Quantum simulations and many-body physics with light

Abstract

In this review we discuss the works in the area of quantum simulation and many-body physics with light, from the early proposals on equilibrium models to the more recent works in driven dissipative platforms. We start by describing the founding works on Jaynes-Cummings-Hubbard model and the corresponding photon-blockade induced Mott transitions and continue by discussing the proposals to simulate effective spin models and fractional quantum Hall states in coupled resonator arrays (CRAs). We also analyze the recent efforts to study out-of-equilibrium many-body effects using driven CRAs, including the predictions for photon fermionization and crystallization in driven rings of CRAs as well as other dynamical and transient phenomena. We try to summarise some of the relatively recent results predicting exotic phases such as super-solidity and Majorana like modes and then shift our attention to developments involving one dimensional nonlinear slow light setups. There the simulation of strongly correlated phases characterising Tonks-Girardeau gases, Luttinger liquids, and interacting relativistic fermionic models is described. We review the major theory results and also briefly outline recent developments in ongoing experimental efforts involving different platforms in circuit QED, photonic crystals and nanophotonic fibers interfaced with cold atoms.

36 pages. Invited review. Comments welcome

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• Cooperative atom-light interaction in a blockaded Rydberg ensemble
• Single photons from coupled quantum modes
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• On the origin of strong photon antibunching in weakly nonlinear photonic molecules
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Storage and control of optical photons using Rydberg polaritons
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• Implementation of Spin Hamiltonians in Optical Lattices
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• Long-range interactions and entanglement of slow single-photon pulses
• Engineering spin-orbit coupling for photons and polaritons in microstructures
• Observing Zitterbewegung in Ultracold Atoms
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Quantum simulation of the Klein paradox with trapped ions
• Crystallization of strongly interacting photons in a nonlinear optical fiber
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• The quantum optical Josephson interferometer
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Fractional Quantum Hall State in Coupled Cavities
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Cold Atom Physics Using Ultra-Thin Optical Fibers: Light-Induced Dipole Forces and Surface Interactions
• Effective spin systems in coupled micro-cavities
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Observation and measurement of "giant" dispersive optical non-linearities in an ensemble of cold Rydberg atoms
• Many-body phenomena in QED-cavity arrays
• Stationary Light Pulses without Bragg Gratings
• Stationary Light Pulses in Cold Atomic Media
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Quantum information processing with single photons and atomic ensembles in microwave coplanar waveguide resonators
• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Strong photon non-linearities and photonic Mott insulators
• Quasi-relativistic behavior of cold atoms in light fields
• Spin-charge separation in two-component Bose-gases
• Non-equilibrium delocalization-localization transition of photons in circuit QED
• Design and analysis of photonic crystal coupled cavity arrays for quantum simulation
• Induced self-stabilization in fractional quantum Hall states of light
• Strongly interacting photons in hollow-core waveguides
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Photon correlations in a two-site non-linear cavity system under coherent drive and dissipation
• Klein tunneling and Dirac potentials in trapped ions
• Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
• Heralded generation of entanglement with coupled cavities
• Trapping of Ultracold Atoms in a Hollow-core Photonic Crystal Fiber
• Quantum phase transitions in photonic cavities with two-level systems
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Dark-State Polaritons for multi-component and stationary light fields
• Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
• Bose-Einstein condensation of stationary-light polaritons
• Non-equilibrium many-body effects in driven nonlinear resonator arrays
• Photon transport in a dissipative chain of nonlinear cavities
• Emission characteristics of laser-driven dissipative coupled-cavity systems
• Confining stationary light: Dirac dynamics and Klein tunneling
• Simulation of high-spin Heisenberg models in coupled cavities
• Reproducing spin lattice models in strongly coupled atom-cavity systems
• Nonequilibrium phases in hybrid arrays with flux qubits and NV centers
• Quantum simulation of artificial Abelian gauge field using nitrogen-vacancy center ensembles coupled to superconducting resonators
• Efficient Guiding of Cold Atoms though a Photonic Band Gap Fiber
• Coupled cavity QED for coherent control of photon transmission (I): Green function approach for hybrid systems with two-level doping
• Atomic Entanglement vs Photonic Visibility for Quantum Criticality of Hybrid System
• Mimicking interacting relativistic theories with stationary pulses of light
• Master equation approach for interacting slow- and stationary-light polaritons
• Effective generation of Ising interaction and cluster states in coupled microcavities

Cited by in corpus (217)

• Topological Photonics
• Microwave photonics with superconducting quantum circuits
• Nonlinear topological photonics
• Quantum Simulators: Architectures and Opportunities
• Spectral signatures of many-body localization with interacting photons
• Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
• A Dissipatively Stabilized Mott Insulator of Photons
• A subradiant optical mirror formed by a single structured atomic layer
• Engineered Dissipation for Quantum Information Science
• Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
• Variational neural network ansatz for steady states in open quantum systems
• Tunable-range, photon-mediated atomic interactions in multimode cavity QED
• Critical dynamical properties of a first-order dissipative phase transition
• Quantum-correlated photons from semiconductor cavity polaritons
• Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
• Collective super- and subradiant dynamics between distant optical quantum emitters
• Implementation of Conditional-Phase Gates based on tunable ZZ-Interactions
• Emergent equilibrium in many-body optical bistability
• Superconducting metamaterials for waveguide quantum electrodynamics
• Quantum critical regime in a quadratically-driven nonlinear photonic lattice
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Tuneable hopping and nonlinear cross-Kerr interactions in a high-coherence superconducting circuit
• Symmetry breaking and error correction in open quantum systems
• Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
• Theoretical methods for ultrastrong light-matter interactions
• Conventional and unconventional photon statistics
• Multistability of Driven-Dissipative Quantum Spins
• A quantum transducer using a parametric driven-dissipative phase transition
• Coherent and dissipative dynamics at quantum phase transitions
• Quantum bits with Josephson junctions
• Extensible quantum simulation architecture based on atom-photon bound states in an array of high-impedance resonators
• A dissipative time crystal in an asymmetric non-linear photonic dimer
• Atomic-waveguide quantum electrodynamics
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• Autoregressive Transformer Neural Network for Simulating Open Quantum Systems via a Probabilistic Formulation
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Critical Response of a Quantum van der Pol Oscillator
• Cavity QED engineering of spin dynamics and squeezing in a spinor gas
• Coherent nonlinear optics of quantum emitters in nanophotonic waveguides
• Quantum tricriticality of chiral-coherent phase in quantum Rabi triangle
• On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
• Trapping single atoms on a nanophotonic circuit with configurable tweezer lattices
• Topological Marker Currents in Chern Insulators
• Stabilizing strongly correlated photon fluids with non-Markovian reservoirs
• Universality in driven open quantum matter
• Interaction between giant atoms in a one-dimensional structured environment
• Cavity nonlinear optics with layered materials
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Observation of thermalization and information scrambling in a superconducting quantum processor
• Exciton-exciton interaction beyond the hydrogenic picture in a MoSe${}_2$ monolayer in the strong light-matter coupling regime
• Linked cluster expansions for open quantum systems on a lattice
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Geometric control of collective spontaneous emission
• Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition
• Temporal and spectral manipulations of correlated photons using a time-lens
• Observation of the Crossover from Photon Ordering to Delocalization in Tunably Coupled Resonators
• Universal power law decay in the dynamic hysteresis of an optical cavity with non-instantaneous photon-photon interactions
• Understanding the quantum Rabi ring using analogies to quantum magnetism
• A driven-dissipative quantum Monte Carlo method for open quantum systems
• Topological two-dimensional Floquet lattice on a single superconducting qubit
• Symmetrized Liouvillian Gap in Markovian Open Quantum Systems
• Heralded Bell State of Dissipative Qubits Using Classical Light in a Waveguide
• Gaussian trajectory approach to dissipative phase transitions: the case of quadratically driven photonic lattices
• Coherent coupling of single molecules to on-chip ring resonators
• Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice
• Solving the Liouvillian Gap with Artificial Neural Networks
• Giant Enhancement of Unconventional Photon Blockade in a Dimer Chain
• Non-Markovian Quantum Dynamics in Strongly Coupled Multimode Cavities Conditioned on Continuous Measurement
• Dynamical scaling of correlations generated by short- and long-range dissipation
• Coherently driven microcavity-polaritons and the question of superfluidity
• Spontaneous symmetry breaking in a coherently driven nanophotonic Bose-Hubbard dimer
• Absorbing phase transition with a continuously varying exponent in a quantum contact process: a neural network approach
• Dissipative phase transitions in the fully-connected Ising model with $p$-spin interaction
• Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
• Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer
• Two coupled nonlinear cavities in a driven-dissipative environment
• The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos
• Many-Body Open Quantum Systems
• Formation of Matter-Wave Polaritons in an Optical Lattice
• Interferences between Bogoliubov excitations and their impact on the evidence of superfluidity in a paraxial fluid of light
• Rydberg excitation of cold atoms inside a hollow core fiber
• Persistent currents by reservoir engineering
• Gutzwiller Monte Carlo approach for a critical dissipative spin model
• Optically bistable driven-dissipative Bose-Hubbard dimer: Gutzwiller approaches and entanglement
• Nonlinear optics in 2D materials: from classical to quantum
• Chiral Interaction Induced Near-Perfect Photon Blockade
• Quantum nonlinear metasurfaces from dual arrays of ultracold atoms
• Multiple Emitters in a Waveguide: Non-Reciprocity and Correlated Photons at Perfect Elastic Transmission
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Quantum Interference and Complex Photon Statistics in Waveguide QED
• Fluorescence spectrum and thermalization in a driven coupled cavity array
• Self-Ordering of Individual Photons in Waveguide QED and Rydberg-Atom Arrays
• Quantum critical systems with dissipative boundaries
• Dynamical hysteresis properties of the driven-dissipative Bose-Hubbard model with a Gutzwiller Monte Carlo approach
• Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
• A chiral one-dimensional atom using a quantum dot in an open microcavity
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Quantum chaos driven by long-range waveguide-mediated interactions
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Diagrammatic Approach to Multiphoton Scattering
• Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
• Quantum simulation with fully coherent dipole--dipole-interactions mediated by three-dimensional subwavelength atomic arrays
• Simulating frustrated antiferromagnets with quadratically driven QED cavities
• Spontaneous Beliaev-Landau scattering out of equilibrium
• Cluster Gutzwiller Monte Carlo approach for a critical dissipative spin model
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Stopped and stationary light at the single-photon level inside a hollow-core fiber
• Exact $k$-body representation of the Jaynes-Cummings interaction in the dressed basis: Insight into many-body phenomena with light
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Dynamical blockade in a bosonic Josephson junction using optimal coupling
• Pump-and-probe optical transmission phase shift as a quantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide
• Towards the real-time evolution of gauge-invariant ${\mathbb{Z}}_2$ and $U(1)$ quantum link models on NISQ Hardware with error-mitigation
• Real-space probe for lattice quasiholes
• Stationary light in atomic media
• Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
• Postquench prethermalization in a disordered quantum fluid of light
• Photon pair condensation by engineered dissipation
• Topological pumping of quantum correlations
• A quantum algorithm for the direct estimation of the steady state of open quantum systems
• Strongly interacting photons in 2D waveguide QED
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• Topological photonics on superconducting quantum circuits with parametric couplings
• Witnessing quantum chaos using observational entropy
• Interaction-induced transparency for strong-coupling polaritons
• Photon-Number-Dependent Hamiltonian Engineering for Cavities
• Spin-orbit-coupled fluids of light in bulk nonlinear media
• Multiband and array effects in matter-wave-based waveguide QED
• Atomic spin-wave control and spin-dependent kicks with shaped subnanosecond pulses
• Realisation of a Coherent and Efficient One-Dimensional Atom
• Loading and spatially-resolved characterization of a cold atomic ensemble inside a hollow-core fiber
• Qubit Decoherence and Symmetry Restoration through Real-Time Instantons
• Negative cavity photon spectral function in an optomechanical system with two parametrically-driven mechanical modes
• Multimode-polariton superradiance via Floquet engineering
• Observational entropic study of Anderson localization
