发表机构
Princeton University（普林斯顿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一维无序隐身超均匀点散射体量子传输的微扰理论，证明隐身条件与超均匀约束导致低阶项抵消及四阶项抑制，揭示无序SHU系统中波传播的普适规律。
AI 中文摘要
无序隐身超均匀（SHU）系统正成为控制经典和量子传输的平台，因为在隐身区域内单散射贡献消失。在此，据我们所知，我们首次提出了通过具有SHU位置无序的连续相同点散射体的一维量子传输的微扰理论。我们的微扰理论表明，由于傅里叶空间隐身条件$S(q)=0$，所有低阶项精确抵消，并且由于实空间超均匀约束$\lim\limits_{D\to\infty}\sigma_D^2=c<\infty$，Lyapunov指数$\lambda(k)$中最低的非零四阶项被进一步抑制。我们的发现对无序SHU系统中的一般波传播现象具有普适意义。
英文摘要
Disordered stealthy hyperuniform (SHU) systems are emerging as platforms for controlling classical and quantum transport due to vanishing single-scattering contributions in the stealthy regime. Here, to our knowledge, we present the first perturbation theory of one-dimensional quantum transport through a continuum of identical point scatterers with SHU positional disorder. Our perturbation theory indicates the exact cancellation of all the lower-order terms due to the Fourier-space stealthy condition $S(q)=0$, and the further suppression of the lowest non-vanishing fourth order in the Lyapunov exponent $λ(k)$ due to the real-space hyperuniform constraint $\lim\limits_{D\to\infty}σ_D^2=c<\infty$. Our findings presents universal implications of the general wave-propagation phenomena in disordered SHU systems.
Comments10 pages, 3 figures
