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Stark Many-Body Localization in Interacting Infinite Dimensional Systems.

Hristiana Atanasova1, André Erpenbeck2, Emanuel Gull2

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Summary
This summary is machine-generated.

Particle transport in the Fermi-Hubbard model shows normal diffusion at weak electric fields. As the field increases, transport becomes subdiffusive, then superdiffusive, before localization occurs, suppressing current.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Previous studies on 1D analogs revealed Stark many-body localization, hindering diffusion.
  • Understanding particle transport in driven quantum systems is crucial for their technological applications.

Purpose of the Study:

  • Investigate bulk particle transport in a Fermi-Hubbard model on a Bethe lattice under an electric field.
  • Characterize the transition from diffusive to localized transport regimes.
  • Analyze the impact of electric field strength and interaction strength on transport dynamics.

Main Methods:

  • Utilized a combination of numerically exact and approximate techniques.
  • Studied systems initially prepared in a spin density wave state.
  • Analyzed the decay of the wave's momentum component over time.

Main Results:

  • For weak electric fields, normal diffusion was observed, with momentum decaying exponentially.
  • A nonmonotonic dependence of the dynamical exponent on electric field strength was found.
  • Transport transitioned from subdiffusive to superdiffusive as the electric field increased, eventually leading to localization.

Conclusions:

  • The Fermi-Hubbard model on a Bethe lattice exhibits complex transport behavior under an electric field.
  • The interplay between electric field and interaction strength dictates the transport regime.
  • Stark many-body localization can suppress current in these driven quantum systems.