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Quantum Simulation

Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels

arXiv
Authors: Caterina Zerba, Alexander Seidel, Frank Pollmann, Michael Knap

Year

2024

Paper ID

38304

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.07326 [2] arXiv https://arxiv.org/abs/2410.07326 [3] Publisher https://arxiv.org/abs/2410.07326

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