• Ergodic-localized junctions in periodically-driven systems
• Logical measurement-based quantum computation in circuit-QED
• Coupled rate-equation hydrodynamic simulation of a Rydberg gas Gaussian ellipsoid: Classical avalanche and evolution to molecular plasma
• Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Probing Site-Resolved Current in Strongly Interacting Superconducting Circuit Lattices
• The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
• Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition
• In-situ tunable nonlinearity and competing signal paths in coupled superconducting resonators
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Degenerate Raman sideband cooling of 40K atoms
• Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
• Few photon scattering on Bose-Hubbard lattices
• Nonequilibrium dynamics of the Jaynes-Cummings dimer
• FDTD: solving 1+1D delay PDE in parallel
• Emergent light crystal from frustration and pump engineering
• Collective optical properties of moiré excitons
• Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Matrix Product States with adaptive global symmetries
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• First-order transitions in spin chains coupled to quantum baths
• Interplay between polarization and quantum correlations of confined polaritons
• Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures
• Thermal resonance-enhanced transparency in room temperature Rydberg gases
• Superfluid-Mott-insulator phase transition of light in a two-mode cavity array with ultrastrong coupling
• Non-equilibrium steady states and critical slowing down in the dissipative Bose-Hubbard model
• Superfluid-Mott insulator quantum phase transition in a cavity optomagnonic system
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• Emergent photon pair propagation in circuit QED with superconducting processors
• Quantum tomography of Rydberg atom graphs by configurable ancillas
• Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics
• Relativistic Anyon Beam: Construction and Properties
• Nucleation of superfluid-light domains in a quenched dynamics
• Population Dynamics of Schrödinger Cats
• State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
• Chiral Quantum Phases and Tricriticality in a Dicke Triangle
• Quantum phase transitions of light in a dissipative Dicke-Bose-Hubbard model
• Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
• Slow melting of a disordered quantum crystal
• Spontaneous symmetry breaking in a $SO(3)$ non-Abelian lattice gauge theory in $2+1$D with quantum algorithms
• Inducing critical phenomena in spin chains through sparse alternating fields
• Many-Body Entanglement in Solid-State Emitters
• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
• Localization to delocalization transition in a driven nonlinear cavity array
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Transition to chaos in extended systems and their quantum impurity models
• Optomechanical approach to controlling the temperature and chemical potential of light
• Entanglement dynamics in dissipative photonic Mott insulators
• Dynamics of a periodic $XY$ chain coupled to a photon mode
• A modified quasi-classical analysis to capture the effects of strong interaction in open QED lattices
• Quantum simulation of discrete curved spacetime by the Bose-Hubbard model: from analog acoustic black hole to quantum phase transition
• Quantum transient heat transport in the hyper-parametric oscillator
• Modelling quantum photonics on a quantum computer
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
• Engineering Gaussian states of light from a planar microcavity
• Investigating Lipkin-Meshkov-Glick Model and Criticality-Enhanced Metrology in a Coherent Ising Machine
• Spontaneous superradiant photon current
• Exact dynamics and bound states of a cavity coupled to a two-dimensional reservoir
• Quantum walk on a square lattice with identical particles
• Configurable photonic simulator for quantum field dynamics
• Environmental Quantum States Trigger Emission in Nonlinear Photonics
• Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice
• Resolving mean-field solutions of dissipative phase transitions using permutational symmetry
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory
• Determination of the critical exponents in dissipative phase transitions: Coherent anomaly approach
• Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach
• Dynamical complexity of non-Gaussian many-body systems with dissipation
• Inhomogeneous mass trap for dark-state polaritons in atomic media
• A solvable model for strongly interacting nonequilibrium excitons
• Quantum reservoir computing for predicting and characterizing chaotic maps
• Photonic quantum Hall effects
• A graphene edge-mediated quantum gate
• Photonic Kondo model
• Quantum speedup from nonclassical polarization
• Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity
• Rényi entropy of the permutationally invariant part of the ground state across a quantum phase transition