Simulating Chern insulators on a superconducting quantum processor
arXiv:2207.11797 · doi:10.1038/s41467-023-41230-9
Abstract
The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions on a programable 30-qubit-ladder superconducting processor. We directly measure the band structures of the 2D Chern insulator along synthetic dimensions with various configurations of Aubry-André-Harper chains and observe dynamical localisation of edge excitations. With these two signatures of topology, our experiments implement the bulk-edge correspondence in the synthetic 2D Chern insulator. Moreover, we simulate two different bilayer Chern insulators on the ladder-type superconducting processor. With the same and opposite periodically modulated on-site potentials for two coupled chains, we simulate topologically nontrivial edge states with zero Hall conductivity and a Chern insulator with higher Chern numbers, respectively. Our work shows the potential of using superconducting qubits for investigating different intriguing topological phases of quantum matter.
arXiv commentmain text: 18 pages, 9 figures; supplementary information: 25 pages, 26 figures
References in corpus (36)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Charge insensitive qubit design derived from the Cooper pair box
- Quantum Simulation
- Experimental realisation of the topological Haldane model
- Imaging topological edge states in silicon photonics
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Colloquium: Topological Band Theory
- Microwave photonics with superconducting quantum circuits
- Topological States and Adiabatic Pumping in Quasicrystals
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Exciton-polariton topological insulator
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Synthetic Dimension in Photonics
- Spectral signatures of many-body localization with interacting photons
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Electronic properties of graphene-based bilayer systems
- Topological quantum matter in synthetic dimensions
- High-Chern-Number and High-Temperature Quantum Hall Effect without Landau Levels
- A single photonic cavity with two independent physical synthetic dimensions
- Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
- Low-decoherence flux qubit
- Tuning Chern Number in Quantum Anomalous Hall Insulators
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Observation of topological magnon insulator states in a superconducting circuit
- Observation of topological transport quantization by dissipation in fast Thouless pumps
- Coherent Imaging Spectroscopy of a Quantum Many-Body Spin System
- Spectroscopy of interacting quasiparticles in trapped ions
- Observation of thermalization and information scrambling in a superconducting quantum processor
- Topological Edge States with Zero Hall Conductivity in a Dimerized Hofstadter Model
- Laughlin's topological charge pump in an atomic Hall cylinder
- Realizing topologically ordered states on a quantum processor
- Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder
Cited by in corpus (27)
- Realization of fractional quantum Hall state with interacting photons
- Local readout and control of current and kinetic energy operators in optical lattices
- Demonstration of acoustic high-order Stiefel-Whitney semimetal in bilayer graphene sonic crystals
- Interactions enable Thouless pumping in a nonsliding lattice
- Implementing a synthetic magnetic vector potential in a 2D superconducting qubit array
- Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
- Interplay between disorder and topology in Thouless pumping on a superconducting quantum processor
- Exploring Hilbert-Space Fragmentation on a Superconducting Processor
- Probing spin hydrodynamics on a superconducting quantum simulator
- Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
- Nonlinear Thouless Pumping of Solitons Across an Impurity
- High-order topological pumping on a superconducting quantum processor
- Non-Markovian skin effect
- Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
- Hall response in interacting bosonic and fermionic ladders
- Long-Range Four-body Interactions in Structured Nonlinear Photonic Waveguides
- Thouless pumping in Josephson junction arrays
- In situ mixer calibration for superconducting quantum circuits
- Microwave Engineering of Tunable Spin Interactions with Superconducting Qubits
- SuperGrad: a differentiable simulator for superconducting processors
- Experimental observation of exact quantum critical states
- Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
- Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
- Topological anomalous Floquet photon pump
- Breakdown of the symmetry constraint in a Floquet topological insulator
- Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
- Remote entanglement generation via enhanced quantum state transfer