Anomalous topological edge modes in a periodically-driven trimer lattice

Abstract

Periodically driven systems have a longstanding reputation for establishing rich topological phenomena beyond their static counterpart. In this work, we propose and investigate a periodically driven extended Su-Schrieffer-Heeger model with three sites per unit cell, obtained by replacing the Pauli matrices with their $3\times 3$ counterparts. The system is found to support a number of edge modes over a range of parameter windows, some of which have no static counterparts. Among these edge modes, of particular interest are those which are pinned at a specific quasienergy value. Such quasienergy-fixed edge modes arise due to the interplay between topology and chiral symmetry, which are typically not expected in a three-band static model due to the presence of a bulk band at the only chiral-symmetric energy value, i.e., zero. In our time-periodic setting, another chiral-symmetric quasienergy value exists at half the driving frequency, which is not occupied by a bulk band and could then host chiral-symmetry-protected edge modes ($\pi$ modes). Finally, we verify the robustness of all edge modes against spatial disorder and briefly discuss the prospect of realizing our system in experiments.

Published Version (17 pages and 15 figures)

References in corpus (77)

• Photonic Floquet Topological Insulators
• Quantized Electric Multipole Insulators
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Light-induced anomalous Hall effect in graphene
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Floquet topological insulators
• Periodic Table for Floquet Topological Insulators
• Topological photonic crystals: physics, designs and applications
• Realization of an anomalous Floquet topological system with ultracold atoms
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
• Topology and Broken Symmetry in Floquet Systems
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Tailoring quantum gases by Floquet engineering
• Floquet topological transitions in a driven one-dimensional topological insulator
• Observation of anomalous π modes in photonic Floquet engineering
• Topological characterization of chiral models through their long time dynamics
• Robust quantum state transfer via topological edge states in superconducting qubit chains
• Edge states in trimer lattices
• Observation of topological magnon insulator states in a superconducting circuit
• Coupled-wire construction of static and Floquet second-order topological insulators
• Enhancement and sign change of magnetic correlations in a driven quantum many-body system
• Identifying Quantum Phase Transitions with Adversarial Neural Networks
• Floquet Topological Phases of Non-Hermitian Systems
• Observation of a symmetry-protected topological time crystal with superconducting qubits
• Simulation of non-Abelian braiding in Majorana time crystals
• Floquet topological phases with symmetry in all dimensions
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Su-Schrieffer-Heeger Model Inspired Acoustic Interface States and Edge States
• Realization of Anomalous Floquet Insulators in Strongly-Coupled Nanophotonic Lattices
• Coherent control of quantum topological states of light in Fock-state lattices
• Floquet topological semimetal phases of an extended kicked Harper model
• Nonlinearity induced topological physics in momentum space and real space
• Floquet topological phases in a spin-1/2 double kicked rotor
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Measurement-only quantum computation with Majorana corner modes
• Quantum computation via Floquet topological edge modes
• Stability of topological edge states under strong nonlinear effects
• General description for nonequilibrium steady states in periodically driven dissipative quantum systems
• Observation of pi/2 modes in an acoustic Floquet system
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Tuning anomalous Floquet topological bands with ultracold atoms
• Topological lattices realized in superconducting circuit optomechanics
• Floquet multi-gap topology: Non-Abelian braiding and anomalous Dirac string phase
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• Driving protocol for a Floquet topological phase without static counterpart
• Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Direct prediction of corner state configurations from edge winding numbers in 2D and 3D chiral-symmetric lattice systems
• Floquet topological phase transitions in a periodically quenched dimer
• Floquet engineering to exotic topological phases in systems of cold atoms
• Stabilizing multiple topological fermions on a quantum computer
• State-recycling and time-resolved imaging in topological photonic lattices
• Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
• Programmable high-dimensional Hamiltonian in a photonic waveguide array
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Winding number and Zak phase in multi-band SSH models
• Square-root Floquet topological phases and time crystals
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Analytical solution of open crystalline linear 1D tight-binding models
• Topological States in Dimerized Quantum-Dot Chains Created by Atom Manipulation
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Photonic Realization of a Transition Between Topological Phases Residing in the Weak and Strong Floquet Driving Regimes
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Bulk-boundary correspondence in extended trimer Su-Schrieffer-Heeger model
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Majorana zero modes in spintronics devices
• Topological and dynamical features of periodically driven spin ladders
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Extended unitarity and absence of skin effect in periodically driven systems
• Extrapolation of polaron properties to low phonon frequencies by Bayesian machine learning
• Quantum dot coupled to topological insulators: The role of edge states

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