无序系统中扩展态的控制工程
Controlled engineering of extended states in disordered systems
摘要：
我们描述了如何工程师波函数离域的无序系统模型的紧束缚哈密顿在d>1维。我们分析表明，一个简单的产品结构的随机现场的势能，加上适当选择的跳跃强度，允许共振散射过程导致沿一个方向的弹道输运，并控制共存的扩展布洛赫状态和各向异性本地化的状态在光谱中。我们证明，这些功能坚持在热力学极限的连续范围内的系统参数。数值结果支持这些研究结果，并突出了扩展制度的鲁棒性相对于有限系统的精确共振条件的偏差。该系统的定位和传输特性几乎可以随意地在每个方向上独立地进行设计。这项研究提出了设计无序势的可能性，作为开关器件和带通滤波器的量子波，如光晶格中的物质波。
英文摘要：
We describe how to engineer wavefunction delocalization in disordered systems modelled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random onsite potential energies, together with suitably chosen hopping strengths, allows a resonant scattering process leading to ballistic transport along one direction, and a controlled coexistence of extended Bloch states and anisotropically localized states in the spectrum. We demonstrate that these features persist in the thermodynamic limit for a continuous range of the system parameters. Numerical results support these findings and highlight the robustness of the extended regime with respect to deviations from the exact resonance condition for finite systems. The localization and transport properties of the system can be engineered almost at will and independently in each direction. This study gives rise to the possibility of designing disordered potentials that work as switching devices and band-pass filters for quantum waves, such as matter waves in optical lattices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
