AI 中文总结
研究里德堡原子链中可积与不可积动力学共存现象，通过二分协议研究其随粒子密度变化的动力学行为，揭示不同初始状态下的变化，提出理论机制解释差异，证明可积性破坏与系统制备状态有关。
AI 中文摘要
我们表明，可积和不可积动力学可以在同一里德堡原子链中共存，这取决于系统制备的初始状态。在我们考虑的设定中，里德堡原子主要经历有效偶极相互作用，在最近邻近似下，其动力学可映射到具有弹道输运的有效可积费米气体。然而，包含长程耦合对于理论具有预测性至关重要；这些项打破了与可积性相关的守恒定律，特别是使得真正的扩散输运得以出现。我们研究了由二分协议产生的动力学，并揭示了随着粒子密度变化行为的急剧定性变化，这表明根据局部相互作用的相关性，在同一哈密顿量中有可能获得较弱和较强的可积性破坏动力学。我们提出了一种解释这些差异的理论机制。我们的发现提供了明确而具体的证据，即可积性破坏不仅是哈密顿量和破坏可积性的耦合强度的属性，也是系统制备状态的属性。
英文摘要
We show that integrable and non-integrable dynamics can coexist in the same Rydberg-atom chain, depending on the initial state in which the system is prepared. In the setting we consider, Rydberg atoms mainly experience an effective dipolar interaction and, within the nearest-neighbor approximation, their dynamics can be mapped onto an effective integrable Fermi gas with ballistic transport. The inclusion of longer-range couplings, however, is essential for the theory to be predictive; those terms break the conservation laws associated with integrability, enabling, in particular, the emergence of genuine diffusive transport. We study the dynamics generated by a bipartition protocol and reveal a sharp qualitative change in behavior as the particle density is varied, suggesting the possibility of accessing weaker and stronger integrability breaking dynamics in the same Hamiltonian depending on the relevance of local interactions. We propose a theoretical mechanism that accounts for the differences. Our findings provide clear and concrete evidence that integrability breaking is not solely a property of the Hamiltonian and of the magnitude of the couplings that break integrability, but also of the state in which the system is prepared.
Comments4.5 pages + End Matter, 3 figures
