论文标题
二维相互作用无序费米的动力学的半古典界限
Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
论文作者
论文摘要
使用截短的Wigner近似（TWA），我们研究了二维晶格系统的淬灭动力学，这些晶格系统包括具有潜在障碍的无旋转费米子。首先，我们证明，半经典动力学通常比完整的量子动力学更快。我们通过比较半经典动力学与一维链的兰克索传播来获得这一结果。接下来，利用模拟大晶格的TWA功能，我们研究了放松率如何取决于研究系统的维度。我们表明，强烈无序的一维和二维系统表现出短暂的，对数的放松，该系统最近是用于一维链的。这种放松对应于臭名昭著的$ 1/f $ noise在强障碍上。
Using the truncated Wigner approximation (TWA) we study quench dynamics of two-dimensional lattice systems consisting of interacting spinless fermions with potential disorder. First, we demonstrate that the semiclassical dynamics generally relaxes faster than the full quantum dynamics. We obtain this result by comparing the semiclassical dynamics with exact diagonalization and Lanczos propagation of one-dimensional chains. Next, exploiting the TWA capabilities of simulating large lattices, we investigate how the relaxation rates depend on the dimensionality of the studied system. We show that strongly disordered one-dimensional and two-dimensional systems exhibit a transient, logarithmic-in-time relaxation, which was recently established for one-dimensional chains. Such relaxation corresponds to the infamous $1/f$-noise at strong disorder.
