Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
arXiv:2410.07326 · doi:10.1103/PRXQuantum.6.020321
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.
12 pages, 7 figures. Published version
References in corpus (31)
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Tunable gauge potential for neutral and spinless particles in driven lattices
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Fractional Quantum Hall Effect in Optical Lattices
- Fracton hydrodynamics
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Realization of a fractional quantum Hall state with ultracold atoms
- Quantum Hall system in Tao-Thouless limit
- Kinetically constrained freezing transition in a dipole-conserving system
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Half-Filled Lowest Landau Level on a Thin Torus
- One-Dimensional Theory of the Quantum Hall System
- Crystallization of Bosonic Quantum Hall States
- Realization of fractional quantum Hall state with interacting photons
- Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
- Perturbative Approach to Flat Chern Bands in the Hofstadter Model
- Dipole condensates in tilted Bose-Hubbard chains
- Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions
- Exact Solutions of Fractional Chern Insulators: Interacting Particles in the Hofstadter Model at Finite Size
- Emergence of fluctuating hydrodynamics in chaotic quantum systems
- Full Counting Statistics of Charge in Chaotic Many-body Quantum Systems
- Quench dynamics of collective modes in fractional quantum Hall bilayers
- Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
- Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
- Hierarchical hydrodynamics in long-range multipole-conserving systems
- Observation of chiral edge transport in a rapidly-rotating quantum gas
- Universality classes of thermalization for mesoscopic Floquet systems
- Low-complexity eigenstates of a fractional quantum Hall system
- Geometric squeezing of rotating quantum gases into the lowest Landau level
- Dynamical Spectral Response of Fractonic Quantum Matter