发表机构
Rutgers University; Flatiron Institute（罗格斯大学; 平顿研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过仅测量动力学研究自旋-1链，发现局域投影可将AKLT态驱动至三个不同相，并识别连续相变，扩展了受监测拓扑至玻色子SPT态。
AI 中文摘要
我们研究了相互作用的自旋-1链中的仅测量动力学，使用强制归一化的局域投影而非基于玻恩规则采样的测量结果。从最近邻（NN）Affleck-Kennedy-Lieb-Tasaki（AKLT）Haldane对称保护拓扑态出发，我们表明竞争的局域投影将该有序态驱动至三个不同的动力学相：无特征拓扑平凡的乘积态、显式二聚化的价键固态，以及由两条交织的Haldane链组成的拓扑平凡次近邻（NNN）AKLT态。利用矩阵乘积态和精确态矢量模拟，我们识别了这些相之间的连续相变，并使用非局域弦序参量、局域二聚序和纠缠标度对其进行表征。对于NN-NNN AKLT模型，有限尺寸特征与介入的扩展临界区而非单一直接相变一致。这些结果将受监测拓扑的研究扩展至玻色子对称保护拓扑态，并表明局域投影可以同时控制拓扑序和价键固态序。
英文摘要
We study measurement-only dynamics in an interacting spin-1 chain, using forced, normalized local projections rather than Born-rule-sampled measurement outcomes. Starting from the nearest-neighbor (NN) Affleck-Kennedy-Lieb-Tasaki (AKLT) Haldane symmetry-protected topological state, we show that competing local projectors drive this order toward three distinct dynamical phases: a featureless topologically trivial product state, an explicitly dimerized valence-bond-solid state, and a topologically trivial next-nearest-neighbor (NNN) AKLT state consisting of two interwoven Haldane chains. Using matrix product state and exact statevector simulations, we identify continuous transitions among these phases and characterize them using nonlocal string order parameters, local dimer order, and entanglement scaling. For the NN-NNN AKLT model, finite-size signatures are consistent with an intervening extended critical regime rather than a single direct transition. These results extend studies of monitored topology to a bosonic SPT and show that local projections can control both topological and valence-bond-solid order.
Comments24 pages, 14 figures
