发表机构
College of Physics and Materials Science, Tianjin Normal University（天津师范大学物理与材料科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究将超越旋波近似的腔-原子系统动力学转化为有效紧束缚问题，揭示其在大、小光子数区域分别呈现的SSH型梯子能谱与跃迁诱导局域化特性，为相关实验现象提供定量解释。
AI 中文摘要
我们研究超越旋波近似的腔-原子系统，并将其动力学重新表述为激发数基下的有效紧束缚问题。该实验相关的光-物质平台呈现出由光子数控制的两种不同区域：在大光子数区域，跃迁振幅几乎均匀，有效晶格简化为受线性能量梯度作用的二聚化SSH型链，其能谱组织为一或两个Wannier-Stark梯子，产生可控的布洛赫振荡与布洛赫-齐纳振荡，并定量解释观测到的 revival 模式；在小光子数区域，固有的√(n̄+(…))依赖关系产生显著的跃迁变形，即沿激发数晶格递增的二聚化耦合，该变形重塑态密度、增强集体局域化并产生本征态的能量分辨空间偏差，对应的实时动力学呈现方向相关的反常扩散，以及在选定参数窗口中的类布洛赫 revival 与拍频现象。我们的结果表明，同一腔-原子平台可在激发数空间中实现涌现的梯子能谱与跃迁诱导的局域化。
英文摘要
We investigate a cavity--atom system beyond the rotating-wave approximation and recast its dynamics as an effective tight-binding problem in the excitation-number basis. The same experimentally relevant light--matter platform exhibits two distinct regimes controlled by the photon number. In the large-photon-number regime, the hopping amplitudes become nearly uniform and the effective lattice reduces to a dimerized SSH-type chain subject to a linear energy gradient. The spectrum then organizes into one or two Wannier--Stark ladders, giving rise to controllable Bloch and Bloch--Zener oscillations and quantitatively explaining the observed revival patterns. In the small-photon-number regime, the intrinsic $\sqrt{\bar n+(\cdots)}$ dependence produces a pronounced hopping deformation, namely dimerized couplings that increase along the excitation-number lattice. This deformation reshapes the density of states, enhances collective localization, and generates an energy-resolved spatial bias of the eigenstates. The corresponding real-time dynamics displays direction-dependent anomalous diffusion together with Bloch-like revivals and beat phenomena in selected parameter windows. Our results show that the same cavity--atom platform can realize both emergent ladder spectra and hopping-induced localization in excitation-number space.
