论文标题
合成频率维度的光子的人工非亚伯晶格量表
Artificial non-Abelian lattice gauge fields for photons in the synthetic frequency dimension
论文作者
论文摘要
非亚洲量规场导致非平凡的拓扑物理学。在这里，我们开发了一种方案，以使用动态调制的环谐振器数组来为合成频率维度中的光子创建一个任意SU（2）晶格量规场。光子极化被视为实现基质值量规场的自旋基础。使用对哈珀·史塔特·哈密顿（Harper-Hofstatter Hamiltonian）的非亚洲概括为特定的例子，我们表明谐振器内部稳态光子振幅的测量可以揭示汉密尔顿人的带状结构，这表明了潜在的非阿贝尔规范场的签名。这些结果提供了探索与光子系统中非亚伯晶格量规场相关的新型拓扑现象的机会。
Non-Abelian gauge fields give rise to nontrivial topological physics. Here we develop a scheme to create an arbitrary SU(2) lattice gauge field for photons in the synthetic frequency dimension using an array of dynamically modulated ring resonators. The photon polarization is taken as the spin basis to implement the matrix-valued gauge fields. Using a non-Abelian generalization of the Harper-Hofstadter Hamiltonian as a specific example, we show that the measurement of the steady-state photon amplitudes inside the resonators can reveal the band structures of the Hamiltonian, which show signatures of the underlying non-Abelian gauge field. These results provide opportunities to explore novel topological phenomena associated with non-Abelian lattice gauge fields in photonic systems.
