Quantum transport in fractal networks | Semantic Scholar (2024)

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@article{Xu2021QuantumTI, title={Quantum transport in fractal networks}, author={Xiao-Yun Xu and Xiao-Wei Wang and Dan-yang Chen and C. Morais Smith and Xian-min Jin}, journal={Nature Photonics}, year={2021}, volume={15}, pages={703 - 710}, url={https://api.semanticscholar.org/CorpusID:237689054}}
  • Xiao-Yun Xu, Xiao-Wei Wang, Xian-min Jin
  • Published in Nature Photonics 19 July 2021
  • Physics

Fractals are fascinating, not only for their aesthetic appeal but also for allowing the investigation of physical properties in non-integer dimensions. In these unconventional systems, many intrinsic features might come into play, including the fractal dimension and the fractal geometry. Despite abundant theoretical studies, experiments in fractal networks remain elusive. Here we experimentally investigate quantum transport in fractal networks by performing continuous-time quantum walks in…

73 Citations

Background Citations

15

Methods Citations

7

73 Citations

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We investigate the transport and entanglement properties exhibited by quantum walks with coin operators concatenated in a space-time fractal structure. Inspired by recent developments in photonics,

Anomalous quantum transport in fractal lattices
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Fractal lattices are self-similar structures with repeated patterns on different scales. Quantum transport through such structures is subtle due to the possible co-existence of localized and extended

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Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological

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Quantum matter with fractal geometry has been recently realized in experiments. Fundamentally distinctive properties in such new type of matter, e.g., the fractional spatial dimension between 1D and

Direct observation of quantum percolation dynamics
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Abstract Percolation, describing critical behaviors of phase transition in a geometrical context, prompts wide investigations in natural and social networks as a fundamental model. The introduction

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The nature of the famed long-range entanglement as revealed in topologically ordered state is the paradoxical coexistence of short-range correlation and nonlocal information that cannot be re-moved

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The spin Chern topological phases are more natural in solid-state systems and are thought to exist in two or three dimensions. To date, there is no evidence for the existence of spin Chern

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The essence of the famed long-range entanglement as revealed in topologically ordered state is the paradoxical coexistence of short-range correlation and nonlocal information that cannot be removed

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Quantum matter with fractal geometry has been recently observed and studied in experiments. The fractal self-similarity and the fractional nature of the spatial dimension in such systems suggest

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Fractal systems are now considered alternative routes for engineering physical properties on the nanoscale. In particular, stable annular quantum corrals have been demonstrated in distinct synthesis

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