Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator

Abstract

Motivated by far-reaching applications ranging from quantum simulations of complex processes in physics and chemistry to quantum information processing, a broad effort is currently underway to build large-scale programmable quantum systems. Such systems provide unique insights into strongly correlated quantum matter, while at the same time enabling new methods for computation and metrology. Here, we demonstrate a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms, featuring strong interactions controlled via coherent atomic excitation into Rydberg states. Using this approach, we realize a quantum spin model with tunable interactions for system sizes ranging from 64 to 256 qubits. We benchmark the system by creating and characterizing high-fidelity antiferromagnetically ordered states, and demonstrate the universal properties of an Ising quantum phase transition in (2+1) dimensions. We then create and study several new quantum phases that arise from the interplay between interactions and coherent laser excitation, experimentally map the phase diagram, and investigate the role of quantum fluctuations. Offering a new lens into the study of complex quantum matter, these observations pave the way for investigations of exotic quantum phases, non-equilibrium entanglement dynamics, and hardware-efficient realization of quantum algorithms.

arXiv comment20 pages, 13 Figures

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• Preparing Greenberger-Horne-Zeilinger state on ground levels of neutral atoms
• Understanding the dynamics of randomly positioned dipolar spin ensembles
• Collective quantum stochastic resonance in Rydberg atoms
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• An accordion superlattice for controlling atom separation in optical potentials
• Generalized toric codes on twisted tori for quantum error correction
• First-order transitions in spin chains coupled to quantum baths
• Hamiltonian learning for 300 trapped ion qubits with long-range couplings
• Counterdiabatic Driving with Performance Guarantees
• Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
• Unsupervised Learning of Rydberg Atom Array Phase Diagram with Siamese Neural Networks
• Thermal critical dynamics from equilibrium quantum fluctuations
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Dynamics of disordered quantum systems with two- and three-dimensional tensor networks
• Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
• Quantum state preparation of topological chiral spin liquids via Floquet engineering
• Enhanced dark-state sideband cooling in trapped atoms via photon-mediated dipole-dipole interactions
• Universal Counterdiabatic Driving
• Superglass formation in an atomic BEC with competing long-range interactions
• A learning algorithm with emergent scaling behavior for classifying phase transitions
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• Inferring Markovian quantum master equations of few-body observables in interacting spin chains
• The promises and challenges of many-body quantum technologies: a focus on quantum engines
• Classification and emergence of quantum spin liquids in chiral Rydberg models
• Quantum gates between distant atoms mediated by a Rydberg excitation antiferromagnet
• Engineering Rydberg-pair interactions in divalent atoms with hyperfine-split ionization thresholds
• Long-range $CC\Phi$ gates via radio-frequency-induced Förster resonances
• Metrological usefulness of entanglement and nonlinear Hamiltonians
• Navigating the noise-depth tradeoff in adiabatic quantum circuits
• Quantum Electronic Circuits for Multicritical Ising Models
• Variational quantum simulation of long-range interacting systems
• Quantum circuits for toric code and X-cube fracton model
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• Long-lived oscillations of metastable states in neutral atom systems
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Dissipative quantum many-body dynamics in (1+1)D quantum cellular automata and quantum neural networks
• Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures
• Topology of Discrete Quantum Feedback Control
• Quantum Optimization on Rydberg Atom Arrays with Arbitrary Connectivity: Gadgets Limitations and a Heuristic Approach
• Microsecond-scale high-survival and number-resolved detection of ytterbium atom arrays
• Lattice Defects in Rydberg Atom Arrays
• Projected ensemble in a system with conserved charges with local support
• Plane-selective manipulations of nuclear spin qubits in a three-dimensional optical tweezer array
• Efficiently measuring $d$-wave pairing and beyond in quantum gas microscopes
• Robust Quantum Reservoir Computing for Molecular Property Prediction
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Rapid stochastic spatial light modulator calibration and pixel crosstalk optimisation
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Properties of Krylov state complexity in qubit dynamics
• Simple Hamiltonian dynamics is a powerful quantum processing resource
• Load Balancing For High Performance Computing Using Quantum Annealing
• Quantum critical engine at finite temperatures
• Quantum error mitigation by layerwise Richardson extrapolation
• Depth-Optimal Addressing of 2D Qubit Array with 1D Controls Based on Exact Binary Matrix Factorization
• Coherence-preserving cooling of nuclear spin qubits in a weak magnetic field
• Quantum hard disks on a lattice
• All product eigenstates in Heisenberg models from a graphical construction
• Tuning excitation transport in a dissipative Rydberg ring
• Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms
• Limitations of variational quantum algorithms: a quantum optimal transport approach
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Variational Neural and Tensor Network Approximations of Thermal States
• Reducing Circuit Depth in Quantum State Preparation for Quantum Simulation Using Measurements and Feedforward
• Geodesic Algorithm for Unitary Gate Design with Time-Independent Hamiltonians
• Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
• Preparation of ultra-cold atomic-ensemble arrays using time-multiplexed optical tweezers
• Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
• A protocol to characterize errors in quantum simulation of many-body physics
• Queued quantum collision models
• Experimental demonstration of spontaneous symmetry breaking with emergent multi-qubit entanglement
• High-fidelity dimer excitations using quantum hardware
• Quantum dynamics of a fully-blockaded Rydberg atom ensemble
• Emergent disorder and sub-ballistic dynamics in quantum simulations of the Ising model using Rydberg atom arrays
• Test and characterization of multilayer ion traps on fused silica
• Lower Bounds on Learning Pauli Channels with Individual Measurements
• Volcano Architecture for Scalable Quantum Processor Units
• Extracting Off-Diagonal Order from Diagonal Basis Measurements
• Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations
• Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
• Lee-Yang zeros in the Rydberg atoms
• Mitigation of birefringence in cavity-based quantum networks using frequency-encoded photons
• Engineering holography with stabilizer graph codes
• Universal quantum computation using atoms in cross-cavity systems
• Learning topological states from randomized measurements using variational tensor network tomography
• Error-budgeting for a controlled-phase gate with strontium-88 Rydberg atoms
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices
• Symmetry: a fundamental resource for quantum coherence and metrology
• Universal gates for a metastable qubit in strontium-88
• Adiabatic echo protocols for robust quantum many-body state preparation
• Solvable Quantum Circuits in Tree+1 Dimensions
• Driven Critical Dynamics in Tricitical Point
• Spin-glass quantum phase transition in amorphous arrays of Rydberg atoms
• Generalized Gibbs ensembles in weakly interacting dissipative systems and digital quantum computers
• Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states
• Approximating maximum independent set on Rydberg atom arrays using local detunings
• Quantum Reservoir Computing for Realized Volatility Forecasting
• Dark spin-cats as biased qubits
• Time-dependent variational principle for open quantum systems with artificial neural networks
• Classical fully-packed loop model with attractive interactions on the square lattice
• Probing False Vacuum Decay and Bubble Nucleation in a Rydberg Atom Array
• Dynamical spatial light modulation in the ultraviolet spectral range
• Variational manifolds for ground states and scarred dynamics of blockade-constrained spin models on two and three dimensional lattices
• Late-time ensembles of quantum states in quantum chaotic systems
• Hubbard models with arbitrary structures in programmable optical lattices
• Optimal compression of constrained quantum time evolution
• Spectral Gap Optimization for Enhanced Adiabatic State Preparation
• Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems
• Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms
• A Quantum Simulator Based on Locally Controlled Logical Systems
• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Fano Resonance in Excitation Spectroscopy and Cooling of an Optically Trapped Single Atom
• Fast nuclear-spin entangling gates compatible with large-scale atomic arrays
• Exact Model Reduction for Continuous-Time Open Quantum Dynamics
• Nonradiant multiphoton states in quantum ring oligomers
• Kibble-Zurek mechanism and errors of gapped quantum phases
• Plaquette valence bond state in spin-1/2 J1-J2 XY model on square lattice
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations
• Entanglement generation and scaling from noisy quenches across a quantum critical point
• Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
• Efficient optimization and conceptual barriers in variational finite Projected Entangled-Pair States
• Efficiently verifiable quantum advantage on near-term analog quantum simulators
• Fast atom-photon entangling gates with a superconducting coplanar waveguide
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Probing Entanglement Dynamics in the SYK Model using Quantum Computers
• Tunable two-species spin models with Rydberg atoms in circular and elliptical states
• Partial projected ensembles and spatiotemporal structure of information scrambling
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Random displacements in critical Rydberg atom arrays
• Probing spin-motion coupling of two Rydberg atoms by a Stern-Gerlach-like experiment
• Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
• Topological order in symmetric blockade structures
• Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
• Frustrated Rydberg Atom Arrays Meet Cavity-QED: Emergence of the Superradiant Clock Phase
• Efficient and robust estimation of many-qubit Hamiltonians
• Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
• Dual-species Optical tweezer for Rb and K atoms
• Engineering quantum states with neutral atoms
• Imaging a chain of strongly correlated Rydberg excitations enabled by Förster-resonance-enhanced interaction
• Universal Hamiltonian simulators in one and two dimensions
• Generation of quantum phases of matter and finding a maximum-weight independent set of unit-disk graphs using Rydberg atoms
• Engineering artificial atomic systems of giant electric dipole moment
• Quantum control without quantum states
• Surface criticality in the mixed-field Ising model with sign-inverted next-nearest-neighbor interaction
• Optimized readout strategies for neutral atom quantum processors
• Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Proposal for realizing quantum-spin systems on a two-dimensional square lattice with Dzyaloshinskii-Moriya interaction by Floquet engineering using Rydberg atoms
• Shortcuts to adiabaticity in open quantum critical systems
• Non-local resources for error correction in quantum LDPC codes
• Loop Algorithm for Quantum Transverse Ising Model in a Longitudinal Field
• Floquet dynamical chiral spin liquid at finite frequency
• Autoionization-enhanced Rydberg dressing by fast contaminant removal
• Quantum permutation puzzles with indistinguishable particles
• Supersymmetry dynamics on Rydberg atom arrays
• Parallel assembly of neutral atom arrays with an SLM using linear phase interpolation
