In this paper, the synthetic space with frequency dimension is generated by the ring resonant system, and the Lieb-type lattice is constructed by designing the appropriate resonant frequency interval and the modulation frequency of the electro-optic modulator (EOM). The phase difference between the adjacent resonant frequencies is properly chosen, so that an effective magnetic flux for photons are created in the synthetic Lieb lattice. The bandstructure of Lieb lattice contains a flatband, which leads to the localization of the light. Nevertheless, the effective magnetic flux separates the flatband from the dispersive bands in the bandstructure of synthetic Lieb-type lattice, which thus results in a localization effect robust to small perturbations. In this paper, the localization effect of the light (see figure 1(a)-(c)) as well as the propagation control of wavepacket of photons (see figure 1 (d)-(i)) are simulated.

Figure 1. (a)-(c) Simulation of localization effect. (d)-(i) Simulation result of the manipulation of the wavepacket.

The paper has been published in Laser & Photonics Reviews with the title "Isolated Photonic Flatband with the Effective Magnetic Flux in a Synthetic Space Including the Frequency Dimension".

link: https://onlinelibrary.wiley.com/doi/full/10.1002/lpor.202000041