AI 中文总结
研究时变失谐的耗散里德伯晶格激发动力学，用两种方法分析，识别出动力学交叉区域，揭示子晶格布居失衡对朗道-齐纳概率的影响及里德伯相互作用的相关效应。
AI 中文摘要
本工作研究具有时变失谐的拉比耦合耗散里德伯晶格的激发动力学。采用两种方法分析该系统：（i）平均场近似下的Lindblad主方程；（ii）有效非厄米哈密顿框架。平均场方法可捕捉里德伯激发分布中反铁磁序的出现，而非厄米描述能直接洞察支配朗道-齐纳动力学的复杂能谱及其避免交叉。我们识别出一个参数区域，其中子晶格布居失衡在避免交叉附近消失，导致两个子晶格上的朗道-齐纳概率相同。在临界有效阻塞强度之外，系统会发生动力学交叉进入另一区域，此时子晶格布居失衡会持续通过避免交叉，产生依赖于子晶格的朗道-齐纳概率。此外，在弱耗散和强拉比耦合下，里德伯相互作用会延长朗道-齐纳诱导激发的寿命；相反，在弱拉比耦合下，里德伯阻塞会抑制激发并降低朗道-齐纳跃迁概率。
英文摘要
In this work, we investigate the excitation dynamics of a Rabi-coupled dissipative Rydberg lattice with a time-dependent detuning. The system is analyzed using (i) a Lindblad master equation within a mean-field approximation and (ii) an effective non-Hermitian Hamiltonian framework. While the mean-field approach captures the emergence of an antiferromagnetic order in the Rydberg excitation profile, the non-Hermitian description provides direct insight into the complex energy spectrum and its avoided crossings, which govern the Landau$-$Zener dynamics. We identify a regime in which the sublattice population imbalance vanishes near the avoided crossing, resulting in identical Landau$-$Zener probabilities on the two sublattices. Beyond a critical effective blockade strength there is a dynamical crossover to another regime in which the sublattice population imbalance persists through the avoided crossing, giving rise to sublattice-dependent Landau$-$Zener probabilities. Furthermore, Rydberg interactions prolong the lifetime of Landau$-$Zener-induced excitations in the presence of weak dissipation and strong Rabi coupling. In contrast, for weak Rabi coupling, the Rydberg blockade inhibits excitation and suppresses the Landau$-$Zener transition probability.
