非可积系统中测量诱导相变的标度与纠缠
Scaling vs entanglement in measurement-induced phase transition for non-integrable systems
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中文总结 AI 辅助
该研究验证了确定性全局测量诱导的相变在非可积TFIM、ANNNI模型中依然存在，发现相变标度行为依赖初态，为理解该类相变的鲁棒性提供了关键依据。
中文摘要 AI 辅助
我们发现，由确定性全局测量产生的测量诱导相变，此前在可积的横场伊辛模型（TFIM）中已被观测到，在该模型的非可积变体中依然存在。为解决这一问题，我们考虑了带有纵向场的TFIM以及轴向次近邻伊辛（ANNNI）模型。我们证明，对于两种不同的初态——所有自旋沿横向方向极化的乘积态，以及格林伯格-霍恩-蔡林格（GHZ）态——存活概率与 bipartite 纠缠熵均能一致地描述面积律纠缠相与体积律纠缠相之间的相变。有限尺寸标度揭示了显著的初态依赖性：对于极化乘积态，两种非可积模型的相变点均遵循与系统尺寸成反平方根的标度，与可积TFIM的情况一致；而对于GHZ初态，其偏离该标度，且在非可积模型中比在可积TFIM中趋近于零的速度慢得多。这些结果确立了确定性测量下测量诱导相变在可积性破缺时的鲁棒性，同时凸显了初态在决定其标度行为中的关键作用。
英文摘要
We find that the measurement-induced phase transition generated by deterministic global measurements, previously observed in the integrable transverse-field Ising model (TFIM), persists in non-integrable variants of the same. To address this question, we consider the TFIM with longitudinal field and the axial next-nearest-neighbor Ising (ANNNI) model. We show that both the survival probability and the bipartite entanglement entropy consistently capture a transition between area-law and volume-law entangled phases for two distinct initial states: a product state with all spins polarized along the transverse direction and a Greenberger-Horne-Zeilinger (GHZ) state. Finite-size scaling reveals a pronounced initial state dependence: for the polarized product state, the transition point follows an inverse-square-root scaling with system size in both non-integrable models, consistent with the integrable TFIM, whereas for the GHZ initial state, it deviates from this scaling and approaches zero considerably more slowly in the non-integrable models than in the integrable TFIM. These results establish the robustness of measurement-induced transitions under deterministic measurements against integrability breaking while highlighting the crucial role of the initial state in governing their scaling behavior.