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Optimization-based hologram design for fine optical tweezer arrays and extension of super-resolution criteria
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Information theoretic approach to readout error mitigation for quantum computers
• Tunnel-coupled optical microtraps for ultracold atoms
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• Boson sampling with ultracold atoms in a programmable optical lattice
• Qubit-Photon Bound States in Superconducting Metamaterials
• Quantized valley Hall response from local bulk density variations
• Spatiotemporal Quenches in Long-Range Hamiltonians
• Scalable Heteronuclear Architecture of Neutral Atoms Based on EIT
• Detecting prethermal Floquet phases of Rydberg atom arrays
• Learning quantum symmetries with interactive quantum-classical variational algorithms
• Continuous-wave quantum light control via engineered Rydberg-induced dephasing
• Continuous-wave all-optical single-photon transistor based on a Rydberg-atom ensemble
• Coherent excitation of three-atom entangled states near a two-body Förster resonance
• Learning topological defects formation with neural networks in a quantum phase transition
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
• Transpiling quantum assembly language circuits to a qudit form
• Rydberg-atom manipulation through strong interaction with free electrons
• CNN-Based Vortex Detection in Atomic 2D Bose Gases in the Presence of a Phononic Background
• Taming Rydberg Decay with Measurement-based Quantum Computation
• Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
• Phase transitions and remnants of fractionalization at finite temperature in the triangular lattice quantum loop model
• Single photonic qutrit in a collective Rydberg polariton
• High-fidelity multiqubit Rydberg gates via two-photon adiabatic rapid passage
• Dispersive Qubit Readout of Temperature
• Super-resolution optical trapping of multiple cold atoms
• Entanglement transitions in a boundary-driven open quantum many-body system
• Digitized counterdiabatic quantum critical dynamics
• Correcting and extending Trotterized quantum many-body dynamics
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Geometric Quantum Gates of Non-closed Paths Under Counterdiabatic Driving
• Graph Coloring via Quantum Optimization on a Rydberg-Qudit Atom Array
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice
• Deconfined quantum criticality on a triangular Rydberg array
• Tailoring interaction ranges in atom arrays
• Simulated Laser Cooling and Magneto-Optical Trapping of Group IV Atoms
• Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics
• Observation of symmetry-protected selection rules in periodically driven quantum systems
• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Interpretable representation learning of quantum data enabled by probabilistic variational autoencoders
• Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms
• Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
• Hybrid between biologically and quantum-inspired many-body states
• Dynamics of defects and interfaces for interacting quantum hard disks
• Parameterized complexity of reconfiguration of atoms
• Quantum dynamics of a spin model with an extensive degeneracy
• Do mixed states exhibit deep thermalisation?
• Magnetic Hysteresis Experiments Performed on Quantum Annealers
• Dynamical complexity of non-Gaussian many-body systems with dissipation
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Multipartite entangled states in dipolar quantum simulators
• Connection between memory performance and optical absorption in quantum reservoir computing
• Origin of Symmetry Breaking in the Grasshopper Model
• Observation of universal non-Gaussian statistics of the order parameter across a continuous phase transition
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators
• Nonequilibrium dark space phase transition
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Transversal architecture for megaquop-scale quantum simulation with neutral atoms
• Non-destructive optical read-out and manipulation of circular Rydberg atoms
• Leveraging Analog Neutral Atom Quantum Computers for Diversified Pricing in Hybrid Column Generation Frameworks
• Spin amplification in realistic systems
• Astigmatism-free 3D Optical Tweezer Control for Rapid Atom Rearrangement
• Kinetically constrained cavity QED: from blockaded ferromagnetism to long-range quantum scars
• Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols
• Hamiltonian simulation with explicit formulas for Digital-Analog Quantum Computing
• Prolegomena to a hybrid classical/Rydberg simulator for hadronization (QuPyth)
• Scaling of Computational Order Parameters in Rydberg Atom Graph States
• Noisy Monitored Quantum Circuits
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Optimizing the dynamical preparation of quantum spin lakes on the ruby lattice
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays
• Nonequilibrium phases and quantum correlations in synthetic transport models
• Quantum criticality and factorization in a constrained Rydberg spin chain
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies
• Quantum Supercritical Crossover with Dynamical Singularity
• Localization and melting of interfaces in the two-dimensional quantum Ising model
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Rényi entropy of the permutationally invariant part of the ground state across a quantum phase transition
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
• POPQC: Parallel Optimization for Quantum Circuits (Extended Version)
• All-to-all connectivity of Rydberg-atom-based quantum processors with messenger qubits
• New Pathways in Neutrino Physics via Quantum-Encoded Data Analysis
• Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields
• Super Moiré Domain Tessellations, Sliding Ferroelectricity, and Reconfigurable Quantum Dot Arrays in Twisted Trilayer Hexagonal Boron Nitride
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
• Spin vs. position conjugation in quantum simulations with atoms: application to quantum chemistry
• Emergent criticality in a constrained boson model
• Generalized pulse design in Floquet engineering: Application to interacting spin systems