Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light

Abstract

We review recent developments concerning non-equilibrium quantum dynamics and many-body physics with light, in superconducting circuits and Josephson analogues. We start with quantum impurity models summarizing the effect of dissipation and of driving the system. We mention theoretical and experimental efforts to characterize these non-equilibrium quantum systems. We show how Josephson junction systems can implement the equivalent of the Kondo effect with microwave photons. The Kondo effect is characterized by a renormalized light-frequency and a peak in the Rayleigh elastic transmission of a photon. We also address the physics of hybrid systems comprising mesoscopic quantum dot devices coupled to an electromagnetic resonator. Then, we discuss extensions to Quantum Electrodynamics (QED) Networks allowing to engineer the Jaynes-Cummings lattice and Rabi lattice models. This opens the door to novel many-body physics with light out of equilibrium, in relation with the Mott-superfluid transition observed with ultra-cold atoms in optical lattices. Then, we summarize recent theoretical predictions for realizing topological phases with light. Synthetic gauge fields and spin-orbit couplings have been successfully implemented with ultra-cold atoms in optical lattices --- using time-dependent Floquet perturbations periodic in time, for example --- as well as in photonic lattice systems. Finally, we discuss the Josephson effect related to Bose-Hubbard models in ladder and two-dimensional geometries. The Bose-Hubbard model is related to the Jaynes-Cummings lattice model in the large detuning limit between light and matter. In the presence of synthetic gauge fields, we show that Meissner currents subsist in an insulating Mott phase.

arXiv comment35 pages, Invited Review Submitted to Comptes Rendus de l'Academie des Sciences, topical issue on polaritons. Final Version, to be published

