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.
arXiv comment12 pages, 7 figures. Published version
References in corpus (61)
- Experimental realisation of the topological Haldane model
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Synthetic magnetic fields for ultracold neutral atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Tunable gauge potential for neutral and spinless particles in driven lattices
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Localization from Hilbert space shattering: from theory to physical realizations
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Fractional quantum Hall states of atoms in optical Lattices
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Microscopy of the interacting Harper-Hofstadter model in the few-body limit
- Fractional Quantum Hall Effect in Optical Lattices
- Fracton hydrodynamics
- Observation of Laughlin states made of light
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Statistical localization: from strong fragmentation to strong edge modes
- Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
- Realization of a fractional quantum Hall state with ultracold atoms
- Incompressible Quantum Liquids and New Conservation Laws
- Quantum Hall system in Tao-Thouless limit
- Kinetically constrained freezing transition in a dipole-conserving system
- Laughlin State on Stretched and Squeezed Cylinders and Edge Excitations in Quantum Hall Effect
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Half-Filled Lowest Landau Level on a Thin Torus
- Hydrodynamic long-time tails after a quantum quench
- Quantum Many-body Scars in a Landau Level on a Thin Torus
- One-Dimensional Theory of the Quantum Hall System
- The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models
- Crystallization of Bosonic Quantum Hall States
- Geometric squeezing into the lowest Landau level
- Exactly Solvable Fermion Chain Describing a Fractional Quantum Hall State
- Realization of fractional quantum Hall state with interacting photons
- Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
- Geometric quench and nonequilibrium dynamics of fractional quantum Hall states
- Dipole condensates in tilted Bose-Hubbard chains
- Perturbative Approach to Flat Chern Bands in the Hofstadter Model
- Repulsive Interactions in Quantum Hall Systems as a Pairing Problem
- Exact Solutions of Fractional Chern Insulators: Interacting Particles in the Hofstadter Model at Finite Size
- Emergence of fluctuating hydrodynamics in chaotic quantum systems
- Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions
- 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
- Dynamics and level statistics of interacting fermions in the Lowest Landau Level
- Geometric squeezing of rotating quantum gases into the lowest Landau level
- Dynamical Spectral Response of Fractonic Quantum Matter