通过非线性频率转换合成多维手性管晶格
Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
摘要：
几何维数在离散格的拓扑效应中起着至关重要的作用。虽然直接实验受到三个空间维度的限制，但光子学中通过频率自由度实现的合成维度的研究课题正在迅速推进。这种人工晶格中的光的操纵通常通过电光调制来实现，然而它们的工作带宽对不同频率分量之间的相互作用范围施加了实际限制。在这里，我们建议和实验实现全光学合成尺寸涉及特别定制的同时短和长距离的相互作用离散谱线介导的频率转换在非线性波导。我们在三维空间中实现了三角形手征管晶格，并探讨了它们的四维推广。我们实现了一个合成规范场与非零磁通量，并观察相关的多维动力学的频率梳，所有在一个物理空间端口。我们预计，我们的方法将提供一个新的手段，为高维物理的基础研究，并作为一个重要的一步，使用拓扑效应的光学器件在时域和频域操作。
英文摘要：
Geometrical dimensionality plays a fundamentally important role in the topological effects arising in discrete lattices. While direct experiments are limited by three spatial dimensions, the research topic of synthetic dimensions implemented by the frequency degree of freedom in photonics is rapidly advancing. The manipulation of light in such artificial lattices is typically realized through electro-optic modulation, yet their operating bandwidth imposes practical constraints on the range of interactions between different frequency components. Here we propose and experimentally realize all-optical synthetic dimensions involving specially tailored simultaneous short- and long-range interactions between discrete spectral lines mediated by frequency conversion in a nonlinear waveguide. We realize triangular chiral-tube lattices in three-dimensional space and explore their four-dimensional generalization. We implement a synthetic gauge field with nonzero magnetic flux and observe the associated multidimensional dynamics of frequency combs, all within one physical spatial port. We anticipate that our method will provide a new means for the fundamental study of high-dimensional physics and act as an important step towards using topological effects in optical devices operating in the time and frequency domains.
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