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• Bosonic Condensation and Disorder-Induced Localization in a Flat Band
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• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Quantum many-body dynamics in optomechanical arrays
• Fractional topological insulators
• Topological Polaritons
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Topological creation and destruction of edge states in photonic graphene
• Bipartite Fluctuations as a Probe of Many-Body Entanglement
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
• Nonlinear response of the vacuum Rabi resonance
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Fractional Quantum Hall Effect in Optical Lattices
• The Fractional Quantum Hall effect in an array of quantum wires
• Generating Entangled Microwave Radiation Over Two Transmission Lines
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• From Luttinger liquid to non-Abelian quantum Hall states
• Exact c-number Representation of Non-Markovian Quantum Dissipation
• Digital quantum simulation of spin models with circuit quantum electrodynamics
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• Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator
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• Correlation effects in two-dimensional topological insulators
• Observation of topological transitions in interacting quantum circuits
• Mapping the optimal route between two quantum states
• Atomic quantum dots coupled to BEC reservoirs
• Topological Kondo effect with Majorana fermions
• Engineering spin-orbit coupling for photons and polaritons in microstructures
• Realizing Fractional Chern Insulators with Dipolar Spins
• Coherent coupling of a single spin to microwave cavity photons
• Electron quantum optics in ballistic chiral conductors
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Coupling a quantum dot, fermionic leads and a microwave cavity on-chip
• Superradiant Phase Transitions and the Standard Description of Circuit QED
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
• The kagome antiferromagnet: a chiral topological spin liquid ?
• Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Topological transition of Dirac points in a microwave experiment
• Dicke quantum spin glass of atoms and photons
• Fractional Quantum Hall State in Coupled Cavities
• Reaching Fractional Quantum Hall States with Optical Flux Lattices
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Meissner effect in a bosonic ladder
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Impurity Quantum Phase Transitions
• Spin-orbit coupling and optical spin Hall effect in photonic graphene
• Measuring a topological transition in an artificial spin 1/2 system
• Isolated Flat Bands and Spin-1 Conical Bands in Two-Dimensional Lattices
• Many Body Effects on the Transport Properties of Single-Molecule Devices
• High field fractional quantum Hall effect in optical lattices
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Widely tunable, non-degenerate three-wave mixing microwave device operating near the quantum limit
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Observation and measurement of "giant" dispersive optical non-linearities in an ensemble of cold Rydberg atoms
• On-chip superconducting microwave circulator from synthetic rotation
• Correlation effects on 3D topological phases: from bulk to boundary
• Basins of attraction of a nonlinear nanomechanical resonator
• Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
• Network Models of Photonic Floquet Topological Insulators
• Bose Hubbard Model in a Strong Effective Magnetic Field: Emergence of a Chiral Mott Insulator Ground State
• Scattering in the ultrastrong regime: nonlinear optics with one photon
• On the phase transition of light in cavity QED lattices
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Many-body phenomena in QED-cavity arrays
• Mesoscopic Charge Relaxation
• Analytical eigenstates for the quantum Rabi model
• Hybrid Microwave-Cavity Heat Engine
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• Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
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• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• A Coherent RC Circuit
• Corner space renormalization method for driven-dissipative 2D correlated systems
• Synthetic gauge fields and homodyne transmission in Jaynes-Cummings lattices
• Photon mediated interaction between distant quantum dot circuits
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• Bosonic Mott Insulator with Meissner Currents
• Measuring topological invariants in photonic systems
• Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
• Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
• Dynamical Quantum Hall Effect in the Parameter Space
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Universal Resistances of the Quantum RC circuit
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Ultrastrong coupling in two-resonator circuit QED
• Nature of chiral spin liquids on the kagome lattice
• Single-Atom Addressing in Microtraps for Quantum-State Engineering using Rydberg Atoms
• Macroscopic Polarization Rotation Induced by a Single Spin
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
• Non-equilibrium Fractional Quantum Hall state of light
• Wigner time delay and related concepts -- Application to transport in coherent conductors
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Topological invariants for interacting topological insulators with inversion symmetry
• Kondo Resonance of a Microwave Photon
• Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array
• Coupling two distant double quantum dots to a microwave resonator
• Multi-channel Kondo impurity dynamics in a Majorana device
• Non-perturbative stochastic method for driven spin-boson model
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices
• Realizing a Kondo-correlated state with ultracold atoms
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Tomonaga-Luttinger physics in electronic quantum circuits
• A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
• Theory of Bosons in two-leg ladders with large magnetic fields
• Resonantly Tunable Majorana Polariton in a Microwave Cavity
• Generation of quantum-dot cluster states with superconducting transmission line resonator
• Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
• Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• A study on correlation effects in two dimensional topological insulators
• Bose-Hubbard Model: Relation Between Driven-Dissipative Steady-States and Equilibrium Quantum Phases
• Flat-band ferromagnetism in quantum dot superlattices
• Cooperative excitation and many-body interactions in a cold Rydberg gas
• Occupation of a resonant level coupled to a chiral Luttinger liquid
• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Steady-state entanglement of spatially separated qubits via quantum bath engineering
• Exotic attractors of the non-equilibrium Rabi-Hubbard model
• Spinless Fermionic ladders in a magnetic field: Phase Diagram
• Quantum Coherence of the Ground State of a Mesoscopic Ring
• Dissipative Quantum Ising model in a cold atomic spin-boson mixture
• Coulomb blockade of a noisy metallic box: A realization of Bose-Fermi Kondo models
• Quantum dot admittance probed at microwave frequencies with an on-chip resonator
• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Chemical potential for light by parametric coupling
• Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions
• Quantum correlations in the 1-D driven dissipative transverse field XY model
• Ac Josephson Effect in Topological Josephson Junctions
• Incompressible polaritons in a flat band
• Unification of electromagnetic noise and Luttinger liquid via a quantum dot
• Cavity-coupled double-quantum dot at finite bias: analogy with lasers and beyond
• Cavity quantum electrodynamics with mesoscopic topological superconductors
• Analog Superconducting Quantum Simulator for Holstein Polarons
• Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
• Two-resonator circuit QED: Dissipative Theory
• Squeezing light with Majorana fermions
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Photon transport in a dissipative chain of nonlinear cavities
• Simulation of high-spin Heisenberg models in coupled cavities
• Kagom{é} Lattice Antiferromagnet Stripped to Its Basics
• Simulating Quantum Fields with Cavity QED
• Quantum phase transition of Ising-coupled Kondo impurities
• Dynamical correlation functions and the quantum Rabi model
• Observing Chiral Superfluid Order by Matter-Wave Interference
• Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: a Density Matrix Renormalization Group study
• Optomechanical Dirac Physics
• Quantum Kibble-Zurek physics in the presence of spatially-correlated dissipation
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux
• Majorana qubit rotations in microwave cavities
• Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit
• Universality in dissipative Landau-Zener transitions
• Exceptional and regular spectra of a generalized Rabi model
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Tunable microwave impedance matching to a high impedance source using a Josephson metamaterial
• Excitations of strongly correlated polaritons
• Conformal Field Theory Approach to the Kondo Effect
• Z2 topological invariants in two dimensions from quantum Monte Carlo
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• ${\mathbb{Z}}_2$ fractional topological insulators in two dimensions
• Giant Charge Relaxation Resistance in the Anderson Model
• On solvability and integrability of the Rabi model
• Energy-resolved inelastic electron scattering off a magnetic impurity
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Microwave-controlled coupling of Majorana bound states
• Fermion parity measurement and control in Majorana circuit quantum electrodynamics
• Simulating weak localization using superconducting quantum circuits
• Nonadiabatic Dynamics of a Dissipative Two-level System
• Hidden Caldeira-Leggett dissipation in a Bose-Fermi Kondo model
• Oscillatory dynamics and non-markovian memory in dissipative quantum systems
• Quantum Simulations of Relativistic Quantum Physics in Circuit QED
• Bethe ansatz solution of the topological Kondo model
• Imprint of topological degeneracy in quasi-one-dimensional fractional quantum Hall states
• Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
• Fluctuations and Entanglement spectrum in quantum Hall states
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Physical Implementation of a Majorana Fermion Surface Code for Fault-Tolerant Quantum Computation
• Non-equilibrium transport at a dissipative quantum phase transition
• Dynamical critical exponent of the Jaynes-Cummings-Hubbard model
• Josephson-Kondo screening cloud in circuit quantum electrodynamics
• Energy landscape in two-dimensional Penrose-tiled quasicrystal
• Non-Fermi liquid manifold in a Majorana device
• The Open Quantum Brownian Motion
• The Maxwell-Bloch Theory in Quantum Optics and the Kondo Model
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Comparison of Phase Boundaries between Kagome and Honeycomb Superconducting Wire Networks
• The quantum phase transition and correlations in the multi-spin-boson model
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
• Dissipation-induced quantum phase transition in a quantum box
• A semiclassical study of the Jaynes-Cummings model
• Heisenberg Uncertainty Principle as Probe of Entanglement Entropy: Application to Superradiant Quantum Phase Transitions
• Interacting bosons in topological optical flux lattices
• Dissipative dynamics of a driven quantum spin coupled to a bath of ultracold fermions
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Double-dot charge qubit and transport via dissipative cotunneling
• Strongly correlated dynamics in multichannel quantum RC circuits
• Algebraic Bethe Ansätze and eigenvalue-based determinants for Dicke-Jaynes-Cummings-Gaudin quantum integrable models
• Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
• The underscreened Kondo effect: a two S=1 impurity model
• Stochastic Differential Equations for Quantum Dynamics of Spin-Boson Networks
• Disordered driven coupled cavity arrays: Non-equilibrium stochastic mean-field theory
• Electrical Current from Quantum Vacuum Fluctuations in Nano-engines
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Rings and boxes in dissipative environments
• Probing dynamics of Majorana fermions in quantum impurity systems
• Quantum quenches and driven dynamics in a single-molecule device
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Proposed Rabi-Kondo Correlated State in a Laser-Driven Semiconductor Quantum Dot
• Dynamics of Two-Level System Interacting with Random Classical Field
• Driven-dissipative ising model: mean field solution
• Berry curvature effects in the Bloch oscillations of a quantum particle under a strong (synthetic) magnetic field
• Quantum impurity approach to a coupled qubit problem
• Realizing Topological Mott Insulators from the RKKY Interaction
• Entangled states in a Josephson charge qubit coupled to a superconducting resonator
• Spin-boson model with an engineered reservoir in circuit quantum electrodynamics
• Discontinuous current-phase relations in small 1D Josephson junction arrays
• The underscreened Kondo effect in ladder systems
• Classical Bethe Ansatz and Normal Forms in the Jaynes-Cummings Model
• Rings and Coulomb boxes in dissipative environments
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics

