Logarithmic Entanglement Lightcone in Many-Body Localized Systems
arXiv:1607.08611 · doi:10.1103/PhysRevB.95.024202
Abstract
We theoretically study the response of a many-body localized system to a local quench from a quantum information perspective. We find that the local quench triggers entanglement growth throughout the whole system, giving rise to a logarithmic lightcone. This saturates the modified Lieb-Robinson bound for quantum information propagation in many-body localized systems previously conjectured based on the existence of local integrals of motion. In addition, near the localization-delocalization transition, we find that the final states after the local quench exhibit volume-law entanglement. We also show that the local quench induces a deterministic orthogonality catastrophe for highly excited eigenstates, where the typical wave-function overlap between the pre- and post-quench eigenstates decays {\it exponentially} with the system size.
arXiv comment6 pages, 5 figures. version published in Phys. Rev. B
References in corpus (53)
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Efficient classical simulation of slightly entangled quantum computations
- Anderson Transitions
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- The many-body localization phase transition
- Time-dependence of correlation functions following a quantum quench
- 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
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Observation of entanglement propagation in a quantum many-body system
- Light-cone-like spreading of correlations in a quantum many-body system
- Non-local propagation of correlations in long-range interacting quantum systems
- 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
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Universal dynamics and renormalization in many body localized systems
- Integrals of motion in the Many-Body localized phase
- Area laws in a many-body localized state and its implications for topological order
- Localization protected quantum order
- Local emergence of thermal correlations in an isolated quantum many-body system
- Coupling Identical 1D Many-Body Localized Systems
- Theory of the many-body localization transition in one dimensional systems
- Entanglement Entropy dynamics in Heisenberg chains
- Universal properties of many-body delocalization transitions
- Many-body localization characterized from a one-particle perspective
- Many-body Localization and Symmetry Protected Topological Order
- Entanglement growth in quench dynamics with variable range interactions
- General entanglement scaling laws from time evolution
- Dynamical quantum phase transitions in random spin chains
- Explicit Local Integrals of Motion for the Many-Body Localized State
- Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
- Obtaining highly-excited eigenstates of many-body localized Hamiltonians by the density matrix renormalization group
- Dynamics of many-body localisation in a translation invariant quantum glass model
- Entanglement spreading in a many-body localized system
- Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
- Non-local Adiabatic Response of a Localized System to Local Manipulations
- Dynamical Localization in Disordered Quantum Spin Systems
- Exponential Orthogonality Catastrophe in Single-Particle and Many-Body Localized Systems
- Entanglement Dynamics of Disordered Quantum XY Chains
- Local constants of motion imply information propagation
- Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
Cited by in corpus (35)
- The Ergodic Side of the Many-Body Localization Transition
- Out-of-Time-Order Correlation for Many-Body Localization
- Information propagation in isolated quantum systems
- Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
- Dynamics and Transport at the Threshold of Many-Body Localization
- Finding purifications with minimal entanglement
- Solving efficiently the dynamics of many-body localized systems at strong disorder
- Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
- Slow growth of out-of-time-order correlators and entanglement in integrable disordered systems
- Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
- Entanglement in a dephasing model and many-body localization
- 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
- Observation of anomalous information scrambling in a Rydberg atom array
- The Fock-space landscape of many-body localisation
- Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
- Out-of-Time-Order Correlators in One-Dimensional XY model
- Absence of localization in two-dimensional Clifford circuits
- Fractal x-ray edge problem at the critical point of the Aubry-André model
- Dynamics of quantum coherence in many-body localized systems
- Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
- Logarithmic light cone, slow entanglement growth, and quantum memory
- Detecting Many-Body-Localization Length with Cold Atoms
- Bounded light cone and robust topological order out of equilibrium
- Enhanced localization in the prethermal regime of continuously measured many-body localized systems
- Partial projected ensembles and spatiotemporal structure of information scrambling
- Directional scrambling of quantum information in helical multiferroics
- Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase
- Measurement-invisible quantum correlations in scrambling dynamics
- Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
- Learning out-of-time-ordered correlators with classical kernel methods
- Operator delocalization in disordered spin chains via exact MPO marginals
- Krylov complexity of many-body localization: Operator localization in Krylov basis
- Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport