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Stark Many-Body Localization in Interacting Infinite Dimensional Systems
Hristiana Atanasova1, André Erpenbeck2, Emanuel Gull2
1School of Chemistry, Tel Aviv University, Tel Aviv 6997801, Israel.
Physical Review Letters
|May 3, 2024
Summary
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.
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.
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