Cited by in corpus (80)

• Artificial flat band systems: from lattice models to experiments
• Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
• Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
• Multistability of Driven-Dissipative Quantum Spins
• Fundamental limitations in Lindblad descriptions of systems weakly coupled to baths
• A tunable Josephson platform to explore many-body quantum optics in circuit-QED
• Engineering topological materials in microwave cavity arrays
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Gauge Fixing for Strongly Correlated Electrons coupled to Quantum Light
• Topological Zak Phase in Strongly-Coupled LC Circuits
• Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Topological Marker Currents in Chern Insulators
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Simulating generic spin-boson models with matrix product states
• Observation of quantum many-body effects due to zero point fluctuations in superconducting circuits
• Driven dissipative dynamics and topology of quantum impurity systems
• Linked cluster expansions for open quantum systems on a lattice
• Kerr non-linearity in a superconducting Josephson metamaterial
• Dynamical properties of dissipative XYZ Heisenberg lattices
• Quantum efficiency of a microwave photon detector based on a double quantum dot
• Steady States of Infinite-Size Dissipative Quantum Chains via Imaginary Time Evolution
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
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• Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
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• Interacting Stochastic Topology and Mott Transition from Light Response
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Photon statistics of a double quantum dot micromaser: Quantum treatment
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• Searching for Lindbladians obeying local conservation laws and showing thermalization
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• Magnetic Topological Kagome Systems
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• Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many body system
• Quantum Entangled Fractional Topology and Curvatures
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• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Dynamic Mode Decomposition for Extrapolating Non-equilibrium Green's Functions Dynamics
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Left-handed superlattice metamaterials for circuit QED
• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics
• Fluxon-Based Quantum Simulation in Circuit QED
• A Green's function approach to the linear response of a driven dissipative optomechanical system
• Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Environment-induced synchronization of two quantum oscillators
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Superefficient cascade multiresonator quantum memory
• Quantum walks of interacting Mott insulator defects with three-body interactions
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Kondo induced π-phase shift of microwave photons in a circuit quantum electrodynamics architecture
• Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
• Spin-boson model under dephasing: Markovian vs Non-Markovian dynamics
• Linear nonlocal problem for the abstract time-dependent non-homogeneous Schrödinger equation
• Quantum phase transitions of light in a dissipative Dicke-Bose-Hubbard model
• Spectroscopy and topological properties of a Haldane light system
• Self-organization in many-body systems with short-range interactions: clustering, correlations and topology
• Entanglement of condensed magnons via momentum-space fragmentation
• Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines
• Universal Non-equilibrium I-V Curve Near Two-channel Kondo-Luttinger Quantum Critical Point
• 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
• Transition to chaos in extended systems and their quantum impurity models
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
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• Unveiling hidden features of the Kitaev model through a complex-network analysis
• Entanglement entropy as a probe of topological phase transitions
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments