%0 Journal Article %1 Yuan:16 %A Yuan, Luqi %A Shi, Yu %A Fan, Shanhui %D 2016 %I OSA %J Opt. Lett. %K gauge-fields, modulation, resonators, topo-photonics %N 4 %P 741--744 %R 10.1364/OL.41.000741 %T Photonic gauge potential in a system with a synthetic frequency dimension %U http://ol.osa.org/abstract.cfm?URI=ol-41-4-741 %V 41 %X We generalize the concept of photonic gauge potential in real space by introducing an additional &\#x201C;synthetic&\#x201D; frequency dimension in addition to the real space dimensions. As an illustration, we consider a one-dimensional array of ring resonators, each supporting a set of resonant modes having a frequency comb with spacing &\#x03A9;, and undergoing a refractive index modulation at the modulation frequency equal to &\#x03A9;. We show that the modulation phase provides a gauge potential in the synthetic two-dimensional space with the dimensions being the frequency and the spatial axes. Such a gauge potential can create a topologically protected one-way edge state in the synthetic space that is useful for high-efficiency generation of higher-order side bands.

@article{Yuan:16, abstract = {{We generalize the concept of photonic gauge potential in real space by introducing an additional \&\#x201C;synthetic\&\#x201D; frequency dimension in addition to the real space dimensions. As an illustration, we consider a one-dimensional array of ring resonators, each supporting a set of resonant modes having a frequency comb with spacing \&\#x03A9;, and undergoing a refractive index modulation at the modulation frequency equal to \&\#x03A9;. We show that the modulation phase provides a gauge potential in the synthetic two-dimensional space with the dimensions being the frequency and the spatial axes. Such a gauge potential can create a topologically protected one-way edge state in the synthetic space that is useful for high-efficiency generation of higher-order side bands.}}, added-at = {2019-02-26T15:22:34.000+0100}, author = {Yuan, Luqi and Shi, Yu and Fan, Shanhui}, biburl = {https://www.bibsonomy.org/bibtex/2cd67d3cf78eda42be9d678daa54fdc3e/rspreeuw}, citeulike-article-id = {14588402}, citeulike-linkout-0 = {http://dx.doi.org/10.1364/OL.41.000741}, citeulike-linkout-1 = {http://ol.osa.org/abstract.cfm?URI=ol-41-4-741}, doi = {10.1364/OL.41.000741}, interhash = {d8982faf8b818061f66d79f888ad8894}, intrahash = {cd67d3cf78eda42be9d678daa54fdc3e}, journal = {Opt. Lett.}, keywords = {gauge-fields, modulation, resonators, topo-photonics}, month = feb, number = 4, pages = {741--744}, posted-at = {2018-05-18 08:05:40}, priority = {4}, publisher = {OSA}, timestamp = {2019-02-26T15:22:34.000+0100}, title = {{Photonic gauge potential in a system with a synthetic frequency dimension}}, url = {http://ol.osa.org/abstract.cfm?URI=ol-41-4-741}, volume = 41, year = 2016 }