Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations

Abstract

The many-body localization transition is a dynamical quantum phase transition between a localized and an extended phase. We study this transition in the XXZ model with disordered magnetic field and focus on the time evolution following a global quantum quench. While the dynamics of the bipartite entanglement and spin fluctuations are already known to provide insights into the nature of the many-body localized phases, we discuss the relevance of these quantities in the context of the localization transition. In particular, we observe that near the transition the long time limits of both quantities show behavior similar to divergent thermodynamic fluctuations.

7 pages, 9 figures

References in corpus (15)

• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Anderson Transitions
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Many-body localization edge in the random-field Heisenberg chain
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• A criterion for many-body localization-delocalization phase transition
• Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Many-body localization and thermalization in disordered Hubbard chains
• Entanglement spreading in a many-body localized system
• Quantum revivals and many-body localization
• Total correlations of the diagonal ensemble herald the many-body localization transition

Cited by in corpus (78)

• Many-body localization: an introduction and selected topics
• Evidence for unbounded growth of the number entropy in many-body localized phases
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Absence of true localization in many-body localized phases
• Probing many-body localization with neural networks
• Many-Body Localization in the Age of Classical Computing
• Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
• Operator entanglement entropy of the time evolution operator in chaotic systems
• Quantum Mutual Information as a Probe for Many-Body Localization
• Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
• Extended nonergodic states in disordered many-body quantum systems
• Universality in volume law entanglement of pure quantum states
• Return probability for the Anderson model on the random regular graph
• Nature of Many-Body Localization and Transitions by Density Matrix Renormaliztion Group and Exact Diagonalization Studies
• The quantum Ising chain for beginners
• Experimental probes of Stark many-body localization
• Bimodal entanglement entropy distribution in the many-body localization transition
• Many-body localization beyond eigenstates in all dimensions
• Many-Body Localization in Spin Chain Systems with Quasiperiodic Fields
• Probing many-body localization phase transition with superconducting circuits
• Detecting a many-body mobility edge with quantum quenches
• One-particle density matrix characterization of many-body localization
• Full counting statistics in the Haldane-Shastry chain
• Solving efficiently the dynamics of many-body localized systems at strong disorder
• Driven dissipative dynamics and topology of quantum impurity systems
• How does a locally constrained quantum system localize?
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
• Full counting statistics of the subsystem energy in the free fermions and the quantum spin chains
• Effect of long-range hopping and interactions on entanglement dynamics and many-body localization
• Entanglement dynamics of a many-body localized system coupled to a bath
• Localization and symmetry breaking in the quantum quasiperiodic Ising glass
• Emergent ergodicity at the transition between many-body localized phases
• Entanglement in a dephasing model and many-body localization
• One-particle-density-matrix occupation spectrum of many-body localized states after a global quench
• Exploring one particle orbitals in large Many-Body Localized systems
• Statistics of correlation functions in the random Heisenberg chain
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• The internal clock of many-body delocalization
• Many-body dynamical localization in the kicked Bose-Hubbard chain
• Entanglement entropy in a periodically driven Ising chain
• Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
• Stark many-body localization transitions in superconducting circuits
• Entanglement dynamics with string measurement operators
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Dephasing in strongly disordered interacting quantum wires
• Bipartite charge fluctuations in one-dimensional ${\mathbb{Z}}_2$ superconductors and insulators
• Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations
• Dynamics of the order-parameter statistics in the long-range Ising model
• Many-Body-Localization Transition : sensitivity to twisted boundary conditions
• Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
• Beyond many-body localized states in a spin-disordered Hubbard model with pseudo-spin symmetry
• Many-body localization transition through pairwise correlations
• The impact of different unravelings in a monitored system of free fermions
• Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
• Linear and logarithmic entanglement production in an interacting chaotic system
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Nonstabilizerness of a Boundary Time Crystal
• Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Escaping many-body localization in an exact eigenstate
• Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion
• Finite-size subthermal regime in disordered SU(N)-symmetric Heisenberg chains
• Localization due to interaction-enhanced disorder in bosonic systems
• Neural Network Approach to Scaling Analysis of Critical Phenomena
• Typical thermalization of low-entanglement states
• Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Finite size scaling for the Many-Body-Localization Transition : finite-size-pseudo-critical points of individual eigenstates
• Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
• Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
• Multipoint entanglement in disordered systems
• Entanglement behavior and localization properties in monitored fermion systems
• Disorder free many-body localization transition in two quasiperiodically coupled Heisenberg spin chains
• Localization Dynamics from Static and Mobile Impurities