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arXiv · 1710.01373

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

Luqi Yuan·Meng Xiao·Qian Lin·Shanhui Fan
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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.

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Luqi Yuan, Meng Xiao, Qian Lin, Shanhui Fan. 2017-10-03. Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation. https://doi.org/10.1103/physrevb.97.104105

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