Realizing and detecting a topological insulator in the AIII symmetry class

Abstract

Topological insulators in the AIII symmetry class lack experimental realization. Moreover, fractionalization in one-dimensional topological insulators has not been yet directly observed. Our work might open possibilities for both challenges. We propose a one-dimensional model realizing the AIII symmetry class which can be realized in current experiments with ultracold atomic gases. We further report on a distinctive property of topological edge modes in the AIII class: in contrast to those in the well studied BDI class, they have non-zero momentum. Exploiting this feature we propose a path for the detection of fractionalization. A fermion added to an AIII system splits into two halves localized at opposite momenta, which can be detected by imaging the momentum distribution.

Extended version, including unpublished material regarding quench dynamics and interference of fractionalized quasiparticles: 27 pages, 26 fgures

References in corpus (12)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological Defects and Gapless Modes in Insulators and Superconductors
• 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
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Direct imaging of topological edge states in cold-atom systems
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Identifying topological edge states in 2D optical lattices using light scattering
• The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime

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• Topological pumping in a Floquet-Bloch band
• Topological Anderson insulating phases in the long-range Su-Schrieffer-Heeger model
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Berry Phase Estimation in Gate-Based Adiabatic Quantum Simulation
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
• Nonsymmorphic chiral symmetry and solitons in the Rice-Mele model
• One-dimensional non-interacting topological insulators with chiral symmetry
• Topological Devil's staircase in atomic two-leg ladders
• Zeros of Green Functions in Topological Insulators
• Revealing the spatial nature of sublattice symmetry
• Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
• The One-dimensional Chiral Anomaly and its Disorder Response
• Probing entanglement dynamics and topological transitions on noisy intermediate-scale quantum computers
• Kibble-Zurek mechanism and errors of gapped quantum phases
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models