Exploring the many-body localization transition in two dimensions
arXiv:1604.04178 · doi:10.1126/science.aaf8834
Abstract
One fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. Recently, the emergence of many-body localized systems has questioned this concept, challenging our understanding of the connection between statistical physics and quantum mechanics. Here we report on the observation of a many-body localization transition between thermal and localized phases for bosons in a two-dimensional disordered optical lattice. With our single site resolved measurements we track the relaxation dynamics of an initially prepared out-of-equilibrium density pattern and find strong evidence for a diverging length scale when approaching the localization transition. Our experiments mark the first demonstration and in-depth characterization of many-body localization in a regime not accessible with state-of-the-art simulations on classical computers.
10 pages and 9 figures
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- Feedback-stabilized dynamical steady states in the Bose-Hubbard model
- Flow Equations for Disordered Floquet Systems
- Detection of a Disorder-Induced Bose-Einstein Condensate in a Quantum Spin Material at High Magnetic Fields
- Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
- Entanglement dynamics in critical random quantum Ising chain with perturbations
- Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
- Information-Theoretic Memory Scaling in the Many-Body Localization Transition
- Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
- Connecting dynamical quantum phase transitions and topological steady-state transitions by tuning the energy gap
- Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
- Many-body localization with synthetic gauge fields in disordered Hubbard chains
- Many-body localization in one dimensional optical lattice with speckle disorder
- High speed determination of laser wavelength using Poincaré descriptors of speckle
- Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
- Tower of quantum scars in a partially many-body localized system
- Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations
- Reliability of lattice gauge theories in the thermodynamic limit
- Classification of symmetry-protected topological many-body localized phases in one dimension
- Implementation of a stable, high-power optical lattice for quantum gas microscopy
- Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths
- Quantum jumps in driven-dissipative disordered many-body systems
- Quantum aging and dynamical universality in the long-range model
- Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
- Kibble-Zurek scaling in one-dimensional localization transitions
- Hidden self-duality and exact mobility edges in quasiperiodic network models
- Mobility edge of the two dimensional Bose-Hubbard model
- Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force
- Ergodic-localized junctions in periodically-driven systems
- Localized Virtual Purification
- Localization of a mobile impurity interacting with an Anderson insulator
- Chaos and thermalization in small quantum systems
- Mott, Floquet, and the response of periodically driven Anderson insulators
- Absence of localization in interacting spin chains with a discrete symmetry
- Spatio-temporal heterogeneity of entanglement in many-body localized systems
- Many-body Localization in Clean Chains with Long-Range Interactions
- Identifying Correlation Clusters in Many-Body Localized Systems
- Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
- Topological Anderson insulating phases in the interacting Haldane model
- Quench Spectroscopy of a Disordered Quantum System
- Initial State Dependent Dynamics Across Many-body Localization Transition
- Quantum simulating the electron transport in quantum cascade laser structures
- Anderson localization of walking droplets
- Quantum supremacy and quantum phase transitions
- Quantum chaos in interacting Bose-Bose mixtures
- Large scale behavior of the energy spectra of the quantum random antiferromagnetic Ising chain with mixed transverse and longitudinal fields
- A stabilization mechanism for many-body localization in two dimensions
- Dynamics and Asymptotics of Correlations in a Many-Body Localized System
- Eigenstate Fluctuation Theorem in the Short and Long Time Regimes
- Domain wall melting in spin-1 chains
- Local Operator Entanglement in Spin Chains
- Validity of Gross-Pitaevskii solutions of harmonically confined BEC gases in reduced dimensions
- Einstein relation for a driven disordered quantum chain in subdiffusive regime
- Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Breaking the chains: extreme value statistics and localization in random spin chains
- Localization of interacting Fermi gases in quasiperiodic potentials
- Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
- Probing Site-Resolved Current in Strongly Interacting Superconducting Circuit Lattices
- Signatures of many-body localization of quasiparticles in a flat band superconductor
- Emergent dimerization and localization in disordered quantum chains
- Ramsey imaging of optical traps
- Quantifying Quantum Computational Advantage on a Processor of Ultracold Atoms
- Topological order versus many-body localization in periodically modulated spin chains
- Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
- Eigenstate properties of the disordered Bose-Hubbard chain
- Observation of anisotropy-independent magnetization dynamics in spatially disordered Heisenberg spin systems
- Many-body localization in continuum systems: two-dimensional bosons
- Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
- Tower of two-dimensional scar states in a localized system
