论文标题
在倾斜电位中的多体定位在两个维度
Many-body localization in a tilted potential in two dimensions
论文作者
论文摘要
多体系统中的热化可以通过线性增加的潜力来抑制,这被称为鲜明的多体定位。在这里,我们在二维无疾病的晶格上调查了这种现象的命运,最高可达$ 24 \ times 6 $。与一维情况相似,“密度极偏”区域可以充当实验室时间尺度运输和热化的瓶颈。但是,与一维情况相比,当涉及额外的空间尺寸时,需要更强大的潜在梯度来防止热化。讨论了这种差异的起源和对实验的影响。我们认为,在二维Stark多体系统中,通常对典型状态通常有利于定位,尽管对于特定的初始状态,例如在实验中探测的特定状态仍然可以观察到非效应性。
Thermalization in many-body systems can be inhibited by the application of a linearly increasing potential, which is known as Stark many-body localization. Here we investigate the fate of this phenomenon on a two-dimensional disorder-free lattice with up to $24 \times 6$ sites. Similar to the one-dimensional case, "density-polarized" regions can act as bottlenecks for transport and thermalization on laboratory timescales. However, compared to the one-dimensional case, a substantially stronger potential gradient is needed to prevent thermalization when an extra spatial dimension is involved. The origin of this difference and implications for experiments are discussed. We argue that delocalization is generally favored for typical states in two-dimensional Stark many-body systems, although nonergodicity can still be observed for a specific choice of initial states, such as those probed in experiments.