Periodically Driving a Many-Body Localized Quantum System

Abstract

We experimentally study a periodically driven many-body localized system realized by interacting fermions in a one-dimensional quasi-disordered optical lattice. By preparing the system in a far-from-equilibrium state and monitoring the remains of an imprinted density pattern, we identify a localized phase at high drive frequencies and an ergodic phase at low ones. These two distinct phases are separated by a dynamical phase transition which depends on both the drive frequency and the drive strength. Our observations are quantitatively supported by numerical simulations and are directly connected to the change in the statistical properties of the effective Floquet Hamiltonian.

4 pages main text + 4 pages supplementary mat

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Many body localization and thermalization in quantum statistical mechanics
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Exploring the many-body localization transition in two dimensions
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Many-body localization in periodically driven systems
• Many-Body Localization in a Quasiperiodic System
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Periodically driven ergodic and many-body localized quantum systems
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• How periodic driving heats a disordered quantum spin chain
• Regimes of heating and dynamical response in driven many-body localized systems

Cited by in corpus (239)

• Many-body localization, thermalization, and entanglement
• Atomic quantum gases in periodically driven optical lattices
• Observation of a Discrete Time Crystal
• Many-body localization: an introduction and selected topics
• Probing entanglement in a many-body-localized system
• Time crystals: a review
• A blueprint for demonstrating quantum supremacy with superconducting qubits
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• The Ergodic Side of the Many-Body Localization Transition
• Out-of-Time-Order Correlation for Many-Body Localization
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Equilibration and Order in Quantum Floquet Matter
• Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
• Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
• Thouless time analysis of Anderson and many-body localization transitions
• Topology and Broken Symmetry in Floquet Systems
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Colloquium: Quantum and Classical Discrete Time Crystals
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Many-body quantum chaos: Analytic connection to random matrix theory
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Dicke time crystals in driven-dissipative quantum many-body systems
• Many-Body Localization in the Age of Classical Computing
• Quantum Many-Body Scars in Optical Lattices
• Observation of Floquet prethermalization in dipolar spin chains
• The isolated Heisenberg magnet as a quantum time crystal
• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Floquet prethermalization in a Bose-Hubbard system
• Time Evolution of Many-Body Localized Systems with the Flow Equation Approach
• Observing localisation in a 2D quasicrystalline optical lattice
• Unitary $n$-designs via random quenches in atomic Hubbard and Spin models: Application to the measurement of Rényi entropies
• A constructive theory of the numerically accessible many-body localized to thermal crossover
• Onset of Floquet Thermalisation
• Long-Range Prethermal Phases of Nonequilibrium Matter
• Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
• Coherent and dissipative dynamics at quantum phase transitions
• Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
• Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
• The fate of a discrete time crystal in an open system
• Anderson localization transitions with and without random potentials
• Probing symmetries of quantum many-body systems through gap ratio statistics
• Dynamics and Transport at the Threshold of Many-Body Localization
• Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
• Many-Body Localization in Spin Chain Systems with Quasiperiodic Fields
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Mixed spectra and partially extended states in a two-dimensional quasiperiodic model
• Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
• Driving induced many-body localization
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Noise-induced subdiffusion in strongly localized quantum systems
• Critical phase dualities in 1D exactly-solvable quasiperiodic models
• Dynamical Quantum Phase Transitions in Systems with Continuous Symmetry Breaking
• Multifractality without fine-tuning in a Floquet quasiperiodic chain
• One-particle density matrix characterization of many-body localization
• Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
• Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
• Counting local integrals of motion in disordered spinless-fermion and Hubbard chains
• Solving efficiently the dynamics of many-body localized systems at strong disorder
• Learning phase transitions from dynamics
• Drive Induced Delocalization in Aubry-André Model
• Avalanche induced co-existing localised and thermal regions in disordered chains
