论文标题
在一维晶格上具有远距离库仑相互作用的无旋转费米的慢速运输和绑定状态
Slow transport and bound states for spinless fermions with long-range Coulomb interactions on one-dimensional lattices
论文作者
论文摘要
我们通过数值模拟对不平衡动力学的数值模拟在高温下与远距离库仑相互作用的无自旋费物进行的运输和放松。我们发现，用于增加耦合$ V $的运输和放松不断放慢速度，并且运输类型存在过渡。对于中间耦合，该系统表现出正常的扩散运输，但发作的时间尺度很长。对于大型耦合，它表现出宽敞的传输，同时，放松时间的系统长度呈指数差异，具有MBL样相。我们将缓慢的运输归因于慢速状态和稳定颗粒簇的形成。对于少数粒子系统，我们证明存在，可视化延迟并分析结合状态的碰撞特性。对于许多高密度的粒子，应该在许多不同的长度尺度上有颗粒簇的层次结构。我们认为，在大耦合下，稳定簇的平均最大尺寸应与晶格的长度线性缩放，这与MBL样行为一致。
We study transport and relaxation of spinless fermions with long-range Coulomb interactions at high temperatures through numerical simulations of out-of-equilibrium dynamics. We find that the transport and relaxation are continuously slowing down for increasing coupling $V$, and that there is a transition in the type of transport. For intermediate couplings, the system exhibits normal diffusive transport but the time scale for the onset of that is long. For large couplings, it exhibits subdiffusive transport, while at the same time the relaxation time diverges exponentially with system lengths, featuring an MBL-like phase. We attribute the slow transport to formation of slow bound states and stable clusters of particles. For few-particle systems we prove existence, visualize the slowness and analyze collision properties of the bound states. For many particles at high densities there should be a hierarchy of clusters of particles on many different length scales. We argue that at large couplings the average maximal size of the stable clusters should scale linearly with the length of the lattice, which is in accordance with the MBL-like behavior.
