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Experimental band structure spectroscopy along a synthetic dimension

Author

Listed:
  • Avik Dutt

    (Stanford University)

  • Momchil Minkov

    (Stanford University)

  • Qian Lin

    (Stanford University)

  • Luqi Yuan

    (Shanghai Jiao Tong University)

  • David A. B. Miller

    (Stanford University)

  • Shanhui Fan

    (Stanford University)

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 its mode spacing, we create a periodically driven lattice of coupled modes in the frequency dimension. The strength and range of couplings can be dynamically reconfigured by changing the modulation amplitude and frequency. We show theoretically and demonstrate experimentally that time-resolved transmission measurements of this system provide a direct readout of its band structure. We also realize long-range coupling, gauge potentials and nonreciprocal bands by simply incorporating additional frequency drives, enabling great flexibility in band structure engineering.

Suggested Citation

  • Avik Dutt & Momchil Minkov & Qian Lin & Luqi Yuan & David A. B. Miller & Shanhui Fan, 2019. "Experimental band structure spectroscopy along a synthetic dimension," Nature Communications, Nature, vol. 10(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-11117-9
    DOI: 10.1038/s41467-019-11117-9
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    Cited by:

    1. Yaowen Hu & Mengjie Yu & Neil Sinclair & Di Zhu & Rebecca Cheng & Cheng Wang & Marko Lončar, 2022. "Mirror-induced reflection in the frequency domain," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    2. Yoonseok Hwang & Jun-Won Rhim & Bohm-Jung Yang, 2021. "Geometric characterization of anomalous Landau levels of isolated flat bands," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    3. Zhaohui Dong & Xiaoxiong Wu & Yiwen Yang & Penghong Yu & Xianfeng Chen & Luqi Yuan, 2024. "Temporal multilayer structures in discrete physical systems towards arbitrary-dimensional non-Abelian Aharonov-Bohm interferences," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    4. Shulin Wang & Chengzhi Qin & Weiwei Liu & Bing Wang & Feng Zhou & Han Ye & Lange Zhao & Jianji Dong & Xinliang Zhang & Stefano Longhi & Peixiang Lu, 2022. "High-order dynamic localization and tunable temporal cloaking in ac-electric-field driven synthetic lattices," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    5. Avik Dutt & Luqi Yuan & Ki Youl Yang & Kai Wang & Siddharth Buddhiraju & Jelena Vučković & Shanhui Fan, 2022. "Creating boundaries along a synthetic frequency dimension," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    6. Mu Yang & Hao-Qing Zhang & Yu-Wei Liao & Zheng-Hao Liu & Zheng-Wei Zhou & Xing-Xiang Zhou & Jin-Shi Xu & Yong-Jian Han & Chuan-Feng Li & Guang-Can Guo, 2022. "Topological band structure via twisted photons in a degenerate cavity," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

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