Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the fundamental origin of PXP scars remains elusive. By investigating the discretized dynamics of the PXP model as a function of the Trotter step 𝜏, we uncover a remarkable correspondence between the zero- and two-particle eigenstates of the integrable Floquet-PXP cellular automaton at 𝜏=𝜋/2 and the PXP many-body scars of the time-continuous limit. Specifically, we demonstrate that PXP scars are adiabatically connected to the eigenstates of the 𝜏=𝜋/2 Floquet operator. Building on this result, we propose a protocol for achieving high-fidelity preparation of PXP scars in Rydberg atom experiments.

中文翻译：

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通过 Floquet Dynamics 揭开 PXP 多体疤痕的面纱


量子疤痕是逃避热化的多体系统的特殊特征态。它们最初是在 PXP 模型中发现的，PXP 模型是众所周知的里德堡原子阵列的有效描述。尽管在理论上做出了重大努力，但 PXP 疤痕的根本原因仍然难以捉摸。通过研究 PXP 模型的离散动力学作为 Trotter 步骤 τ 的函数，我们揭示了 τ=π/2 处可积 Floquet-PXP 元胞自动机的零粒子和双粒子特征态与时间连续极限的 PXP 多体疤痕之间的显着对应关系。具体来说，我们证明了 PXP 瘢痕与 τ=π/2 Floquet 算子的特征态绝热相关。基于这一结果，我们提出了一种在 Rydberg 原子实验中实现 PXP 疤痕高保真制备的方案。