AI 中文总结
研究一维环形晶格上吸引性SU(N)费米子束缚态，借助精确对角化等方法分解多体谱，通过钉扎淬火协议揭示动力学转变，发现其束缚态动力学类似多体量子行走，还探究了在位无序下的鲁棒性。
AI 中文摘要
我们研究了一维环形晶格上吸引相互作用的SU(N)费米子中束缚态的形成、动力学和无序鲁棒性。利用固定动量扇区中的精确对角化以及贝塞耳假设精确结果作为指导，我们将多体谱分解为与粒子可能划分为束缚复合体相关的能带，并通过密度 - 密度和N体关联来表征其内部结构。一个钉扎淬火协议揭示了随着吸引相互作用相对于单粒子跳跃增加，从色散扩展到动态局域化的转变。我们发现每个分量一个粒子的束缚态动力学表现为类似于具有重整化有效质量的单个粒子的多体量子行走。这种性质，即经典孤子形状保持运动的量子版本，可以提供费米子孤立波的动力学特征。我们探究了在位无序下费米子束缚态动力学的鲁棒性。
英文摘要
We study the formation, dynamics, and disorder robustness of bound states in attractively interacting SU(N) fermions on a one-dimensional ring lattice. Using exact diagonalization in fixed-momentum sectors and Bethe ansatz exact results as a guide, we resolve the many-body spectrum into bands related to the possible partitions of the particles into bound composites, and characterize their internal structure also through density-density and N-body correlations. A pinning quench protocol reveals a transition from dispersive spreading to dynamical localization as the attractive interaction increases relative to the single-particle hopping. We find that the bound state dynamics for one-particle per component occurs as a many-body quantum walk similar to that of a single particle with a re-normalized effective mass. Such a property, that is the quantum version of the shape-preserving motion of classical solitons, can provide the dynamical signature of the fermionic solitary waves. We probe the robustness of the fermionic bound-state dynamics under on-site disorder.
Comments13 pages, 9 figures
