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Quantum Diffusion in a Photonic Fibonacci Chain: From Localization to Ballistic Dynamics.

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Researchers experimentally characterized quantum transport in a Fibonacci chain, revealing diverse behaviors from localization to ballistic transport. This breakthrough resolves long-predicted multifractal spectra and hyperuniform order in quasicrystals.

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Area of Science:

  • Condensed matter physics
  • Quantum physics
  • Materials science

Background:

  • Quantum transport is crucial but experimentally difficult.
  • Quasicrystals, like the Fibonacci chain, exhibit unique properties.
  • Understanding transport in disordered systems is key.

Purpose of the Study:

  • To experimentally characterize the full spectrum of quantum transport behaviors in a 1D Fibonacci chain.
  • To resolve predicted multifractal spectra and hyperuniform order.
  • To establish a platform for exploring quasiperiodicity and quantum transport.

Main Methods:

  • Utilized a tunable photonic quantum-walk platform.
  • Analyzed distinct power-law scalings of mean square displacement.
  • Examined smooth autocorrelation functions and oscillatory dynamical structures.

Main Results:

  • Achieved the first complete experimental characterization of quantum transport in a Fibonacci chain.
  • Resolved regimes including localization, subdiffusion, normal diffusion, superdiffusion, and ballistic transport.
  • Observed signatures linked to intrinsic multifractal spectra and hyperuniform order.

Conclusions:

  • The study successfully mapped a comprehensive quantum transport regime diagram for Fibonacci quasicrystals.
  • The photonic quantum-walk platform offers a versatile framework for studying quasiperiodicity and emergent quantum phenomena.
  • Experimental resolution of multifractal spectra and hyperuniform order in quasicrystals is now possible.