论文标题
两分rydberg阵列中的量子多体疤痕起源于隐藏的投影仪
Quantum many-body scars in bipartite Rydberg arrays originate from hidden projector embedding
论文作者
论文摘要
我们研究了出现在PXP模型中，描述了受约束的Rabi振荡的“量子多体疤痕”状态的性质。对于Rydberg Atoms的一类{宽类的两分晶格}，我们揭示了这些状态的几乎能量的塔楼，这是由于哈密顿量与广义投影仪 - 装饰形式的紧密近端，这是许多托有量子多体scars的许多模型共同的结构。我们构建了托有精确量子疤痕的PXP模型的非热式但严格的局部扩展，并展示了如何在此框架内自然理解文献中各种遗传性疤痕稳定的扩展。确切的疤痕状态是在分析上获得的，因为明确构造的伪替辛的较大自旋状态。最终显示出从Néel状态随之而来的准周期运动是对大型伪季节预动力的Rydberg受限子空间的投影。
We study the nature of the ergodicity-breaking "quantum many-body scar" states that appear in the PXP model describing constrained Rabi oscillations. For a {wide class of bipartite lattices} of Rydberg atoms, we reveal that the nearly energy-equidistant tower of these states arises from the Hamiltonian's close proximity to a generalized projector-embedding form, a structure common to many models hosting quantum many-body scars. We construct a non-Hermitian, but strictly local extension of the PXP model hosting exact quantum scars, and show how various Hermitian scar-stabilizing extensions from the literature can be naturally understood within this framework. The exact scar states are obtained analytically as large spin states of explicitly constructed pseudospins. The quasi-periodic motion ensuing from the Néel state is finally shown to be the projection onto the Rydberg-constrained subspace of the precession of the large pseudospin.
