标题： 从混沌能级间距的布朗扩散中获得的量子关联 显示英文标题

标题： Quantum correlations from Brownian diffusion of chaotic level-spacings

摘要： 量子混沌与底层量子能级间距序列的布朗扩散有关。 作为其顺序函数的能级间距执行随机游走，这表明能级间距的增量是不相关的随机增量，而可积性到混沌的转变则表现为能级间距增量从泊松统计到高斯统计的变化。 量子混沌谱相关性的普遍性质通过随机紧束缚格点的本征值和黎曼zeta函数零点进行了数值演示。 显示英文摘要

摘要： Quantum chaos is linked to Brownian diffusion of the underlying quantum energy level-spacing sequences. The level-spacings viewed as functions of their order execute random walks which imply uncorrelated random increments of the level-spacings while the integrability to chaos transition becomes a change from Poisson to Gauss statistics for the level-spacing increments. This universal nature of quantum chaotic spectral correlations is numerically demonstrated for eigenvalues from random tight binding lattices and for zeros of the Riemann zeta function.