发表机构
School of Physics and Astronomy and Centre for the Mathematics and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham（诺丁汉大学物理与天文学学院及量子非平衡系统数学与理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究带约束四体相互作用的一维里德伯原子链的非热动力学，解析得到其低能哈密顿量与基态能量，发现其存在量子多体疤痕本征态，该模型可通过特定里德伯原子阵列实现。
AI 中文摘要
我们研究受约束四体相互作用驱动的线性里德伯原子链的动力学：仅当两个相邻原子的最近邻处于电子基态|0⟩时，这两个相邻原子才会同时从基态|0⟩被激发到里德伯态|1⟩。通过采用多体基态的试探波函数，低能哈密顿量被表示为三对角形式。在热力学极限下，多体基态能量随链长L线性缩放，该结果通过解析得到，且与精确对角化的结果一致。我们的模型支持量子多体疤痕本征态，这些本征态在能量上近乎等间距分布，且与基态|0⟩=|0⋯0⟩的重叠很强。我们表明，重叠分布会受依赖于态的四体相互作用影响而倾斜，这导致了非遍历动力学，初始态的重现可作为其证据。该四体约束模型可通过具有交替键长的Peierls阵列中的里德伯原子实现，其中较短键上的原子经历里德伯阻塞，较长键上的原子经历里德伯反阻塞。本研究结合里德伯阻塞与反阻塞，为探索四体相互作用下的约束非遍历动力学提供了途径。
英文摘要
We investigate dynamics of a linear chain of Rydberg atoms driven by a constrained four-body interaction, where two neighboring atoms are excited simultaneously from the electronic ground state $|0\rangle$ to Rydberg state $|1\rangle$ only when their closest neighbors are in $|0\rangle$ state. By employing an ansatz for the many-body ground state, the low-energy Hamiltonian is given by a tridiagonal form. The many-body ground state energy, which scales linearly with the chain length $L$, is obtained analytically in the thermodynamic limit and agrees with the one of the exact diagonalization. Our model supports quantum many-body scar eigenstates that are nearly equally spaced energetically. The scar states overlap strongly with the basis state $|\mathbf{0}\rangle=|0\cdots 0\rangle$. We show that the overlap distribution is tilted by the state-dependent four-body interaction. This leads to non-ergodic dynamics, evidenced by the revival of the initial state. The four-body constrained model can be realized with Rydberg atoms in a Peierls array with alternating bond lengths, where atoms on the shorter and longer bonds experience Rydberg blockade and antiblockade, respectively. Our study provides a pathway to explore constrained non-ergodic dynamics with four-body interactions by combining the Rydberg blockade and antiblockade.
