We perform novel energy and norm density resolved wave packet spreading studies in the disordered Gross-Pitaevskii (GP) lattice to confine energy density fluctuations. We map the locations of GP regimes of weak and strong chaos subdiffusive spreading in the 2D density control parameter space and observe strong chaos spreading over several decades. We obtain a renormalization of the ground state due to disorder, which allows for a new disorder-induced phase of disconnected insulating puddles of matter due to Lifshits tails. Inside this Lifshits phase, the wave packet spreading is substantially slowed down.

中文翻译：

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无序Gross-Pitaevskii格中的密度分解波包扩展

我们在无序的Gross-Pitaevskii（GP）晶格中进行新颖的能量和标准密度解析波包扩展研究，以限制能量密度波动。我们在2D密度控制参数空间中绘制了弱和强混沌亚扩散扩散的GP机制的位置，并观察了几十年来的强混沌扩散。由于无序，我们获得了基态的重新归一化，这允许由于Lifshits尾巴而导致的新的，由无序的绝缘物质水坑引起的无序诱导相。在此Lifshits阶段内，波包的扩展速度大大减慢。