Circuit QED lattices: towards quantum simulation with superconducting circuits
arXiv:1212.2070 · doi:10.1002/andp.201200261
Abstract
The Jaynes-Cummings model describes the coupling between photons and a single two-level atom in a simplified representation of light-matter interactions. In circuit QED, this model is implemented by combining microwave resonators and superconducting qubits on a microchip with unprecedented experimental control. Arranging qubits and resonators in the form of a lattice realizes a new kind of Hubbard model, the Jaynes-Cummings-Hubbard model, in which the elementary excitations are polariton quasi-particles. Due to the genuine openness of photonic systems, circuit QED lattices offer the possibility to study the intricate interplay of collective behavior, strong correlations and non-equilibrium physics. Thus, turning circuit QED into an architecture for quantum simulation, i.e., using a well-controlled system to mimic the intricate quantum behavior of another system too daunting for a theorist to tackle head-on, is an exciting idea which has served as theorists' playground for a while and is now also starting to catch on in experiments. This review gives a summary of the most recent theoretical proposals and experimental efforts in this context.
15 pages, 6 figures
References in corpus (72)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Charge insensitive qubit design derived from the Cooper pair box
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Circuit Quantum Electrodynamics
- Coupling Superconducting Qubits via a Cavity Bus
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- An Open-System Quantum Simulator with Trapped Ions
- 14-qubit entanglement: creation and coherence
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum phase transitions of light
- Quantised Vortices in an Exciton-Polariton Fluid
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Quantum-fluid dynamics of microcavity polaritons
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Controlling the spontaneous emission of a superconducting transmon qubit
- Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
- Single photons from coupled quantum modes
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Distributed quantum computation via optical fibres
- On the origin of strong photon antibunching in weakly nonlinear photonic molecules
- Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Dissipative Phase Transition in Central Spin Systems
- Photon Blockade in the Ultrastrong Coupling Regime
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
- Black-box superconducting circuit quantization
- Non-equilibrium quantum condensation in an incoherently pumped dissipative system
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Nonlinear response of the vacuum Rabi resonance
- Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
- Noiseless nonreciprocity in a parametric active device
- Deterministic entanglement of photons in two superconducting microwave resonators
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
- The quantum optical Josephson interferometer
- Measurement of Autler-Townes and Mollow transitions in a strongly driven superconducting qubit
- Fractional Quantum Hall State in Coupled Cavities
- Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
- Control and Tomography of a Three Level Superconducting Artificial Atom
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- Microwave Photon Detector in Circuit QED
- Effective spin systems in coupled micro-cavities
- Dynamical properties of ultracold bosons in an optical lattice
- Photon shell game in three-resonator circuit quantum electrodynamics
- On the phase transition of light in cavity QED lattices
- Many-body phenomena in QED-cavity arrays
- Non-equilibrium dynamics of coupled qubit-cavity arrays
- Strong coupling theory for the Jaynes-Cummings-Hubbard model
- Non-equilibrium delocalization-localization transition of photons in circuit QED
- Design and analysis of photonic crystal coupled cavity arrays for quantum simulation
- Multi-mode mediated exchange coupling in cavity QED
- Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
- Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
- Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
- Quantum phase transitions in photonic cavities with two-level systems
- Excitation spectra of strongly correlated lattice bosons and polaritons
- Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
- Simulation of high-spin Heisenberg models in coupled cavities
- Emission characteristics of laser-driven dissipative coupled-cavity systems
- Deterministic Generation of Entangled Photons in Superconducting Resonator Arrays
- Quantum phase transition in an array of coupled dissipative cavities
- Photon and polariton fluctuations in arrays of QED-cavities
- Disordered driven coupled cavity arrays: Non-equilibrium stochastic mean-field theory
Cited by in corpus (212)
- Circuit Quantum Electrodynamics
