论文标题
失败热雪崩的平均场理论
Mean field theory of failed thermalizing avalanches
论文作者
论文摘要
我们表明，在二维调制的二维系统中的定位稳定在有限的麦芽岩密度上。这与随机调制的系统的情况形成对比，在这种情况下，这种粒子将雪崩热量化。这些结果是在定量准确，自洽的纠缠平均场理论中获得的，该理论在分析上描述了与中央恒星晶粒相关的两个级别系统。该理论预测了跨本征态每个两个级别系统的纠缠熵的分布，以及动态可观察物的较晚时间值。除了恢复已知的雪崩现象学外，该理论还重现了精确的对角数据，并预测当雪崩失败时热层化区域的空间谱。
We show that localization in quasiperiodically modulated, two-dimensional systems is stable to the presence of a finite density of ergodic grains. This contrasts with the case of randomly modulated systems, where such grains seed thermalizing avalanches. These results are obtained within a quantitatively accurate, self-consistent entanglement mean field theory which analytically describes two level systems connected to a central ergodic grain. The theory predicts the distribution of entanglement entropies of each two level system across eigenstates, and the late time values of dynamical observables. In addition to recovering the known phenomenology of avalanches, the theory reproduces exact diagonalization data, and predicts the spatial profile of the thermalized region when the avalanche fails.
