Engineering topological materials in microwave cavity arrays

Abstract

We present a scalable architecture for the exploration of interacting topological phases of photons in arrays of microwave cavities, using established techniques from cavity and circuit quantum electrodynamics. A time-reversal symmetry breaking (non-reciprocal) flux is induced by coupling the microwave cavities to ferrites, allowing for the production of a variety of topological band structures including the $\alpha =1/4$ Hofstadter model. Effective photon-photon interactions are included by coupling the cavities to superconducting qubits, and are sufficient to produce a $\nu =1/2$ bosonic Laughlin puddle. We demonstrate by exact diagonalization that this architecture is robust to experimentally achievable levels of disorder. These advances provide an exciting opportunity to employ the quantum circuit toolkit for the exploration of strongly interacting topological materials.

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Fractional quantum Hall states at zero magnetic field
• High Cooperativity Cavity QED with Magnons at Microwave Frequencies
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Anyons and the quantum Hall effect - a pedagogical review
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Fractional Quantum Hall Effect in Optical Lattices
• Fractional Quantum Hall State in Coupled Cavities
• Quantum Hall physics in rotating Bose-Einstein condensates
• Induced self-stabilization in fractional quantum Hall states of light
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Exact Solutions of Fractional Chern Insulators: Interacting Particles in the Hofstadter Model at Finite Size
• Passive correction of quantum logical errors in a driven, dissipative system: a blueprint for an analog quantum code fabric

Cited by in corpus (63)

• Topological Photonics
• Nonlinear topological photonics
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Quantum electrodynamics in a topological waveguide
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Universal stabilization of a parametrically coupled qubit
• Crystallography of Hyperbolic Lattices
• Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry
• Synthetic gauge field in a single optomechanical resonator
• Topological Amplification in Photonic Lattices
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• Seamless high-Q microwave cavities for multimode circuit QED
• Topological Quantum Batteries
• Light-matter interactions in synthetic magnetic fields: Landau-photon polaritons
• Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Observing quantum synchronization blockade in circuit quantum electrodynamics
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• L lines, C points and Chern numbers: understanding band structure topology using polarization fields
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Topological input-output theory for directional amplification
• Steady-state Hall response and quantum geometry of driven-dissipative lattices
• Breaking Lorentz reciprocity with frequency conversion and delay
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Topological phase transition measured in a dissipative metamaterial
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• Amplification of quantum signals by the non-Hermitian skin effect
• Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation
• Hamiltonian Tomography of Photonic Lattices
• Reservoir engineering with localized dissipation: dynamics and pre-thermalization
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Electric fields for light: Propagation of microwave photons along a synthetic dimension
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Light-matter interactions near photonic Weyl points
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Real-space probe for lattice quasiholes
• Topological phases of the dimerized Hofstadter butterfly
• Spatial correlations in driven-dissipative photonic lattices
• Two-point spectroscopy of Fibonacci topoelectrical circuits
• Snapshot-based detection of $\frac{1}{2}$-Laughlin states: coupled chains and central charge
• Building Flat-Band Lattice Models from Gram Matrices
• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
• Toolbox for nonreciprocal dispersive models in circuit QED
• Probing Site-Resolved Current in Strongly Interacting Superconducting Circuit Lattices
• Spectrum of the Dicke model in a superconducting qubit-oscillator system
• Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
• Spectroscopy and topological properties of a Haldane light system
• Quantum Sensing with Topological-Paired Bound States
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Chiral excitation flows of a multinode network based on synthetic gauge fields
• Detecting Hidden Order in Fractional Chern Insulators
• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
• Robust nonequilibrium edge currents with and without band topology
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Permanent spin currents in cavity-qubit systems
• An algorithm for tailoring a quadratic lattice with a local squeezed reservoir to stabilize generic chiral states with non-local entanglement
• Quantum stabilization of photonic spatial correlations
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
• Fundamental and second-subharmonic Autler-Townes splitting in classical systems
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• Dissipation and noise in strongly driven Josephson junctions