调查 Lipkin-Meshkov-Glick 模型与相变增强计量学在协同 Ising 机器中
摘要
量子临界性因其能够显著提升量子感知而受到广泛关注。但其在众多体系中的实现和控制仍富有挑战性。我们present了一种有效方案，用于在由退化光学准放大器(DOPO)组成的协同Ising机器(CIM)中模拟Lipkin-Meshkov-Glick(LMG)模型。在我们的工作中，将LMG模型的自旋变量映射到DOPO脉冲的相位上，并通过它们之间全连接耦合实现自旋-自旋相互作用。通过对反铁磁耦合LMG模型在极限(N\rightarrow\infty)下的临界行为进行调查，并将其应用于临界点附近的量子感知，我们验证了CIM不仅有效地捕捉了临界点处的二级量子相变(QPT)，而且在铁磁耦合下重建了其完整的相图。 Furthermore, we demonstrate how the critical dynamics of this simulation platform can be utilized for quantum-enhanced metrology, achieving a measurement precision that diverges near the critical point of the LMG model. These results highlight the capability of the CIM as a flexible experimental platform for investigating the QPT in the fundamental quantum magnetic models, providing valuable insights into quantum simulation and critical phenomena.
引用
@article{arxiv.2603.13882,
title = {Investigating Lipkin-Meshkov-Glick Model and Criticality-Enhanced Metrology in a Coherent Ising Machine},
author = {Shuang-Quan Ma and Jing-Yi-Ran Jin and Chen-Rui Fan and Chuan Wang and Qing Ai},
journal= {arXiv preprint arXiv:2603.13882},
year = {2026}
}