- Microwave photonics with superconducting quantum circuits
- Quantum information processing with superconducting circuits: a review
- Keldysh Field Theory for Driven Open Quantum Systems
- Quantum Simulation for High Energy Physics
- Hyperbolic Lattices in Circuit Quantum Electrodynamics
- Quantum simulations and many-body physics with light
- Light-matter interaction in the long-wavelength limit: no ground-state without dipole self-energy
- Tunable-range, photon-mediated atomic interactions in multimode cavity QED
- Quantum thermodynamic devices: from theoretical proposals to experimental reality
- Quantum Simulation with Interacting Photons
- Critical dynamical properties of a first-order dissipative phase transition
- Cavity quantum acoustic device in the multimode strong coupling regime
- Nonequilibrium many-body steady states via Keldysh formalism
- Measurement of many-body chaos using a quantum clock
- Observation of a Dissipation-Induced Classical to Quantum Transition
- Suppression of photon shot noise dephasing in a tunable coupling superconducting qubit
- Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
- Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
- Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
- Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
- Crystallography of Hyperbolic Lattices
- Studying Light-Harvesting Models with Superconducting Circuits
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry
- Corner space renormalization method for driven-dissipative 2D correlated systems
- Theoretical methods for ultrastrong light-matter interactions
- Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics
- Multistability of Driven-Dissipative Quantum Spins
- Symmetry-resolved dynamical purification in synthetic quantum matter
- Digital-Analog Quantum Simulations with Superconducting Circuits
- A quantum transducer using a parametric driven-dissipative phase transition
- Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
- Photon localization versus population trapping in a coupled-cavity array
- Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation
- High contrast qubit interactions using multimode cavity QED
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Recent progress in quantum simulation using superconducting circuits
- Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
- Observation of collective coupling between an engineered ensemble of macroscopic artificial atoms and a superconducting resonator
- Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
- Quantum correlations in the 1-D driven dissipative transverse field XY model
- Incompressible polaritons in a flat band
- Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
- Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
- Realizing the two-dimensional hard-core Bose-Hubbard model with superconducting qubits
- Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
- Driven dissipative dynamics and topology of quantum impurity systems
- Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
- Distinctive class of dissipation-induced phase transitions and their universal characteristics
- Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice
- Quantum control of an oscillator using stimulated nonlinearity
- High-fidelity parametric beamsplitting with a parity-protected converter
- Observation of the Crossover from Photon Ordering to Delocalization in Tunably Coupled Resonators
- Hyperbolic Band Theory under Magnetic Field and Dirac Cones on a Higher Genus Surface
- Cavity-mediated near-critical dissipative dynamics of a driven condensate
- Field Theory of Many-Body Lindbladian Dynamics
- Theory of classical metastability in open quantum systems
- Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
- Steady States of Infinite-Size Dissipative Quantum Chains via Imaginary Time Evolution
- Quantum Dynamics of the Driven and Dissipative Rabi Model
- Complete Bell-state analysis for superconducting-quantum-interference-device qubits with transitionless tracking algorithm
- Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
- Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
- Topological two-dimensional Floquet lattice on a single superconducting qubit
- Dispersive regime of the Jaynes-Cummings and Rabi lattice
- Origin and Implications of -like Contribution in the Quantization of Circuit-QED Systems
- Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
- Inducing Non-Classical Lasing Via Periodic Drivings in Circuit Quantum Electrodynamics
- Engineering dissipation with resistive elements in circuit quantum electrodynamics
- Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons
- Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain
- Fully quantum scalable description of driven dissipative lattice models
- Steady-state nested entanglement structures in harmonic chains with single-site squeezing manipulation
- Non-Markovian Quantum Dynamics in Strongly Coupled Multimode Cavities Conditioned on Continuous Measurement
