论文标题
时间相关矩阵模型的光谱形式
Spectral Form Factor for Time-dependent Matrix model
论文作者
论文摘要
量子混乱与高斯随机矩阵模型有关，该模型显示了大尺寸$ n $的光谱形式中的倾斜 - 斜纹行为。时间依赖性高斯随机矩阵模型的光谱形式也显示出具有圆形行为的倾角 - 斜纹行为，而不是在海森伯格时间附近的扭结行为。该型号转换为由$ M_1 $和$ M_2 $制成的两个矩阵型号。比较了$ n $中的有限$ n $和分析表达的数值评估。
The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size $N$. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenberg time. This model is converted to two matrix model, made of $M_1$ and $M_2$. The numerical evaluation for finite $N$ and analytic expression in the large $N$ are compared for the spectral form factor.