- Classical route to ergodicity and scarring in collective quantum systems
- Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition
- Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
- Amorphous quantum magnets in a two-dimensional Rydberg atom array
- Using a Feedback-Based Quantum Algorithm to Analyze the Critical Properties of the ANNNI Model Without Classical Optimization
- Boltzmann transport theory for many body localization
- Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
- Magnetic phases of spin-1 lattice gases with random interactions
- Stark-Many body localization in interacting infinite dimensional systems
- Decay of density waves in coupled one-dimensional many-body-localized systems
- Bound state and Localization of excitation in many-body open systems
- Efficient Classical Shadow Tomography through Many-body Localization Dynamics
- Perturbative instability of non-ergodic phases in non-Abelian quantum chains
- Memories of initial states and density imbalance in dynamics of interacting disordered systems
- Thermalization propagation front and robustness against avalanches in localized systems
- Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
- Roughening dynamics of interfaces in the two-dimensional quantum Ising model
- Microwave preparation of two-dimensional fermionic spin mixtures
- Resistivity and its fluctuations in disordered many-body systems: from chains to planes
- Harnessing symmetry-protected topological order for quantum memories
- Many-body localization crossover is sharper in quasiperiodic spin chains
- Partially Unitary Learning
- Fractional resonances and prethermal states in Floquet systems
- Indication of critical scaling in time during the relaxation of an open quantum system
- Cooling schemes for two-component fermions in layered optical lattices
- Bose-Einstein condensates in an eightfold symmetric optical lattice
- Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
- Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
- Experimentally accessible witnesses of many-body localisation
- One-dimensional Kronig-Penney superlattices at the LaAlO/SrTiO interface
- Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
- Unveiling Eigenstate Thermalization for Non-Hermitian systems
- Bounding the finite-size error of quantum many-body dynamics simulations
- Quantum advantage from energy measurements of many-body quantum systems
- Quantum glass of interacting bosons with off-diagonal disorder
- Slow scrambling and hidden integrability in a random rotor model
- Robustness of Stark many-body localization in the - Heisenberg model
- Crossover from a delocalized to localized atomic excitation in an atom-waveguide interface
- Non-thermal dynamics in a spin-1/2 lattice Schwinger model
- Quantum supremacy in driven quantum many-body systems
- Understanding the dynamics of randomly positioned dipolar spin ensembles
- Many-body delocalization with random vector potentials
- Efficiency of fermionic quantum distillation
- Quantum turnstiles for robust measurement of full counting statistics
- Analog simulation of high harmonic generation in atoms
- Signature of Many-Body Localization of Phonons in Strongly Disordered Superlattices
- Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
- Signatures of the interplay between chaos and local criticality on the dynamics of scrambling in many-body systems
- Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
- Quantum Adiabatic Doping with Incommensurate Optical Lattices
- Many-body localization in Landau level subbands
- Many-body localization of 1D disordered impenetrable two-component fermions
- A learning algorithm with emergent scaling behavior for classifying phase transitions
- Read-out of Quasi-periodic Systems using Qubits
- Single spin probe of Many-Body Localization
- Unconventional localization phenomena in a spatially non-uniform disordered material
- On low eigevalues of the entanglement Hamiltonian, localization length, and rare regions in disordered interacting one-dimensional systems
- Many-body localization on finite generation fractal lattices
- Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
- Anderson Localization for Very Strong Speckle Disorder
- Probing Hilbert space fragmentation and the block inverse participation ratio
- A Multi-Purpose Platform for Analog Quantum Simulation
- Many-body localization regime for cavity induced long-range interacting models
- The Measurement-induced Transition in Long-range Interacting Quantum Circuits
- Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
- Superglass formation in an atomic BEC with competing long-range interactions
- Localization due to interaction-enhanced disorder in bosonic systems
- Cat states carrying long-range correlations in the many-body localized phase
- Fate of Algebraic Many-Body Localization under driving
- Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
- Entanglement entropy and localization in disordered quantum chains
- Dynamical potentials for non-equilibrium quantum many-body phases
- Effective realization of random magnetic fields in compounds with large single-ion anisotropy
- Quantum reservoir probing: an inverse paradigm of quantum reservoir computing for exploring quantum many-body physics
- Time-dependent Neural Galerkin Method for Quantum Dynamics
- Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
- Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
- Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench
- Many-body localization and delocalization dynamics in the thermodynamic limit
- Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
- Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
- Many-body chaos in the antiferromagnetic quantum critical metal
- Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
