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Superdiffusion in One-Dimensional Quantum Lattice Models.

Enej Ilievski1, Jacopo De Nardis2, Marko Medenjak3

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Summary
This summary is machine-generated.

This study reveals one-dimensional lattice models exhibiting enhanced spin and charge diffusion. Certain models show superdiffusive transport of Noether charges at finite temperatures.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Statistical Mechanics

Background:

  • Understanding transport properties in low-dimensional quantum systems is crucial.
  • Strongly correlated models often exhibit complex dynamics.

Purpose of the Study:

  • To identify and characterize one-dimensional lattice models with diverging spin and charge diffusion constants.
  • To investigate superdiffusive transport phenomena in these models.

Main Methods:

  • Utilized hydrodynamic transport theory.
  • Derived analytic lower bounds for diffusion constants.
  • Calculated Drude weights and their curvature at half-filling.

Main Results:

  • Identified a class of 1D spin and fermionic models with diverging diffusion constants.
  • Included paradigmatic models like Heisenberg chains and Fermi-Hubbard models.
  • Demonstrated superdiffusive transport of Noether charges in specific isotropic models at finite temperature and half-filling.

Conclusions:

  • The findings provide new insights into transport mechanisms in strongly correlated quantum systems.
  • Highlights the existence of superdiffusion in exactly solvable models.
  • Suggests a broader applicability of hydrodynamic theories to quantum transport.