论文标题
缓慢的多体内定位超出一个维度
Slow many-body delocalization beyond one dimension
论文作者
论文摘要
我们研究了用于准1D和2D几何形状相互作用的硬核玻色子的离域动力学，系统尺寸和时间尺度与最新实验相当。结果与1D案例非常相似，其缓慢，延伸的动力学以幂律衰减为特征。从这种衰变的冻结中，我们将重症障碍$ W_C（L，D）$推断为长度$ L $和宽度$ D $的函数。在准1D案例中，$ w_c $在固定$ d $时具有有限的大$ l $限制，这与$ d $相当大。在2D情况下，$ w_c（l，l）$用$ l $生长。结果与多体定位过渡的雪崩图片一致。
We study the delocalization dynamics of interacting disordered hard-core bosons for quasi-1D and 2D geometries, with system sizes and time scales comparable to state-of-the-art experiments. The results are strikingly similar to the 1D case, with slow, subdiffusive dynamics featuring power-law decay. From the freezing of this decay we infer the critical disorder $W_c(L, d)$ as a function of length $L$ and width $d$. In the quasi-1D case $W_c$ has a finite large-$L$ limit at fixed $d$, which increases strongly with $d$. In the 2D case $W_c(L,L)$ grows with $L$. The results are consistent with the avalanche picture of the many-body localization transition.
