Robustness of topologically protected edge states in quantum walk experiments with neutral atoms
arXiv:1605.03633 · doi:10.1103/PhysRevA.94.013620
Abstract
Discrete-time quantum walks allow Floquet topological insulator materials to be explored using controllable systems such as ultracold atoms in optical lattices. By numerical simulations, we study the robustness of topologically protected edge states in the presence of decoherence in one- and two-dimensional discrete-time quantum walks. We also develop a simple analytical model quantifying the robustness of these edge states against either spin or spatial dephasing, predicting an exponential decay of the population of topologically protected edge states. Moreover, we present an experimental proposal based on neutral atoms in spin-dependent optical lattices to realize spatial boundaries between distinct topological phases. Our proposal relies on a new scheme to implement spin-dependent discrete shift operations in a two-dimensional optical lattice. We analyze under realistic decoherence conditions the experimental feasibility of observing unidirectional, dissipationless transport of matter waves along boundaries separating distinct topological domains.
arXiv comment16 pages, 10 figures
References in corpus (61)
- Topological Insulators
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Photonic Floquet Topological Insulators
- Room-Temperature Quantum Hall Effect in Graphene
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Experimental realisation of the topological Haldane model
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Topological Insulator Materials
- Topological characterization of periodically-driven quantum systems
- Majorana Zero Modes and Topological Quantum Computation
- Topological States and Adiabatic Pumping in Quasicrystals
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Observation of phononic helical edge states in a mechanical 'topological insulator'
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological Boundary Modes in Isostatic Lattices
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- An Electronic Mach-Zehnder Interferometer
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Topological Thouless Pumping of Ultracold Fermions
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Observation of topologically protected bound states in a one dimensional photonic system
- Exploring Topological Phases With Quantum Walks
- Floquet topological insulators
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Coherent transport of neutral atoms in spin-dependent optical lattice potentials
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Topology by dissipation
- Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
- Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
- Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
- An Introduction to Topological Insulators
- Bloch state tomography using Wilson lines
- Topological index for periodically driven time-reversal invariant 2D systems
- Electric quantum walks with individual atoms
- Finding the Kraus decomposition from a master equation and vice versa
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Topological phases and delocalization of quantum walks in random environments
- Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
- Propagation and spectral properties of quantum walks in electric fields
- Floquet Edge States with Ultracold Atoms
- Two dimensional topological insulators with tunable band gaps: HgTe and HgSe monolayers
- Spin Orbit Coupling in Periodically Driven Optical Lattices
- Super-resolution microscopy of single atoms in optical lattices
- Quantum Walks and discrete Gauge Theories
- Microwave control of atomic motional states in a spin-dependent optical lattice
- Bulk-edge correspondence of one-dimensional quantum walks
- Edge-state enhanced transport in a 2-dimensional quantum walk
- Decoherence Models for Discrete-Time Quantum Walks and their Application to Neutral Atom Experiments
- Low-entropy states of neutral atoms in polarization-synthesized optical lattices
- Two-dimensional quantum walk under artificial magnetic field
- Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
- Quantum phases in tunable state-dependent hexagonal optical lattices
- Generation and Manipulation of Localized Modes in Floquet Topological Insulators
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- Measuring the winding number in a large-scale chiral quantum walk
- Detecting topological invariants in chiral symmetric insulators via losses
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- Low-entropy states of neutral atoms in polarization-synthesized optical lattices
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- Simulating Dirac Hamiltonian in Curved Space-time by Split-step Quantum Walk
- Exact edge, bulk and bound states of finite topological systems
- Revealing quantum statistics with a pair of distant atoms
- Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
- Localization counteracts decoherence in noisy Floquet topological chains
- Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
- Quantum walk of a Bose-Einstein condensate in the Brillouin zone
- Topological quantum walks: theory and experiments
- Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
- Recent progress on quantum simulations of non-standard Bose-Hubbard models
- Spectral flow and global topology of the Hofstadter butterfly
- Topological spin texture of chiral edge states in photonic two-dimensional quantum walks
- Decomposition of split-step quantum walks for simulating Majorana modes and edge states
- Topological chiral modes in random scattering networks
- Boltzmann-Gibbs states in topological quantum walks and associated many-body systems: Fidelity and Uhlmann parallel transport analysis of Phase Transitions
- Three-dimensional imaging of single atoms in an optical lattice via helical point-spread-function engineering
- Simulating Floquet topological phases in static systems
- Ramsey imaging of optical traps
- Controllable simulation of topological phases and edge states with quantum walk
- Second-order topological insulator in a coinless discrete-time quantum walk
- Topological reflection matrix
- Multiparticle quantum walk: a dynamical probe of topological many-body excitations
- Revivals in One-dimensional Quantum Walks with a Time and Spin-dependent Phase Shift
- Quantum Simulation of Neutrino Oscillation and Dirac Particle Dynamics in Curved Space-time
- Boson sampling with ultracold atoms in a programmable optical lattice
- Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
- Spontaneous-emission induced ratchet in atom-optics kicked rotor quantum walks
- Robust qubit interactions mediated by photonic topological edge states
- Topological quantum walks in cavity-based quantum networks
- Ultracold atomic lattice systems for simulating topological phases: A review
- Light-shift induced behaviors observed in momentum-space quantum walks