标题： 具有非均匀哈伯德相互作用的哈伯德模型中的 $\eta$ 配对态 显示英文标题

标题： $η$-pairing states in the Hubbard model with non-uniform Hubbard interaction

摘要： 在费米子Hubbard模型中存在$\eta $-配对本征态从根本上归因于$\eta $-配对对称性，这种对称性可能适用于具有非均匀Hubbard相互作用$U$的系统。 在这项工作中，我们提出了一个广义Hubbard模型，其中包含多种破坏SO$_{4}$对称性但保留$\eta $-配对对称性的伪自旋项。 这使我们能够构建各种具有$\eta $%-配对本征态的相关系统。我们通过考虑与替代磁场和 onsite排斥相关的修改后的Hubbard模型来举例说明我们的发现。 我们发现，相同的准-$\eta $-配对本征态在这两个模型中表现出两种不同的动态行为。 受几个典型哈密顿量驱动的时间演化数值结果与解析预测一致，并提供了一种利用时变哈密顿量控制$\eta $- 配对波包的方法。 显示英文摘要

摘要： The existence of $\eta $-pairing eigenstates in the fermionic Hubbard model is fundamentally rooted in the $\eta $-pairing symmetry, which may hold for systems with non-uniform Hubbard interaction $U$. In this work, we present a generalized Hubbard model containing a variety of pseudo-spin terms that break the SO$_{4}$ symmetry but retain the $\eta $-pairing symmetry. This allows us to construct a variety of correlated systems possessing $\eta $% -pairing eigenstates.\ We exemplify our findings by considering a modified Hubbard model associated with alternative magnetic fields and on-site repulsion. We find that the same quasi-$\eta $-pairing eigenstate exhibits two distinct dynamic behaviors in the two models. Numerical results of the time evolution driven by several typical Hamiltonians accord with the analytic predictions and provide a way of the control of an $\eta $-pairing wavepacket with the aid of a time-dependent Hamiltonian.