- Emergent statistical bubble localization in a Z2 lattice gauge theory
- Dynamics of a Lattice Gauge Theory with Fermionic Matter -- Minimal Quantum Simulator with Time-Dependent Impurities in Ultracold Gases
- Stable interaction-induced Anderson-like localization embedded in standing waves
- How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
- Impurity coupled to a lattice with disorder
- Specialising Neural-network Quantum States for the Bose Hubbard Model
- Anderson localisation in steady states of microcavity polaritons
- Decay-dephasing-induced steady states in bosonic Rydberg-excited quantum gases in an optical lattice
- Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
- Prethermalization of light and matter in cavity-coupled Rydberg arrays
- Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented Truncated Wigner method
- Individually tunable tunnelling coefficients in optical lattices using local periodic driving
- Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors
- Renormalization view on resonance proliferation between many-body localized phases
- Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations
- Key Observable for Linear Thermalization
- Boosting entanglement growth of many-body localization by superpositions of disorder
- Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
- Non-equilibrium dynamics of bosons with dipole symmetry: Large- Keldysh approach
- Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
- Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
- Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices
- Simulating spin systems with Majorana networks
- Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
- Long-ranged spectral correlations in eigenstate phases
- Quantum Inverse Freezing and Mirror-Glass Order
- Quantum Enhancement of Thermalization
- Topology and many-body localization
- Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
- Localization of Pairs in One-Dimensional Quasicrystals with Power-Law Hopping
- Two-dimensional correlation propagation dynamics with a cluster discrete phase-space method
- Dissipation-Induced Mobility and Coherence in Frustrated Lattices
- Zonal estimators for quasiperiodic bosonic many-body phases
- Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
- Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
- Quantum supremacy with analog quantum processors for material science and machine learning
- Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
- Time-dependent variational principle for open quantum systems with artificial neural networks
- mm-wave Rydberg-Rydberg resonances as a witness of intermolecular coupling in the arrested relaxation of a molecular ultracold plasma
- Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
- Instability of QBC systems to Topological Anderson Insulating phases
- Expanding variational quantum eigensolvers to larger systems by dividing the calculations between classical and quantum hardware
- Non-equilibrium dynamics of fluctuations in an ultra-cold atomic mixture
- Analogue Quantum Simulation: A Philosophical Prospectus
- Dynamical detection of mean-field topological phases in an interacting Chern insulator
- Slow melting of a disordered quantum crystal
- Heat transport in an optical lattice via Markovian feedback control
- Stable many-body resonances in open quantum systems
- Logarithmic growth of local entropy and total correlations in many-body localized dynamics
- Localization and interactions in topological and non-topological bands in two dimensions
- Characterizing quantum gases in time-controlled disorder realizations using cross-correlations of density distributions
- The eigenstate distribution fluctuation from thermal to localized transitions
- Self-Supervised Ensemble Learning: A Universal Method for Phase Transition Classification of Many-Body Systems
- Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution
- Accessing eigenstate spin-glass order from reduced density matrices
- Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
- Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model
- Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective
- Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
- Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
- How to realize compact and non-compact localized states in disorder-free hypercube networks
- Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
- Suppression of Quantum Correlations in a Clean-Disordered Atom-Nanophotonic Interface
- Detecting Many-Body-Localization Length with Cold Atoms
- Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
- Probing Entanglement Dynamics in the SYK Model using Quantum Computers
- Interacting quasiperiodic spin chains in the prethermal regime
- Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
- Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
- Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
- Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
- Emerging (2+1)D massive graviton in graphene-like systems
- How to engineer a quantum wavefunction
- Thermal avalanches in isolated many-body localized systems
- Propagation of two-particle correlations across the chaotic phase for interacting bosons
- Memory effects in the density-wave imbalance in delocalized disordered systems
- Relaxation of ferromagnetic domains in a disordered lattice in 2D
- Ergodicity breaking transition in zero dimensions
- Signatures of many-body localization and metastability by weak perturbation
- Quantum simulation of quantum mechanical system with spatial noncommutativity
- Multibody expansion of the local integrals of motion: How many pairs of particle-hole do we really need to describe the quasiparticles in the many-body localized phase?
