Work

Emergent Fracton Hydrodynamics in the Fractional Quantum Hall Regime of Ultracold Atoms

Year: 2024

Type: article

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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.13897004

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

Institutions: Munich Center for Quantum Science and Technology, Technical University of Munich, Washington University in St. Louis

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, European Commission

Awards: G4064808052, G6174341090, Microscopic Theories of Quantum Matter