Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization

Abstract

We study the $t-V$ disordered spinless fermionic chain in the strong coupling regime, $t/V\to 0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system size. Macroscopically, these blocks can be characterized by the number of new degrees of freedom, which we refer to as movers. We focus on two limiting cases: Blocks with only one mover and the ones with a finite density of movers. The former many-particle block can be exactly mapped to a single-particle Anderson model with correlated disorder in one dimension. As a result, these eigenstates are always localized for any finite amount of disorder. The blocks with a finite density of movers, on the other side, show an MBL transition that is tuned by the disorder strength. Moreover, we provide numerical evidence that its ergodic phase is diffusive at weak disorder. Approaching the MBL transition, we observe sub-diffusive dynamics at finite time scales and find indications that this might be only a transient behavior before crossing over to diffusion.

References in corpus (87)

• Many-Body Physics with Ultracold Gases
• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Simulation
• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Anderson Transitions
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Average Entropy of a Subsystem
• The many-body localization phase transition
• The Kernel Polynomial Method
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum many-body scars
• Exploring the many-body localization transition in two dimensions
• Many body localization in Heisenberg XXZ magnet in a random field
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Local conservation laws and the structure of the many-body localized states
• Many-body localization in a quantum simulator with programmable random disorder
• On Many-Body Localization for Quantum Spin Chains
• Universal slow growth of entanglement in interacting strongly disordered systems
• Many-body localization in a disordered quantum Ising chain
• Transport and conservation laws
• Universal dynamics and renormalization in many body localized systems
• Integrals of motion in the Many-Body localized phase
• Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
• Many-Body Localization in a Quasiperiodic System
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Coupling Identical 1D Many-Body Localized Systems
• Theory of the many-body localization transition in one dimensional systems
• Emergent SU(2) dynamics and perfect quantum many-body scars
• Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
• Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
• Extended slow dynamical regime close to the many-body localization transition
• The Ergodic Side of the Many-Body Localization Transition
• Exact Excited States of Non-Integrable Models
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• A criterion for many-body localization-delocalization phase transition
• Finite-size scaling of eigenstate thermalization
• Signatures of integrability in the dynamics of Rydberg-blockaded chains
• Two universality classes for the many-body localization transition
• Many-body localization characterized from a one-particle perspective
• Integrability and ideal conductance at finite temperatures
• Review: Local Integrals of Motion in Many-Body Localized systems
• Thermal Fluctuations in Quantized Chaotic Systems
• Anomalous thermalization in ergodic systems
• Off-diagonal matrix elements of local operators in many-body quantum systems
• Quantum quenches in the many-body localized phase
• Absence of many-body mobility edges
• Linear and Nonlinear Theory of Eigenfunction Scars
• Dynamics of many-body localisation in a translation invariant quantum glass model
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
• Shift-invert diagonalization of large many-body localizing spin chains
• Quantum Mutual Information as a Probe for Many-Body Localization
• Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
• Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
• Universal properties of many-body localization transitions in quasiperiodic systems
• Bimodal entanglement entropy distribution in the many-body localization transition
• Spin transport of weakly disordered Heisenberg chain at infinite temperature
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• Slow dynamics and strong finite-size effects in many-body localization with random and quasi-periodic potential
• Survival probability in Generalized Rosenzweig-Porter random matrix ensemble
• Slow Dynamics in a Two-Dimensional Anderson-Hubbard Model
• Explicit construction of local conserved operators in disordered many-body systems
• Solving efficiently the dynamics of many-body localized systems at strong disorder
• Finite temperature transport in disordered Heisenberg chains
• Algebraic Many-Body Localization and its implications on information propagation
• Anderson Localization in 1D Systems with Correlated Disorder
• Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
• Self-consistent approach to many-body localization and subdiffusion
• Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions
• Statistical Bubble Localization with Random Interactions
• Exact Solution of the strong coupling t-V model with twisted boundary conditions
• Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations
• Does a distinct quasi many-body localized phase exist? A numerical study of a translationally invariant system in the thermodynamic limit

Cited by in corpus (98)

• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Long-range interacting quantum systems
• Quantum Many-Body Scars: A Quasiparticle Perspective
• Hilbert Space Fragmentation and Commutant Algebras
• Hilbert-Space Fragmentation from Strict Confinement
• Dynamical obstruction to localization in a disordered spin chain
• Statistical localization: from strong fragmentation to strong edge modes
• Quantum Many-Body Scars in Optical Lattices
• Rare thermal bubbles at the many-body localization transition from the Fock space point of view
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• Real-time dynamics of string breaking in quantum spin chains
• Sub-diffusion in the Anderson model on random regular graph
• Fock-space correlations and the origins of many-body localisation
• Hilbert Space Fragmentation and Exact Scars of Generalized Fredkin Spin Chains
• Minimal model for Hilbert space fragmentation with local constraints
• Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
• Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
• Multifractality meets entanglement: relation for non-ergodic extended states
• Thermalization of dilute impurities in one dimensional spin chains
• Many-body localization in a fragmented Hilbert space
• Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries
• Fermionic many-body localization for random and quasiperiodic systems in the presence of short- and long-range interactions
• Emergence of Hilbert Space Fragmentation in Ising Models with a Weak Transverse Field
• Fock-space anatomy of eigenstates across the many-body localisation transition
• Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models
• Observation of many-body Fock space dynamics in two dimensions
• Orthogonal Quantum Many-body Scars
• Quantum many-body scars in transverse field Ising ladders and beyond
• Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions
• Strong ergodicity breaking due to local constraints in a quantum system
• Hilbert space shattering and dynamical freezing in the quantum Ising model
• Realization of an extremely anisotropic Heisenberg magnet in Rydberg atom arrays
• Constraints induced delocalization
• Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
• Hilbert space shattering and disorder-free localization in polar lattice gases
• A Neural-Network Variational Quantum Algorithm for Many-Body Dynamics
• Multiple quantum scar states and emergent slow-thermalization in the flat-band system
• Observation of quantum thermalization restricted to Hilbert space fragments
• Prethermal fragmentation in a periodically driven Fermionic chain
• Emergent tracer dynamics in constrained quantum systems
• Periodically driven Rydberg chains with staggered detuning
• Emergent symmetries and slow quantum dynamics in a Rydberg-atom chain with confinement
• Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Fracton magnetohydrodynamics
• Hilbert space fragmentation in a long-range system
• Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Lattice control of non-ergodicity in a polar lattice gas
• Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators
• Probability transport on the Fock space of a disordered quantum spin chain
• Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Stable many-body localization under random continuous measurements in the no-click limit
• Disorder enhanced quantum many-body scars in Hilbert crystals
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• Many-body Localization in Clean Chains with Long-Range Interactions
• Multi-Region Entanglement in Locally Scrambled Quantum Dynamics
• Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
• Subspace restricted thermalization in a correlated-hopping model with strong Hilbert space fragmentation characterized by irreducible strings
• Information spreading and scrambling in disorder-free multiple-spin interacting models
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Enhanced many-body localization in a kinetically constrained model
• Interaction-enhanced many body localization in a generalized Aubry-Andre model
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Signatures of fragmentation for periodically driven fermions
• Universal Translationally-Invariant Hamiltonians
• Coherence generation, symmetry algebras and Hilbert space fragmentation
• Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
• Supersymmetry and multicriticality in a ladder of constrained fermions
• Key Observable for Linear Thermalization
• Wave-packet and entanglement dynamics in a non-Hermitian many-body system
• Proof of absence of local conserved quantities in two- and higher-dimensional quantum Ising models
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Weak ergodicity breaking with isolated integrable sectors
• Information Dynamics in a Model with Hilbert Space Fragmentation
• Two-dimensional quantum breakdown model with Krylov subspace many-body localization
• Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective
• State-dependent mobility edge in kinetically constrained models
• Boundary dissipative spin chains with partial solvability inherited from system Hamiltonians
• Graph theory and tunable slow dynamics in quantum East Hamiltonians
• Anatomy of localisation protected quantum order on Hilbert space
• Hilbert space fragmentation from lattice geometry
• Probing Hilbert space fragmentation using controlled dephasing
• Universal Freezing Transitions of Dipole-Conserving Chains
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Domain coarsening in fractonic systems: a cascade of critical exponents
• Statistics of noninteracting many-body fermionic states: The question of a many-body mobility edge
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
• Fock space prethermalization and time-crystalline order on a quantum processor
• Protecting Hilbert space fragmentation through quantum Zeno dynamics
• Information Bounds on phase transitions in disordered systems
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain
• Persistent-current states originating from the Hilbert space fragmentation in momentum space