Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
arXiv:1603.04686 · doi:10.1103/PhysRevA.93.062319
Abstract
The concept of flat band plays an important role in strongly-correlated many-body physics. However, the demonstration of the flat band physics is highly nontrivial due to intrinsic limitations in conventional condensed matter materials. Here we propose a circuit quantum electrodynamics simulator of the 2D Lieb lattice exhibiting a flat middle band. By exploiting the simple parametric conversion method, we design a photonic Lieb lattice with \textit{in situ} tunable hopping strengths in a 2D array of coupled superconducting transmissionline resonators. Moreover, the flexibility of our proposal enables the immediate incorporation of both the artificial gauge field and the strong photon-photon interaction in a time- and site-resolved manner. To unambiguously demonstrate the synthesized flat band, we further investigate the observation of the flat band localization of microwave photons through the pumping and the steady-state measurements of only few sites on the lattice. Requiring only current level of technique and being robust against imperfections in realistic circuits, our scheme can be readily tested in experiments and may pave a new way towards the future realization of exotic photonic quantum Hall fluids including anomalous quantum Hall effect and bosonic fractional quantum Hall states without magnetic fields.
arXiv comment10 pages, 4 figures. Published as Phys. Rev. A 93.062319
References in corpus (38)
- Charge insensitive qubit design derived from the Cooper pair box
- Quantum fluids of light
- Atomic physics and quantum optics using superconducting circuits
- Observation of the Dynamical Casimir Effect in a Superconducting Circuit
- Observation of a localized flat-band state in a photonic Lieb lattice
- Fractional quantum Hall effect in the absence of Landau levels
- Decoherence in a superconducting quantum bit circuit
- Observation of bound states in Lieb photonic lattices
- 1/f noise: implications for solid-state quantum information
- Fractional Chern Insulator
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- Topological Flat Band Models and Fractional Chern Insulators
- Fractional Quantum Hall Physics in Topological Flat Bands
- Decoherence of flux qubits due to 1/f flux noise
- Bosonic Condensation and Disorder-Induced Localization in a Flat Band
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Exotic electronic states in the world of flat bands: from theory to material
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- 1/f Flux Noise in Josephson Phase Qubits
- Controllable coupling of superconducting flux qubits
- Barrier transmission of Dirac-like pseudospin-one particles
- Decoherence in Josephson-junction qubits due to critical current fluctuations
- Dynamical Casimir effect entangles artificial atoms
- Quantum superposition of a single microwave photon in two different "colour" states
- Giant Kerr nonlinearities in Circuit-QED
- Fractionalized Topological Insulators
- Proposed realization of itinerant ferromagnetism in optical lattices
- Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
- Networks of nonlinear superconducting transmission line resonators
- Geometrical dependence of low frequency noise in superconducting flux qubits
- Incompressible polaritons in a flat band
- Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice
- Cross Kerr Effect Induced by Coupled Josephson Qubits in Circuit Quantum Electrodynamics
- Coherent-State Storage and Retrieval Between Superconducting Cavities Using Parametric Frequency Conversion
- Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
- Probing photon correlations in the dark sites of geometrically frustrated cavity lattices
- Quantum interference between two single photons of different microwave frequencies
Cited by in corpus (21)
- Artificial flat band systems: from lattice models to experiments
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- Flatband generator in two dimensions
- Desiging Artificial Lieb Lattice on Metal Surface
- Observation of robust flat-band localization in driven photonic rhombic lattices
- Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
- Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
- Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
- Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
- Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder
- Vortex-Meissner phase transition induced by two-tone-drive-engineered artificial gauge potential in the fermionic ladder constructed by superconducting qubit circuits
- Quantum collision theory in flat bands
- Dissipation-Induced Mobility and Coherence in Frustrated Lattices
- Hybrid Interference Induced Flat Band Localization in Bipartite Optomechanical Lattices
- Two-dimensional topological effect in a transmon qubit array with tunable couplings
- Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains
- Simulating the Klein tunneling of pseudospin-one Maxwell particles with trapped ions
- Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
- Exotic collective behaviors of giant quantum emitters in two-dimensional baths