Dynamics of quantum information in many-body localized systems

Abstract

We characterize the information dynamics of strongly disordered systems using a combination of analytics, exact diagonalization, and matrix product operator simulations. More specifically, we study the spreading of quantum information in three different scenarios: thermalizing, Anderson localized, and many-body localized. We qualitatively distinguish these cases by quantifying the amount of remnant information in a local region. The nature of the dynamics is further explored by computing the propagation of mutual information with respect to varying partitions. Finally, we demonstrate that classical simulability, as captured by the magnitude of MPO truncation errors, exhibits enhanced fluctuations near the localization transition, suggesting the possibility of its use as a diagnostic of the critical point.

arXiv comment10 pages, 7 figures

References in corpus (44)

• Chaos and Quantum Thermalization
• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• The many-body localization phase transition
• Measuring entanglement entropy through the interference of quantum many-body twins
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• Exploring the many-body localization transition in two dimensions
• Many body localization in Heisenberg XXZ magnet in a random field
• 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
• Area laws in quantum systems: mutual information and correlations
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Universal slow growth of entanglement in interacting strongly disordered systems
• Many-body localization in a disordered quantum Ising chain
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Integrals of motion in the Many-Body localized phase
• From density-matrix renormalization group to matrix product states
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Theory of the many-body localization transition in one dimensional systems
• Matrix product operator representations
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
• Dynamical quantum phase transitions in random spin chains
• Quantum quenches in the many-body localized phase
• Interferometric probes of many-body localization
• Early breakdown of area-law entanglement at many-body delocalization transition
• Quantum revivals and many-body localization
• Quantum Mutual Information as a Probe for Many-Body Localization
• Efficient variational diagonalization of fully many-body localized Hamiltonians
• Many-body localization beyond eigenstates in all dimensions
• Entanglement Complexity in Quantum Many-Body Dynamics, Thermalization and Localization
• Thermal vs. Entanglement Entropy: A Measurement Protocol for Fermionic Atoms with a Quantum Gas Microscope
• Robustness of quantum memories based on Majorana zero modes
• Local constants of motion imply information propagation

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• Localization with random time-periodic quantum circuits
• Multiscale entanglement clusters at the many-body localization phase transition
• Solving efficiently the dynamics of many-body localized systems at strong disorder
• Algebraic Many-Body Localization and its implications on information propagation
• Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
• Quantum Information Scrambling in Quantum Many-body Scarred Systems
• Quantum Mpemba Effects from Symmetry Perspectives
• Symmetry restoration and quantum Mpemba effect in many-body localization systems
• Rényi Mutual Information in Quantum Field Theory
• Computable Rényi mutual information: Area laws and correlations
• Scrambling and Many-Body Localization in the XXZ-Chain
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Many-body localization and the area law in two dimensions
• Many-body physics with ultracold plasmas: Quenched randomness and localization
• Classification of symmetry-protected topological many-body localized phases in one dimension
• Quantum scrambling via accessible tripartite information
• Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
• Renormalization view on resonance proliferation between many-body localized phases
• Disorder effects in the ${\mathbb{Z}}_3$ Fock parafermion chain
• State-dependent mobility edge in kinetically constrained models
• Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
• Constructing k-local parent Lindbladians for matrix product density operators
• Learning out-of-time-ordered correlators with classical kernel methods