨论这些MBL类属性。首先，我们证明了De Roeck-Huveneers提出的离域方案不能简单地应用于零温下的Nicolai模型，尽管它具有无无序的非定域不变量子相互作用。第二，我们在Coux-Mossel的基础上讨论了Nicolai模型的量子可积性。
英文摘要：
We investigate dynamics of the supersymmetric fermion lattice model defined by Hermann Nicolai. We provide its local fermionic constants of motion that exist infinitely many. These generate hidden local supersymmetries that the Nicolai model possesses in addition to its defining dynamical supersymmetry. The existence of such local constants directly implies the breaking ergodicity of the model in the sense of Mazur. At zero temperature, there are infinitely many degenerated classical ground states. We discuss these MBL-like properties. First, we show the delocalization scenario proposed by De Roeck-Huveneers can not naively apply to the Nicolai model at zero temperature despite its disorder-free translation-invariant quantum interaction. Second, we discuss the quantum integrability of the Nicolai model based on the proposal by Caux-Mossel.
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