论文标题
反示例的Bohigas猜想，用于通过aose差异晶格传播
Counterexample to the Bohigas Conjecture for Transmission Through aOne-Dimensional Lattice
论文作者
论文摘要
在存在有限数量的杂质的情况下，研究了通过一维有限晶格的颗粒传播的共振。尽管这是一个一维系统，在经典上可以集成并且没有混乱，研究了频谱的统计特性，例如水平间距分布和光谱刚度显示量子混沌特征。使用反映状态定位程度的无量纲参数，我们证明了从规律性到混乱的过渡如何受状态定位的影响。共振位置是使用Wigner-SmithTime-Delay和Siegert状态方法计算得出的，这些方法非常一致。我们的结果为一个维度存在的量子混乱存在提供了证据，这是Bohigas-Giannoni-Schmit猜想的反示例。
Resonances in particle transmission through a 1D finite lattice are studied in the presence of a finite number of impurities. Although this is a one-dimensional system that is classically integrable and has no chaos, studying the statistical properties of the spectrum such as the level spacing distribution and the spectral rigidity shows quantum chaos signatures. Using a dimensionless parameter that reflects the degree of state localization, we demonstrate how the transition from regularity to chaos is affected by state localization. The resonance positions are calculated using both the Wigner-Smithtime-delay and a Siegert state method, which are in good agreement. Our results give evidence for the existence of quantum chaos in one dimension which is a counter-example to the Bohigas-Giannoni-Schmit conjecture.
