# Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices.

@article{Ozawa2017SyntheticDW, title={Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices.}, author={Tomoki Ozawa and Iacopo Carusotto}, journal={Physical review letters}, year={2017}, volume={118 1}, pages={ 013601 } }

We discuss how one can realize a photonic device that combines synthetic dimensions and synthetic magnetic fields with spatially local interactions. Using an array of ring cavities, the angular coordinate around each cavity spans the synthetic dimension. The synthetic magnetic field arises as the intercavity photon hopping is associated with a change of angular momentum. Photon-photon interactions are local in the periodic angular coordinate around each cavity. Experimentally observable… Expand

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