- Kinetically Constrained Quantum Dynamics in Superconducting Circuits
- Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
- Spontaneous symmetry breaking in a coherently driven nanophotonic Bose-Hubbard dimer
- Digital quantum simulators in a scalable architecture of hybrid spin-photon qubits
- Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
- Emergent symmetry in a double-quantum-dot circuit QED set-up
- Probing photon correlations in the dark sites of geometrically frustrated cavity lattices
- The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos
- Bound state in the continuum by spatially separated ensembles of atoms in a coupled-cavity array
- Optically bistable driven-dissipative Bose-Hubbard dimer: Gutzwiller approaches and entanglement
- Seeing bulk topological properties of band insulators in small photonic lattices
- Fluorescence spectrum and thermalization in a driven coupled cavity array
- Few-photon transport in many-body photonic systems: A scattering approach
- Superconducting Circuit Architecture for Digital-Analog Quantum Computing
- Quantum Phase Transition of Light in the Rabi-Hubbard Model
- Dynamical hysteresis properties of the driven-dissipative Bose-Hubbard model with a Gutzwiller Monte Carlo approach
- Non-Markovian dynamics of a superconducting qubit in an open multimode resonator
- Qubit lattice coherence induced by electromagnetic pulses in superconducting metamaterials
- Finite sizes and smooth cutoffs in superconducting circuits
- Imaging Photon Lattice States by Scanning Defect Microscopy
- Optimal gauge for the multimode Rabi model in circuit QED
- Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
- Critical relaxation with overdamped quasiparticles in open quantum systems
- Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles
- Few-photon Fock-state wave packet interacting with a cavity-atom system in a waveguide: Exact quantum state dynamics
- Polariton spectrum of the Dicke-Ising model
- Quantum light-matter interactions in structured waveguides
- Synthetic gauge field and chiral physics on two-leg superconducting circuits
- Spontaneous Beliaev-Landau scattering out of equilibrium
- Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic NEGF approach
- Hardware-efficient fermionic simulation with a cavity-QED system
- Stochastic Differential Equations for Quantum Dynamics of Spin-Boson Networks
- Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems
- Connecting classical and quantum mode theories for coupled lossy cavity resonators using quasinormal modes
- Giant photon gain in large-scale quantum dot circuit-QED systems
- Superconducting circuit simulator of Bose-Hubbard model with a flat band
- Polaritonic Quantum Matter
- Self-protected polariton states in photonic quantum metamaterials
- Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics
- Supersolid phases of light in extended Jaynes-Cummings-Hubbard systems
- Effects of lasing in a one-dimensional quantum metamaterial
- Correlation-induced steady states and limit cycles in driven dissipative quantum systems
- Quantum power boost in a nonstationary cavity-QED quantum heat engine
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- Quantum transport under AC drive from the leads : A Quantum Master Equation approach
- Colloquium: Synthetic quantum matter in non-standard geometries
- Fluxon-Based Quantum Simulation in Circuit QED
- Topological photonics on superconducting quantum circuits with parametric couplings
- Dynamical renormalization group approach to the spin-boson model
- Controlling Matter Phases beyond Markov
- Polariton-based quantum memristors
- Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
- Adiabatic quantum simulations with driven superconducting qubits
- Classical and Quantum Chaos in Chirally-Driven, Dissipative Bose-Hubbard Systems
- A tunable, nonlinear Hong-Ou-Mandel interferometer
- Entanglement-enhanced two-photon delocalization in a coupled-cavity array
- From the Jaynes-Cummings-Hubbard to the Dicke model
- One qubit and one photon -- the simplest polaritonic heat engine
- Spatial correlations in driven-dissipative photonic lattices
- Few-Photon Scattering in Dispersive Waveguides with Multiple Qubits
- Site-wise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
- Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
- Non-interacting many-particle quantum transport between finite reservoirs
- Exponential Lifetime Improvement in Topological Quantum Memories
- Quantum simulation of the Anderson Hamiltonian with an array of coupled nanoresonators: delocalization and thermalization effects
- Scalable quantum computing model in the circuit-QED lattice with circulator function
- Multi-time correlations in the positive-P, Q, and doubled phase-space representations
- Frustrated polaritons
- Dissipation-induced antiferromagnetic-like frustration in coupled photonic resonators
- The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system