- Universal Hamiltonian simulators in one and two dimensions
- Flux-driven quantum spin liquids in kagome optical lattices
- Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
- Adaptively partitioned analog quantum simulation on near-term quantum computers: The nonclassical free-induction decay of NV centers in diamond
- Coherent backscattering in the Fock space of ultracold bosonic atoms
- Critical quantum dynamics of observables at eigenstate transitions
- Many-body mobility edges in 1D and 2D revealed by convolutional neural networks
- Probing the many-body localized spin-glass phase through quench dynamics
- Characterization of the chaotic phase in the tilted Bose-Hubbard model
- Coherence, Transport, and Chaos in 1D Bose-Hubbard Model: Disorder vs. Stark Potential
- Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
- Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
- One- and Two-Particle Problem with Correlated Disorder Potential
- Survival Probability, Particle Imbalance, and Their Relationship in Quadratic Models
- Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins
- Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
- Sampling and the complexity of nature
- Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
- Delocalization in a partially disordered interacting many-body system
- Optically pumped spin polarization as a probe of many-body thermalization
- Non-equilibrium critical scaling and universality in a quantum simulator
- Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
- Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
- Spatiotemporal Quenches in Long-Range Hamiltonians
- Critical behavior of the specific heat in Ti-Si amorphous alloys at the metal-insulator transition
- Achieving the quantum field theory limit in far-from-equilibrium quantum link models
- Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations
- Qualifying quantum approaches for hard industrial optimization problems. A case study in the field of smart-charging of electric vehicles
- Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
- Liouville Fock state lattices and potential simulators
- Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
- Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
- Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
- Dynamics of Interacting Bosons on the Sawtooth Lattice with a Flat Band
- Quantum-Classical Computing for Time-Dependent Ion-Atom Collision Dynamics: Applications to Charge Transfer Cross Section Simulations
- Robustness and Independence of the Eigenstates with respect to the Boundary Conditions across a Delocalization-Localization Phase Transition
- Critical Dynamics of the Anderson Transition on Small-World Graphs
- Many-body localization in a slowly varying potential
- Pure states statistical mechanics: On its foundations and applications to quantum gravity
- 2D Anderson Localization and KPZ sub-Universality Classes : sensitivity to boundary conditions and insensitivity to symmetry classes
- Beyond the imbalance: site-resolved dynamics probing resonances in many-body localization
- Coherently synchronized oscillations in many-body localization
- Self-consistent inclusion of disorder in the BCS-BEC crossover near the critical temperature
- Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
- Scaling Theory of Few-Particle Delocalization
- Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: a relay-race mechanism
- Theoretical study on thermalization in isolated quantum systems
- From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
- Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
- Universal fluctuations of localized two interacting particles in one dimension
- Anderson and many-body localization in the presence of spatially correlated classical noise
- Two-dimensional many-body localized systems coupled to a heat bath
- Critical localization with Van der Waals interactions
- Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms
- Exploring the properties of quantum scars in a toy model
- Machine Learning out of equilibrium correlations in the Bose-Hubbard model
- Heat percolation in many-body flatband localizing systems
- Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes
- AC Conductivity Crossover in Localized Superconductors
- Design Principles for Enhanced Quantum Transport with Site-Dependent Noise
- Generation of robust entangled states in a non-hermitian periodically driven two-band Bose-Hubbard system
- Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
- Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices
- Enhancing Scalability of a Matrix-Free Eigensolver for Studying Many-Body Localization
- Disorder-protected topological entropy after a quantum quench
- Quantum annealing and condensed matter physics
- Robust quantum many-body scars in lattice gauge theories