Simulating graphene dynamics in synthetic space with photonic rings

Yu, Du; Li, Guangzhen; Xiao, Meng; Wang, Da-Wei; Wan, Yong; Yuan, Luqi; Chen, Xianfeng

doi:10.1038/s42005-021-00719-9

Cited by 6 publications

(1 citation statement)

References 71 publications

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“…The main advantage of this method is to extract the topological invariant directly from the bulk band structures. With appropriate designs, the spin or valley degree of freedom is possible to be included in models in the synthetic frequency dimension 37 , 38 , and hence the corresponding topological invariant may also be directly captured. Our work provides the evidence of directly reading the topological phase from the bulk band structure and paves a new route to explore topological phases in higher-dimensional topological materials 51 , 73 – 75 .…”

Section: Discussionmentioning

confidence: 99%

Direct extraction of topological Zak phase with the synthetic dimension

Wang

Rui

et al. 2023

Light Sci Appl

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Measuring topological invariants is an essential task in characterizing topological phases of matter. They are usually obtained from the number of edge states due to the bulk-edge correspondence or from interference since they are integrals of the geometric phases in the energy band. It is commonly believed that the bulk band structures could not be directly used to obtain the topological invariants. Here, we implement the experimental extraction of Zak phase from the bulk band structures of a Su-Schrieffer-Heeger (SSH) model in the synthetic frequency dimension. Such synthetic SSH lattices are constructed in the frequency axis of light, by controlling the coupling strengths between the symmetric and antisymmetric supermodes of two bichromatically driven rings. We measure the transmission spectra and obtain the projection of the time-resolved band structure on lattice sites, where a strong contrast between the non-trivial and trivial topological phases is observed. The topological Zak phase is naturally encoded in the bulk band structures of the synthetic SSH lattices, which can hence be experimentally extracted from the transmission spectra in a fiber-based modulated ring platform using a laser with telecom wavelength. Our method of extracting topological phases from the bulk band structure can be further extended to characterize topological invariants in higher dimensions, while the exhibited trivial and non-trivial transmission spectra from the topological transition may find future applications in optical communications.

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Section: Discussionmentioning

confidence: 99%

Direct extraction of topological Zak phase with the synthetic dimension

Wang

Rui

et al. 2023

Light Sci Appl

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Integrated Electro‐Optic Frequency Combs: Theory and Current Progress

Zhang,

Yin,

Zhang

et al. 2024

Laser & Photonics Reviews

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Optical frequency combs (OFCs) have evolved into one of the most active areas of photonics, underpinning advancements in both fundamental science and commercial contexts. Electro‐optic modulation for OFC generation offers excellent versatility, stability, and phase coherence. With the rapid progress in micro‐nano fabrication techniques, electro‐optic frequency combs (EOFCs) have been realized on many integrated platforms, including silicon on insulator (SOI), indium phosphide (InP), and lithium niobate on insulator (LNOI). These compact, low‐cost, and energy‐efficient EOFCs support a wide range of applications. In this study, we review the theory for the generation of integrated EOFCs, summarize the demonstrations on the main integrated platforms, present applications, and envision the development directions of integrated EOFCs in view of materials, devices, and applications.

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Mirror-induced reflection in the frequency domain

Sinclair

et al. 2022

Nat Commun

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Mirrors are ubiquitous in optics and are used to control the propagation of optical signals in space. Here we propose and demonstrate frequency domain mirrors that provide reflections of the optical energy in a frequency synthetic dimension, using electro-optic modulation. First, we theoretically explore the concept of frequency mirrors with the investigation of propagation loss, and reflectivity in the frequency domain. Next, we explore the mirror formed through polarization mode-splitting in a thin-film lithium niobate micro-resonator. By exciting the Bloch waves of the synthetic frequency crystal with different wave vectors, we show various states formed by the interference between forward propagating and reflected waves. Finally, we expand on this idea, and generate tunable frequency mirrors as well as demonstrate trapped states formed by these mirrors using coupled lithium niobate micro-resonators. The ability to control the flow of light in the frequency domain could enable a wide range of applications, including the study of random walks, boson sampling, frequency comb sources, optical computation, and topological photonics. Furthermore, demonstration of optical elements such as cavities, lasers, and photonic crystals in the frequency domain, may be possible.

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Simulating graphene dynamics in synthetic space with photonic rings

Cited by 6 publications

References 71 publications

Direct extraction of topological Zak phase with the synthetic dimension

Direct extraction of topological Zak phase with the synthetic dimension

Integrated Electro‐Optic Frequency Combs: Theory and Current Progress

Mirror-induced reflection in the frequency domain

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