Publications by authors named "Shengjie Zheng"

The visual system provides a valuable model for studying the working mechanisms of sensory processing and high-level consciousness. A significant challenge in this field is the reconstruction of images from decoded neural activity, which could not only test the accuracy of our understanding of the visual system but also provide a practical tool for solving real-world problems. Although recent advances in deep learning have improved the decoding of neural spike trains, little attention has been paid to the underlying mechanisms of the visual system.

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Article Synopsis
  • Topological phases of matter have mainly been studied in solid-state materials and integer-dimensional systems, while non-integer dimensional states, like those found in fractals, remain largely unexplored.
  • Researchers demonstrate fractal higher-order topological states through a Sierpiński acoustic metamaterial, revealing a wealth of topological edge and corner states due to the unique fractal structure.
  • The study indicates that the number of these states grows exponentially with system size and is linked to the Hausdorff fractal dimension, paving the way for future research on topological phenomena in complex geometries.
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Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons, and phonons. Recently, a new family of topological phases, dictated by the bulk polarization, has been observed, leading to the discovery of the higher-order topological insulators (HOTIs). So far, the HOTIs have been demonstrated in mechanical and electromagnetic systems and electrical circuits with quantized quadrupole polarization and, more recently, have been experimentally realized in optical and acoustic systems.

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