动量空间工程化的空间光子伊辛机用于长程相互作用
Momentum-Space-Engineered Spatial Photonic Ising Machine for Long-Range Interactions
- School of Optical and Electronic Information, Huazhong University of Science and Technology（华中科技大学光学与电子信息学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出动量空间工程化SPIM框架，通过映射长程耦合核至动量空间掩模，并行评估哈密顿量，系统研究幂律与RKKY相互作用退火动力学，并实验验证，拓宽了SPIM可模拟的多体系统范围。
AI中文摘要：
具有密集非局域和竞争相互作用的长程伊辛模型（LRIMs）是统计物理、量子模拟和复杂网络的核心。尽管空间光子伊辛机（SPIM）利用固有的光学并行性进行伊辛计算，但其忠实编码密集长程耦合并捕捉由此产生的热力学特征的能力仍未得到充分探索。在此，我们提出了一种动量空间工程化的SPIM框架，将预设的长程耦合核映射到动量空间掩模上，用于并行哈密顿量评估。基于高保真光场传播模型，系统研究了具有幂律和Ruderman-Kittel-Kasuya-Yosida（RKKY）相互作用的LRIMs的退火动力学。对于幂律模型，我们研究了衰减指数σ和耦合截断半径R对估计临界温度的调制。对于RKKY模型，我们再现了由复杂竞争长程相互作用诱导的各种有序态。一项原理验证实验证明了我们方法的物理可行性。该框架拓宽了SPIM平台可访问的多体系统类别。
英文摘要：
Long-range Ising models (LRIMs) with dense nonlocal and competing interactions are central to statistical physics, quantum simulation, and complex networks. Although the spatial photonic Ising machine (SPIM) exploits intrinsic optical parallelism for Ising computation, its ability to faithfully encode dense long-range couplings and capture the resulting thermodynamic signatures remains underexplored. Here, we present a momentum-space-engineered SPIM framework that maps prescribed long-range coupling kernels onto momentum-space masks for parallel Hamiltonian evaluation. Based on a high-fidelity optical field propagation model, the annealing dynamics of LRIMs with power-law and Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions are systematically investigated. For the power-law model, we investigate the modulation of the estimated critical temperature by the decay exponent σ and coupling cutoff radius R. For the RKKY model, we reproduce diverse ordered states induced by complex competing long-range interactions. A proof-of-principle experiment demonstrates the physical feasibility of our approach. This framework broadens the class of many-body systems accessible to the SPIM platform.