- Fermionized photons in the ground state of one-dimensional coupled cavities
- Engineering indefinitely long-lived localization in cavity-QED arrays
- Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
- Quantum Zeno Effect in Noisy Integrable Quantum Circuits for Impurity Models
- Fock space localization of polaritons in the Jaynes-Cummings dimer model
- Emergent light crystal from frustration and pump engineering
- Quench dynamics of a disordered array of dissipative coupled cavities
- Synchronization of Networked Jahn-Teller Systems in Circuit QED
- Quantum estimation of Kerr nonlinearity in driven-dissipative systems
- Spectral theory of non-Markovian dissipative phase transitions
- Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
- Critical initial-slip scaling for the noisy complex Ginzburg-Landau equation
- Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
- Quantum superpositions of current states in Rydberg-atom networks
- Diamond Configuration for Non-reciprocal Transmission
- Superfluid-Mott-insulator phase transition of light in a two-mode cavity array with ultrastrong coupling
- Connecting steady-states of driven-dissipative photonic lattices with spontaneous collective emission phenomena
- Emergent photon pair propagation in circuit QED with superconducting processors
- Superfluid-Mott insulator quantum phase transition in a cavity optomagnonic system
- Population Dynamics of Schrödinger Cats
- Soliton versus single photon quantum dynamics in arrays of superconducting qubits
- Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
- Coupling qubits in circuit-QED cavities connected by a bridge qubit
- Emergence of chaos and controlled photon transfer in a cavity-QED network
- Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
- External control of qubit-photon interaction and multi-qubit reset in a dissipative quantum network
- Dispersive Jaynes-Cummings Hamiltonian describing a two-level atom interacting with a two-level single mode field
- Observation of topological valley Hall edge states in honeycomb lattices of superconducting microwave resonators
- Mitigation of noise in Josephson parametric oscillator by injection locking
- Topological and nontopological edge states induced by qubit-assisted coupling potentials
- Effective spin physics in two-dimensional cavity QED arrays
- Dynamics of two-dimensional open quantum lattice models with tensor networks
- Signatures of topological quantum phase transitions in driven and dissipative qubit-arrays
- Cavity-induced topological edge and corner states
- Thermoelectric cooling of a finite reservoir coupled to a quantum dot
- A single-photon microwave switch with recoverable control photon
- Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains
- Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
- Generation of photons from vacuum in cavity via time-modulation of a qubit invisible to the field
- Transition to chaos in extended systems and their quantum impurity models
- Engineering Gaussian states of light from a planar microcavity
- Quantum stabilization of photonic spatial correlations
- Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits
- Evaluating states in trapped ions with local correlation between internal and motional degrees of freedom
- Bulk properties of honeycomb lattices of superconducting microwave resonators
- Entanglement dynamics in dissipative photonic Mott insulators
- Quantum signatures of chaos in a cavity-QED-based stimulated Raman adiabatic passage
- Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
- A modified quasi-classical analysis to capture the effects of strong interaction in open QED lattices
- Superradiance, charge density waves and lattice gauge theory in a generalized Rabi-Hubbard chain
- Extended Josephson junction qubit system
- Controllability of the Jaynes-Cummings-Hubbard model
- Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
- On-Chip Photonic Transistor based on the Spike Synchronization in Circuit QED
- Quantum simulation scheme of two-dimensional xy-model Hamiltonian with controllable coupling
- Phase diagram of a QED-cavity array coupled via a N-type level scheme
- Qubit-Photon Bound States in Superconducting Metamaterials
- The transport character of quantum state in one-dimensional coupled-cavity-arrays: effect of the number of photons and entanglement degree
- Phase sensitive photonic flash
- Coherent pair injection as a route towards the enhancement of supersolid order in many-body bosonic models
- Multiqubit Greenberger-Horne-Zeilinger state generated by synthetic magnetic field in circuit QED
- Heisenberg-Langevin Formalism For Open Circuit-QED Systems
- Dissipation and noise in strongly driven Josephson junctions
- Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
- Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity
- Two-photon exchange interaction from Dicke Hamiltonian under parametric modulation
- Out-of-equilibrium physics in driven dissipative coupled resonator arrays