Emergent Fracton Hydrodynamics in the Fractional Quantum Hall Regime of Ultracold Atoms
- URL: http://arxiv.org/abs/2410.07326v1
- Date: Wed, 9 Oct 2024 18:00:02 GMT
- Title: Emergent Fracton Hydrodynamics in the Fractional Quantum Hall Regime of Ultracold Atoms
- Authors: Caterina Zerba, Alexander Seidel, Frank Pollmann, Michael Knap,
- Abstract summary: We show that in the lowest Landau level the system generically relaxes subdiffusively.
The slow relaxation is understood from emergent conservation laws of the total charge.
We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics.
- Score: 41.94295877935867
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in their non-equilibrium quantum dynamics. We show that in the lowest Landau level the system generically relaxes subdiffusively. The slow relaxation is understood from emergent conservation laws of the total charge and the associated dipole moment that arise from the effective Hamiltonian projected onto the lowest Landau level, leading to subdiffusive fracton hydrodynamics. We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics.
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