• Interaction-induced time-symmetry breaking in driven quantum oscillators
• Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
• A flow equation approach to periodically driven quantum systems
• Stability of many-body localization in Floquet systems
• Spin subdiffusion in disordered Hubbard chain
• From localization to anomalous diffusion in the dynamics of coupled kicked rotors
• Localization, topology and quantized transport in disordered Floquet systems
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Periodically Driven Sachdev-Ye-Kitaev Models
• Many-body localization caused by temporal disorder
• Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Expressibility and trainability of parameterized analog quantum systems for machine learning applications
• Floquet engineering topological many-body localized systems
• Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
• Observation of a dynamical sliding phase superfluid with P-band bosons
• Heat current rectification and mobility edges
• Periodically Driven Array of Single Rydberg Atoms
• A self-consistent Hartree-Fock approach to Many-Body Localization
• Many-body localization transition in large quantum spin chains: The mobility edge
• Spin and topological order in a periodically driven spin chain
• One-particle-density-matrix occupation spectrum of many-body localized states after a global quench
• Signature of Chaos and Delocalization in a Periodically Driven Many Body System : An Out-of-Time-Order Correlation Study
• Local integrals of motion and the quasiperiodic many-body localization transition
• Signatures of many-body localization in steady states of open quantum systems
• Dynamical localization and the effects of aperiodicity in Floquet systems
• Localization and transport in a strongly driven Anderson insulator
• Multifractality and self-averaging at the many-body localization transition
• Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
• Robustness of symmetry-protected topological states against time-periodic perturbations
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Rigorous bounds on dynamical response functions and time-translation symmetry breaking
• Investigating many-body mobility edges in isolated quantum systems
• Edge and bulk localization of Floquet topological superconductors
• Dynamics of quasiperiodically driven spin systems
• Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
• Many-Body Localization with Quasiperiodic Driving
• Symmetry enhanced boundary qubits at infinite temperature
• Taking the temperature of a pure quantum state
• Non-Abelian symmetries and disorder: a broad non-ergodic regime and anomalous thermalization
• Drive-induced many-body localization and coherent destruction of Stark many-body localization
• Classification of interacting Floquet phases with $U(1)$ symmetry in two dimensions
• Heating in integrable time-periodic systems
• Quasiperiodic granular chains and Hofstadter butterflies
• Two bosonic quantum walkers in one-dimensional optical lattices
• Absence of heating in a uniform Fermi gas created by periodic driving
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Dynamical quantum phase transition in a bosonic system with long-range interactions
• Mobility edge in long-range interacting many-body localized systems
• Electron transitions for Dirac Hamiltonians with flat-bands under electromagnetic radiation and its application to the $\alpha -{\mathcal{T}}_3$ graphene model
• Suppression of heating by long-range interactions in periodically driven spin chains
• Effects of local periodic driving on transport and generation of bound states
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Spin-mediated particle transport in the disordered Hubbard model
• Stability of Periodically Driven Topological Phases against Disorder
• Ergodicity breaking in an incommensurate system observed by OTOCs and Loschmidt Echoes: From quantum diffusion to sub-diffusion
• Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals
• Prethermal quasiconserved observables in Floquet quantum systems
• Disorder-assisted excitation localization in chirally coupled quantum emitters
• Almost-conserved operators in nearly many-body localized systems
• Uncovering Local Integrability in Quantum Many-Body Dynamics
• Fractal nature of high-order time crystal phases
• Disorder-free localization in quantum walks
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• Stability of electric-field-driven MBL in an interacting long range hopping model
• Many-body dynamics and gap opening in interacting periodically driven systems
• Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Transient and persistent particle subdiffusion in a disordered chain coupled to bosons
• Prethermalization and entanglement dynamics in interacting topological pumps
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Non-perturbative method to compute thermal correlations in one-dimensional systems
• Floquet-induced localization in long-range many-body systems
• Interplay of interaction and disorder in the steady state of an open quantum system
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Fingerprint of chaos and quantum scars in kicked Dicke model: An out-of-time-order correlator study
• Dynamical enhancement of symmetries in many-body systems
