MATHEMATICAL SCIENCES

The Sun Yat-sen University team has made important progress in the research of topological photonic crystals


Recently, the team of Professor Dong Jianwen, School of Physics and State Key Laboratory of Optoelectronic Materials and Technology, Sun Yat-sen University, has made important progress in the research of topological photonic crystals, and they have proposed a method to realize the second Chen crystal in a four-dimensional synthetic space jointly constructed by two-dimensional momentum space and two-dimensional translational parametric space. The related research paper was published online in National Science Review.

Through two-dimensional synthetic translational dimension, a new method for photonic crystal mode field design is proposed, and the intrinsic topological properties between the mode fields are discovered. Photo courtesy of the research team

“This second Chen crystal has intrinsic non-trivial topological properties, does not depend on lattice type and protocell structure parameters, and can obtain topological boundary modes, topological angle modes and topological dislocation modes in lower dimensions through dimensionality reduction.” Chen Xiaodong said that this method not only brings a new perspective to the design of topological photonic crystals, but also can be generalized to the design of on-chip silicon-based microphotonic crystals of any lattice type, providing a universal scheme for designing topological devices in classical wave systems.

According to reports, by re-examining the existing work in a higher-dimensional space, Dong Jianwen’s team found that in the past, people were accustomed to realizing and discussing topological photonic crystals in momentum space, but the dimension of momentum space was generally consistent with the dimension of real space, which greatly hindered people’s exploration of topological patterns in high-latitude space. Inspired by synthetic-dimensional physics and the four-dimensional quantum Hall effect, the team constructed a second Chen crystal in four-dimensional space by introducing two additional synthetic translational dimensions and combining the two momentum dimensions.

This study focuses on the frontier of topological photonics and proposes a high-dimensional topological photonic crystal in the synthetic translational parameter space, whose intrinsic non-trivial topological properties broaden the optional lattice range of topological photonic crystals, while the local mode in the low dimension also provides a universal design scheme for topological optical microcavities.

The research was co-authored by Associate Professor Chen Xiaodong, Professor Chen Wenjie and Dong Jianwen of the School of Physics of Sun Yat-sen University, and Professor Chen Ziting of the Hong Kong University of Science and Technology also made important contributions to the work. (Source: China Science News Zhu Hanbin)

Related paper information:https://doi.org/10.1093/nsr/nwac289



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