Quasiperiodicity protects quantized transport in disordered systems without gaps
arXiv:2407.07049 · doi:10.1103/zvng-w46m
Abstract
The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive the addition of bounded local disorder beyond the closing of the relevant instantaneous energy gaps in a driven Aubry-André-Harper chain, a prototypical model of quasiperiodic systems. We explain the robustness using a local picture in \textit{configuration-space} based on Landau-Zener transitions, which rests on the Anderson localisation of the eigenstates. Moreover, we propose a protocol, directly realizable in for instance cold atoms or photonic experiments, which leverages this stability to prepare topological many-body states with high Chern numbers and opens new experimental avenues for the study of both the integer and fractional quantum Hall effects.
12 pages, 8 figures. Updated fig5 with a finer study of the influence of the pumping rate on the quantization of the current. Additional minor edits
References in corpus (40)
- Feshbach Resonances in Ultracold Gases
- Topological Photonics
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Periodic table for topological insulators and superconductors
- Anderson localization of a non-interacting Bose-Einstein condensate
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Topological States and Adiabatic Pumping in Quasicrystals
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological classification of crystalline insulators through band structure combinatorics
- Topological Thouless Pumping of Ultracold Fermions
- Mapping topological order in coordinate space
- Adiabatic Theorem without a Gap Condition
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- Quantum Gases in Optical Boxes
- Thouless pumping and topology
- Matter-wave diffraction from a quasicrystalline optical lattice
- Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
- Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
- Gapless topological phases and symmetry-enriched quantum criticality
- Observing localisation in a 2D quasicrystalline optical lattice
- Quantum criticality of quasi one-dimensional topological Anderson insulators
- Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms
- Quantisation and its breakdown in a Hubbard-Thouless pump
- Correlated dynamics in a synthetic lattice of momentum states
- Interacting atomic quantum fluids on momentum-space lattices
- Enhancing the stability of a fractional Chern insulator against competing phases
- Topology vs. Anderson localization: non-perturbative solutions in one dimension
- Adiabatic theorems for generators of contracting evolutions
- Virtual Topological Insulators with Real Quantized Physics
- Hidden dualities in 1D quasiperiodic lattice models
- Non-Abelian Fractional Chern Insulators from Long-Range Interactions
- Localization, topology and quantized transport in disordered Floquet systems
- Effect of disorder on topological charge pumping in the Rice-Mele model
- Interactions enable Thouless pumping in a nonsliding lattice
- Topologically quantized current in quasiperiodic Thouless pumps
- Hubbard Models for Quasicrystalline Potentials
- Rational Approximations of Quasi-Periodic Problems via Projected Green's Functions
- Localization via Quasi-Periodic Bulk-Bulk Correspondence
- Floquet-Anderson localization in the Thouless pump and how to avoid it
- Absence of disordered Thouless pumps at finite frequency