Efficient manipulation of quantum states is a key step towards applications in quantum information, quantum metrology, and nonlinear optics. In this paper, the authors show that 1D atomic arrays in a periodic magnetic field can realize an effective 2D Hofstadter-butterfly-like model with synthetic dimensions exhibiting super- and sub-radiant topological edge states despite featuring long-range interactions.
- Anwei Zhang
- Luojia Wang
- Luqi Yuan
