Creating high-dimensional topological physics using a single ring resonator

article Creating high-dimensional topological physics using a single ring resonator published yes Dali Cheng author Heming Wang author Charles Roques-Carmes author e2e68fc9-6505-11ef-a541-eb4e72cc3e82 Janet Zhong author Shanhui Fan author The property of a physical system is highly dependent on its dimensionality. Topological physics in three or more dimensions exhibits rich phenomena without lower-dimensional counterparts. In this paper, the authors propose a scheme to implement such high-dimensional topological physics in a single photonic ring resonator, where the model of interest can be arbitrarily high dimensional and arbitrarily multi-band. The frequency modes in the resonator, coupled via electro-optic modulation, are used to create a high-dimensional lattice, and the spatial modes are used as the pseudo-spin degree of freedom within each lattice site. The band structure of the model can be measured from the transmission spectrum of the ring resonator. The authors numerically demonstrate as examples a three-dimensional, two-band model and a five-dimensional, four-band model. This paper establishes a versatile and programmable platform for high-dimensional topological physics, paving the way for its experimental studies and future applications. Elsevier2025 eng Newton 2950-6360 2208.0236810.1016/j.newton.2025.100163 17 yes Cheng D, Wang H, Roques-Carmes C, Zhong J, Fan S. Creating high-dimensional topological physics using a single ring resonator. Newton. 2025;1(7). doi:<a href="https://doi.org/10.1016/j.newton.2025.100163">10.1016/j.newton.2025.100163</a> D. Cheng, H. Wang, C. Roques-Carmes, J. Zhong, S. Fan, Newton 1 (2025). Cheng, Dali, et al. “Creating High-Dimensional Topological Physics Using a Single Ring Resonator.” Newton, vol. 1, no. 7, 100163, Elsevier, 2025, doi:<a href="https://doi.org/10.1016/j.newton.2025.100163">10.1016/j.newton.2025.100163</a>. Cheng, D., Wang, H., Roques-Carmes, C., Zhong, J., & Fan, S. (2025). Creating high-dimensional topological physics using a single ring resonator. Newton. Elsevier. <a href="https://doi.org/10.1016/j.newton.2025.100163">https://doi.org/10.1016/j.newton.2025.100163</a> Cheng, Dali, Heming Wang, Charles Roques-Carmes, Janet Zhong, and Shanhui Fan. “Creating High-Dimensional Topological Physics Using a Single Ring Resonator.” Newton. Elsevier, 2025. <a href="https://doi.org/10.1016/j.newton.2025.100163">https://doi.org/10.1016/j.newton.2025.100163</a>. Cheng D, Wang H, Roques-Carmes C, Zhong J, Fan S. 2025. Creating high-dimensional topological physics using a single ring resonator. Newton. 1(7), 100163. D. Cheng, H. Wang, C. Roques-Carmes, J. Zhong, and S. Fan, “Creating high-dimensional topological physics using a single ring resonator,” Newton, vol. 1, no. 7. Elsevier, 2025. 215152026-03-30T12:22:47Z2026-04-27T08:44:19Z