Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars
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DOI：
10.1103/physrevlett.122.220603
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发表时间：
2019-06-07
影响因子：
8.6
通讯作者：
Abanin, Dmitry A.
中科院分区：
文献类型：
--
作者：
Choi, Soonwon;Turner, Christopher J.;Abanin, Dmitry A.
最近的实验观测的相干多体复苏的约束里德伯原子链的启发，我们构建了一个弱准局域变形的里德伯阻塞哈密顿量，这使得复苏几乎完美。我们的分析表明，存在一个潜在的不可积的哈密顿量，支持紧急SU（2）自旋动力学在一个小的子空间的多体希尔伯特空间。我们表明，这种完美的动力学需要存在非典型的，非遍历的能量本征态量子多体疤痕。此外，利用这些见解，我们构建了一个拥有精确量子多体伤疤的玩具模型，为它们的起源提供了直观的解释。我们的研究结果提供了具体的路线，以提高连贯的多体复苏，并提供了一个步骤，建立量子多体疤痕的热力学极限的稳定性。
Motivated by recent experimental observations of coherent many-body revivals in a constrained Rydberg atom chain, we construct a weak quasilocal deformation of the Rydberg-blockaded Hamiltonian, which makes the revivals virtually perfect. Our analysis suggests the existence of an underlying nonintegrable Hamiltonian which supports an emergent SU(2)-spin dynamics within a small subspace of the many-body Hilbert space. We show that such perfect dynamics necessitates the existence of atypical, nonergodic energy eigenstates-quantum many-body scars. Furthermore, using these insights, we construct a toy model that hosts exact quantum many-body scars, providing an intuitive explanation of their origin. Our results offer specific routes to enhancing coherent many-body revivals and provide a step toward establishing the stability of quantum many-body scars in the thermodynamic limit.