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arXiv 2401.08055physics.optics
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一种用于经典XY模型的可编程与可重构光子模拟器

A Programmable and Reconfigurable Photonic Simulator for Classical XY Models

Jiayi Ouyang, Yuxuan Liao, Xue Feng, Yongzhuo Li, Kaiyu Cui, Fang Liu, Hao Sun, Wei Zhang, Yidong Huang

AI总结:

提出一种基于可编程光学向量-矩阵乘法系统的XY模型光子模拟器,通过光场相位编码自旋并在光强上执行哈密顿量,成功演示了二维XY模型相变与25自旋基态搜索。

摘要:

在本工作中,我们提出并实验演示了一种用于XY模型的光子模拟器,XY模型是一种典型的经典自旋模型。通过将XY自旋编码在输入光场的相位项上,相应的XY哈密顿量可以在输出光强上执行。该模拟器主要基于一个可编程和可重构的光学向量-矩阵乘法系统,能够在维度限制内映射任意XY模型。在这里,我们演示了二维XY模型中的Berezinskii-Kosterlitz-Thouless相变,其中计算了一些可观测量的期望值,并与理论一致。此外,我们执行了两个具有不同自旋连接和耦合强度的25自旋XY模型的基态搜索。我们的提议为研究XY自旋系统开辟了一条新途径。

英文摘要:

In this work, we proposed and experimentally demonstrated a photonic simulator for XY models, which is a typical kind of classical spin models. By encoding the XY spins on the phase term of the input light field, the corresponding XY Hamiltonian could be performed on the output light intensities. The simulator is mainly based on a programmable and reconfigurable optical vector-matrix multiplication system, which can map arbitrary XY models within the dimensionality limit. Here, we demonstrated the Berezinskii-Kosterlitz-Thouless transition in a two-dimensional XY model, in which the expectation values of some observables are calculated and consistent with the theory. Besides, we performed the ground state search of two 25-spin XY models with different spin connections and coupling strengths. Our proposal paves a new way to investigate the XY spin system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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