Tracking locality in time evolution of disordered systems
arXiv:2211.11480 · doi:10.1103/PhysRevB.107.054204
Abstract
Using local density correlation functions for a one-dimensional spin system, we introduce a correlation function difference (CFD) which compares correlations on a given site between a full system of size and its restriction to sites. We show that CFD provides useful information on transfer of information in quantum many-body systems by considering the examples of ergodic, Anderson, and many-body localized regimes in disordered XXZ spin chain. In the ergodic phase, we find that the propagation of CFD is asymptotically faster than the spin transport but slower than the ballistic propagation implied by the Lieb-Robinson bound. In contrast, in the localized cases, we unravel an exponentially slow relaxation of CFD. Connections between CFD and other observables detecting non-local correlations in the system are discussed.
arXiv commentauthors' version accepted in PRB,
References in corpus (114)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Comments on the Sachdev-Ye-Kitaev model
- Many-body localization, thermalization, and entanglement
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- The many-body localization phase transition
- Time-dependence of correlation functions following a quantum quench
- Fast Scramblers
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- Quantum many-body scars
- 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
- Time-dependent variational principle for quantum lattices
- Unifying time evolution and optimization with matrix product states
- Reduced density matrices and entanglement entropy in free lattice models
- Generalized Gibbs ensemble in integrable lattice models
- Many-body localization: an introduction and selected topics
- Universal slow growth of entanglement in interacting strongly disordered systems
- Quantum Simulators: Architectures and Opportunities
- Probing entanglement in a many-body-localized system
- Integrals of motion in the Many-Body localized phase
- Fractons
- Area laws in a many-body localized state and its implications for topological order
- Localization from Hilbert space shattering: from theory to physical realizations
- Simulating Lattice Gauge Theories within Quantum Technologies
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Finite-temperature transport in one-dimensional quantum lattice models
- Quantum chaos challenges many-body localization
- Many-body localization in one dimension as a dynamical renormalization group fixed point
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Universal properties of many-body delocalization transitions
- Constructing local integrals of motion in the many-body localized phase
- Out-of-Time-Order Correlation for Many-Body Localization
- Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
- Avalanches and many-body resonances in many-body localized systems
- Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- On solving quantum many-body problems by experiment
- Entanglement entropy for the long range Ising chain
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Stark many-body localization
- Decomposition of entanglement entropy in lattice gauge theory
- Thouless time analysis of Anderson and many-body localization transitions
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
- Scrambling and thermalization in a diffusive quantum many-body system
- Spectral statistics across the many-body localization transition
- Quantum critical behavior at the many-body-localization transition
- Distinguishing localization from chaos: challenges in finite-size systems
- Quantum Gases in Optical Boxes
- Evidence for unbounded growth of the number entropy in many-body localized phases
- Evolution of entanglement after a local quench
- Quantum quenches in the many-body localized phase
- Can we study the many-body localisation transition?
- Interferometric probes of many-body localization
- Information propagation in isolated quantum systems
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Nonthermal states arising from confinement in one and two dimensions
- Observation of Stark many-body localization without disorder
- Challenges to observation of many-body localization
- Polynomially filtered exact diagonalization approach to many-body localization
- Absence of true localization in many-body localized phases
- Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
- Markovian baths and quantum avalanches
- Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
- Signatures of rare states and thermalization in a theory with confinement
- Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Stark many-body localization on a superconducting quantum processor
- Entanglement equipartition in critical random spin chains
- Quantum entanglement theory in the presence of superselection rules
- Nonlocal resources in the presence of Superselection Rules
- Level statistics across the many--body localization transition
- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Confinement and lack of thermalization after quenches in the bosonic Schwinger model
- Time dynamics with matrix product states: Many-body localization transition of large systems revisited
- Experimental probes of Stark many-body localization
- Many-body localization of bosons in optical lattices
- Model of level statistics for disordered interacting quantum many-body systems
- Random Matrix Ensemble for the Level Statistics of Many-Body Localization
- Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
- Emergent locality in systems with power-law interactions
- Subwavelength-width optical tunnel junctions for ultracold atoms
- Resonance-induced growth of number entropy in strongly disordered systems
- Emergent Glassy Dynamics in a Quantum Dimer Model
- Scar States in Deconfined Lattice Gauge Theories
- Many-body localization in tilted and harmonic potentials
- Many-body localization in presence of cavity mediated long-range interactions
- Fidelity susceptibility in Gaussian Random Ensembles
- Coexistence of localized and extended phases: Many-body localization in a harmonic trap
- Constraints induced delocalization
- Energy level dynamics across the many-body localization transition
- Resonant energy scales and local observables in the many-body localised phase
- Nonergodic dynamics in disorder-free potentials
- Logarithmic spreading of out-of-time-ordered correlators without many-body localization
- Dephasing in strongly disordered interacting quantum wires
- Relaxation at different length-scales in models of many-body localization
- Critical Level Statistics at the Many-Body Localization Transition Region
- Quantum information spreading in random spin chains
- On intermediate statistics across many-body localization transition
- Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
- Splitting a critical spin chain
- Random Matrix Model for Eigenvalue Statistics in Random Spin Systems