Topological edge states in periodically-driven trapped-ion chains
arXiv:1706.04136 · doi:10.1103/PhysRevLett.119.210401
Abstract
Topological insulating phases are primarily associated with condensed-matter systems, which typically feature short-range interactions. Nevertheless, many realizations of quantum matter can exhibit long-range interactions, and it is still largely unknown the effect that these latter may exert upon the topological phases. In this Letter, we investigate the Su-Schrieffer-Heeger topological insulator in the presence of long-range interactions. We show that this model can be readily realized in quantum simulators with trapped ions by means of a periodic driving. Our results indicate that the localization of the associated edge states is enhanced by the long-range interactions, and that the localized components survive within the ground state of the model. These effects could be easily confirmed in current state-of-the-art experimental implementations.
arXiv comment9 pages (including Supp. Material), 4 figures
References in corpus (26)
- Topological Insulators
- Topological insulators and superconductors
- Many-Body Physics with Ultracold Gases
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum computation with ions in thermal motion
- Effective quantum spin systems with ion traps
- Observation of entanglement propagation in a quantum many-body system
- Non-local propagation of correlations in long-range interacting quantum systems
- Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
- A microfabricated surface-electrode ion trap for scalable quantum information processing
- Complete methods set for scalable ion trap quantum information processing
- Effective Spin Quantum Phases in Systems of Trapped Ions
- Phase Control of Trapped Ion Quantum Gates
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Long-distance entanglement and quantum teleportation in XX spin chains
- A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions
- Topological phases with long-range interactions
- Topological Quantum Liquids with Long-Range Couplings
- Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions
- Dipolar Spin Models with Arrays of Superconducting Qubits
- Manipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement
- Hidden Frustrated Interactions and Quantum Annealing in Trapped Ion Spin-Phonon Chains
- Topological phases of shaken quantum Ising lattices
Cited by in corpus (18)
- Interplay between long range hopping and disorder in topological systems
- Topological Amplification in Photonic Lattices
- Spin many-body phases in standard and topological waveguide QED simulators
- Trapped-ion quantum simulation of excitation transport: disordered, noisy, and long-range connected quantum networks
- Simulation of topological phases with color center arrays in phononic crystals
- Simulation of 1D topological phases in driven quantum dot arrays
- Current transport properties and phase diagram of a Kitaev chain with long-range pairing
- Edge insulating topological phases in a two-dimensional long-range superconductor
- Simulation of higher-order topological phases in 2D spin-phononic crystal networks
- Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
- Topological inheritance in half-SSH Hubbard models
- Local Chern marker of smoothly confined Hofstadter fermions
- Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
- Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
- Semiclassical approach to finite temperature quantum annealing with trapped ions
- Floquet control of interactions and edge states in a programmable quantum simulator
- Topological transitions controlled by the interaction range
- Relativistic meson spectra on ion-trap quantum simulators