论文标题
部分可观测时空混沌系统的无模型预测
Slow melting of a disordered quantum crystal
论文作者
论文摘要
晶体角的融化是一种经典的现实世界，非平衡统计力学问题，它与其他物理和数学分支有了多种联系。为了在两个和三个维度中获得完美的经典晶体，溶液是已知的：晶体融化达到一定的渐近形状，它不断弹性膨胀。在本文中，我们进入量子领域，并表明存在淬火障碍的存在严重减慢了熔化过程。然而，我们表明没有多体定位过渡，这可能会阻碍晶体完全侵蚀。我们使用正向近似和通过数值模拟证明了这种主张。同时，我们展示了如何，尽管缺乏定位，但侵蚀动力学从弹道到对数方面放缓，从而将晶体完全融化到极端的时间表。
The melting of the corner of a crystal is a classical, real-world, non-equilibrium statistical mechanics problem which has shown several connections with other branches of physics and mathematics. For a perfect, classical crystal in two and three dimensions the solution is known: the crystal melts reaching a certain asymptotic shape, which keeps expanding ballistically. In this paper, we move onto the quantum realm and show that the presence of quenched disorder slows down severely the melting process. Nevertheless, we show that there is no many-body localization transition, which could impede the crystal to be completely eroded. We prove such claim both by a perturbative argument, using the forward approximation, and via numerical simulations. At the same time we show how, despite the lack of localization, the erosion dynamics is slowed from ballistic to logarithmic, therefore pushing the complete melting of the crystal to extremely long timescales.
