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We used a novel quantum computing toolbox to simulate slow dynamics in disordered media. Our simulations show universal subdiffusion persists to extremely long timescales, resolving a long-standing debate.

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Area of Science:

  • Quantum computing
  • Condensed matter physics
  • Computational physics

Background:

  • Subdiffusion in nonlinear and disordered media, specifically Gross-Pitaevskii lattices, has been computationally observed with m_{2}∼t^{1/3}.
  • A key unresolved question is whether this subdiffusion is a universal, long-term behavior or if it eventually slows down.
  • Existing computational methods are limited, unable to probe the extremely long timescales relevant to this debate.

Purpose of the Study:

  • To investigate the long-term behavior of wave packet spreading in nonlinear and disordered media.
  • To determine if the observed subdiffusion is a universal phenomenon.
  • To utilize a novel computational toolbox for simulating extremely slow dynamics.

Main Methods:

  • Implementation of a novel unitary map toolbox, originally developed for quantum computing.
  • Application of the toolbox to perform ultrafast computer simulations of slow dynamics.
  • Simulation of wave packet spreading in Gross-Pitaevskii lattices.

Main Results:

  • The study successfully extended computational horizons by four orders of magnitude, reaching times of 2×10^{12}.
  • Universal subdiffusion behavior was observed to persist over these extended timescales.
  • The findings significantly outperform previous computational results in terms of accessible time.

Conclusions:

  • The results strongly suggest that subdiffusion is a universal phenomenon in these systems.
  • The novel toolbox is highly effective for simulating challenging many-body problems.
  • The study provides strong evidence that subdiffusion continues indefinitely, rather than slowing down.