2019
DOI: 10.1038/s41467-019-11117-9
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Experimental band structure spectroscopy along a synthetic dimension

Abstract: There has been significant recent interest in synthetic dimensions, where internal degrees of freedom of a particle are coupled to form higher-dimensional lattices in lower-dimensional physical structures. For these systems, the concept of band structure along the synthetic dimension plays a central role in their theoretical description. Here we provide a direct experimental measurement of the band structure along the synthetic dimension. By dynamically modulating a resonator at frequencies commensurate with i… Show more

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Cited by 124 publications
(142 citation statements)
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“…[38]. The synthetic dimension can be constructed in the rings by using electro-optic modulators [61,62] modulating the refractive index. To match the modulation rate to the spacing between adjacent modes of the ring, the ring radius can be about 200 μm for a modulation rate of 80 GHz, which is accessible with current technology [61].…”
Section: Figmentioning
confidence: 99%
“…[38]. The synthetic dimension can be constructed in the rings by using electro-optic modulators [61,62] modulating the refractive index. To match the modulation rate to the spacing between adjacent modes of the ring, the ring radius can be about 200 μm for a modulation rate of 80 GHz, which is accessible with current technology [61].…”
Section: Figmentioning
confidence: 99%
“…The first photonic topological insulator in a synthetic dimension was demonstrated using an array of multimode waveguides, where modulation of the refractive index along the waveguide axis played the role of the dynamic modulation [129]. The dynamically modulated resonator has also been implemented in the fibre-based ring experiments incorporating commercial electro-optic modulators [130,131], where band structures associated with one-dimensional synthetic lattices along the frequency axis of light have been measured [132]. Based on this experimental set-up, one can use the clockwise/ counterclockwise modes of a single ring as another degree of freedom to construct a synthetic Hall ladder with two independent physical synthetic dimensions, as shown in Figure 6 [128].…”
Section: Topology Of Dynamically Modulated Resonatorsmentioning
confidence: 99%
“…However, these systems are extremely difficult to scale and reconfigure. Synthetic dimensions provide a promising alternative approach for photonic quantum simulations in a scalable and resource efficient way without requiring complex photonic circuits [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. One powerful technique to implement a synthetic space is through time-multiplexing [19][20][21][22][23][24], which can scale to a higher number of dimensions efficiently.…”
mentioning
confidence: 99%