论文标题
在随机非热汉尔顿人中的扩展状态的级别统计数据
Level statistics of extended states in random non-Hermitian Hamiltonians
论文作者
论文摘要
在随机的非热系统中，扩展状态之间没有水平排斥。结果，在常见的遗产系统中扩散金属的水平间距的一般维格 - 迪森分布被无数级金属在无限系统大小的热力学极限下的准粒子水平间距的泊松分布所取代。这是一个非常令人惊讶的结果，因为对于安德森绝缘子而言，泊松统计是普遍正确的，那里的能量本征态不能彼此重叠，以便能量水平彼此独立。对于无序的金属，不同的特征态相互重叠的无序金属，人们应该期望不同的水平彼此远离，以免彼此远离，以便不适用poisson的分布。我们的结果表明，较大的非热能（耗散）可以使量子力学中的含量原则无效。因此，我们的理论提供了统一的图片，用于在各种系统中发现所谓的“水平吸引力”。它还为操纵能级的理论基础提供了理论基础。
Absence of level repulsion between extended states in random non-Hermitian systems is demonstrated. As a result, the general Wigner-Dyson distributions of level spacing of diffusive metals in the usual Hermitian systems is replaced by the Poisson distribution for quasiparticle level spacing of non-Hermitian disordered metals in the thermodynamic limit of infinite system size. This is a very surprising result because Poisson statistics is universally true for the Anderson insulators where energy eigenstates do not overlap with each other so that energy levels are independent from each other.For disordered metals where different eigenstates overlap with each other, one should expect different levels trying to stay away from each other so that the Poisson distribution should not apply there. Our results show that the larger non-Hermitian energy (dissipation) can invalidate level repulsion principle that holds dearly in quantum mechanics. Thus, our theory provides a unified picture for recent discovery of so called "level attraction" in various systems. It provides also a theoretical basis for manipulating energy levels.
