English

Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation

Optics 2018-03-20 v1

Abstract

We show that a single ring resonator undergoing dynamic modulation can be used to create a synthetic space with an arbitrary dimension. In such a system the phases of the modulation can be used to create a photonic gauge potential in high dimensions. As an illustration of the implication of this concept, we show that the Haldane model, which exhibits non-trivial topology in two dimensions, can be implemented in the synthetic space using three rings. Our results point to a route towards exploring higher-dimensional topological physics in low-dimensional physical structures. The dynamics of photons in such synthetic spaces also provides a mechanism to control the spectrum of light.

Keywords

Cite

@article{arxiv.1710.01373,
  title  = {Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation},
  author = {Luqi Yuan and Meng Xiao and Qian Lin and Shanhui Fan},
  journal= {arXiv preprint arXiv:1710.01373},
  year   = {2018}
}
R2 v1 2026-06-22T22:02:56.958Z