论文标题
多粒子量子步行:拓扑多体激发的动态探针
Multiparticle quantum walk: a dynamical probe of topological many-body excitations
论文作者
论文摘要
最近的实验表明,单粒子量子步道可以揭示单粒子状态的拓扑特性。在这里,我们通过重点关注多粒子量子的强烈相互作用的费米子,将此图片推广到多体领域。在相互作用的su $(n)$ su-schrieffer-heeger链中注入了多种口味的$ n $颗粒后,他们的多颗粒连续量子步行将通过多种方法监测。我们发现,频谱的$ n $体部分中的多体浆果阶段在改变二聚体时具有拓扑过渡,类似于单粒子情况。这种拓扑过渡是由量子步行期间的单体和多体平均手性位移捕获的,并且仍然存在以进行较强的相互作用以及中度疾病。我们的预测在冷原子气体的实验范围内很好,可用于通过动态探针检测多体激发的拓扑特性。
Recent experiments demonstrated that single-particle quantum walks can reveal the topological properties of single-particle states. Here, we generalize this picture to the many-body realm by focusing on multiparticle quantum walks of strongly interacting fermions. After injecting $N$ particles with multiple flavors in the interacting SU$(N)$ Su-Schrieffer-Heeger chain, their multiparticle continuous-time quantum walk is monitored by a variety of methods. We find that the many-body Berry phase in the $N$-body part of the spectrum signals a topological transition upon varying the dimerization, similarly to the single-particle case. This topological transition is captured by the single- and many-body mean chiral displacement during the quantum walk and remains present for strong interaction as well as for moderate disorder. Our predictions are well within experimental reach for cold atomic gases and can be used to detect the topological properties of many-body excitations through dynamical probes.