量子台球中弱局域化的衍射路径
Diffractive paths for weak localization in quantum billiards
摘要：
研究了具有正则经典动力学的干净弹道腔中量子输运的弱局域效应。我们解决的问题，通过一个系统的无序和混乱的抑制的电导的路径占。通过利用量子和半经典的方法，我们明确地识别路径衍射背散射到腔（当接近铅口从腔内部）发挥关键作用。衍射散射耦合透射和反射路径，因此对于再现反射中的弱局部化峰和透射中的相应反峰是必不可少的。具有这些衍射路径的半经典计算的比较产生良好的协议与全量子计算和实验数据。我们的理论提供了系统特定的预测的量子制度的几个开放的铅模式，可以预期的是相关的混合以及混沌系统。
英文摘要：
We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and chaos are absent. By exploiting both quantum and semiclassical methods, we unambiguously identify paths that are diffractively backscattered into the cavity (when approaching the lead mouths from the cavity interior) to play a key role. Diffractive scattering couples transmitted and reflected paths and is thus essential to reproduce the weak-localization peak in reflection and the corresponding anti-peak in transmission. A comparison of semiclassical calculations featuring these diffractive paths yields good agreement with full quantum calculations and experimental data. Our theory provides system-specific predictions for the quantum regime of few open lead modes and can be expected to be relevant also for mixed as well as chaotic systems.
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