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Floquet Supersymmetry
• Flow Equations for Disordered Floquet Systems
• Anti-$\mathcal{P}\mathcal{T}$ flatbands
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Dynamical transitions in aperiodically kicked tight-binding models
• Hidden Magnetism in Periodically Modulated One Dimensional Dipolar Fermions
• Bosons with incommensurate potential and spin-orbit coupling
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Correlated nonequilibrium steady states without energy flux
• Topological quantum optical states in quasiperiodic cold atomic chains
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Mott, Floquet, and the response of periodically driven Anderson insulators
• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
• Einstein relation for a driven disordered quantum chain in subdiffusive regime
• Long-range spectral statistics of the Rosenzweig-Porter model
• Emergent dimerization and localization in disordered quantum chains
• Quantum supremacy and quantum phase transitions
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Classical route to ergodicity and scarring in collective quantum systems
• Boltzmann transport theory for many body localization
• Localization of matter waves in lattice systems with moving disorder
• Many-body nonequilibrium dynamics in a self-induced Floquet system
• Dynamical chaotic phases and constrained quantum dynamics
• Bound state and Localization of excitation in many-body open systems
• Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
• Response of a quantum disordered spin system to a local periodic drive
• The connection between Hilbert-space return probability and real-space autocorrelations in quantum spin chains
• Dynamical localization in non-Hermitian quasi-crystals
• Thermalization propagation front and robustness against avalanches in localized systems
• Many-body localization crossover is sharper in quasiperiodic spin chains
• Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
• Quantum supremacy in driven quantum many-body systems
• Prethermalization and wave condensation in a nonlinear disordered Floquet system
• Hopf algebras and solvable unitary circuits
• Single-particle excitations across the localization and many-body localization transition in quasi-periodic systems
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Fate of Algebraic Many-Body Localization under driving
• Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
• Localisation Transition in the Driven Aubry-André Model
• Spinful Aubry-Andre model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling
• The influence of localization transition on dynamical properties for an extended Aubry-André-Harper model
• Dynamical potentials for non-equilibrium quantum many-body phases
• Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
• Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Stability of dipolar bosons in a quasiperiodic potential
• A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential
• Characterizing quantum chaoticity of kicked spin chains
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• The eigenstate distribution fluctuation from thermal to localized transitions
• Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Inhomogeneous Floquet thermalization
• Detecting Many-Body-Localization Length with Cold Atoms
• Protecting Quantum Information via Many-Body Dynamical Localization
• Excitation dynamics in inductively coupled fluxonium circuits
• Thermal avalanches in isolated many-body localized systems
• Strong frequency dependence of transport in the driven Fano-Anderson model
• Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
• Deviations from random matrix entanglement statistics for kicked quantum chaotic spin-$1/2$ chains
• Structural constraints on mobility edges in one-dimensional quasiperiodic systems
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Non-linear response of interacting bosons in a quasiperiodic potential
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation
• Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
• Circular Rosenzweig-Porter random matrix ensemble
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Dynamics of interacting bosons in a double well potential-harmonic versus chirp modulation
• Family of self-dual quasicrystals with critical Phases
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Realizing Topological Quantum Walks on NISQ Digital Quantum Computer
• Extended degenerate perturbation theory for the Floquet-Hilbert space
• Theoretical study on thermalization in isolated quantum systems
• Random-matrix approach to time-dependent forcing in many-body quantum systems
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Quantum transitions, ergodicity, and quantum scars in the coupled top model
• Topical review on acousto-optical Floquet engineering of single-photon emitters
• Noise resilience of two-dimensional Floquet topological phases
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Dynamical Signatures of Floquet Topology in Wave Packet Dynamics
• Thouless Energy Across Many-Body Localization Transition in Floquet Systems
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems
• Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: a relay-race mechanism