Information spreading and scrambling in disorder-free multiple-spin interacting models
arXiv:2203.16307 · doi:10.1103/PhysRevA.106.012435
Abstract
Tripartite mutual information (TMI) is an efficient observable to quantify the ability of scrambler for unitary time-evolution operator with quenched many-body Hamiltonian. In this paper, we give numerical demonstrations of the TMI in disorder-free (translational invariant) spin models with 3-body and 4-body multiple-spin interactions. The dynamical behavior of the TMI of these models does {\it not} exhibit linear light-cone for sufficiently strong interactions. In early-time evolution, the TMI displays distinct negative increase behavior fitted by a logarithmic-like function. This is in contrast to the conventional linear light-cone behavior present in the XXZ model and its near integrable vicinity. The late-time evolution of the TMI in finite-size systems is also numerically investigated. The multiple-spin interactions make the system nearly integrable and weakly suppress the spread of information and scrambling. The observation of the late-time value of the TMI indicates that the scrambling nature of the system changes by interactions and this change can be characterized by a phase-transition-like behavior of the TMI, reflecting the system's integrability and breaking of eigenstate thermalization hypothesis.
arXiv comment14 pages, 14 figures, accepted for publication in PRA
References in corpus (50)
- Many body localization and thermalization in quantum statistical mechanics
- A bound on chaos
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Black holes and the butterfly effect
- The many-body localization phase transition
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- Unbounded growth of entanglement in models of many-body localization
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Chaos in quantum channels
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Critical properties of the measurement-induced transition in random quantum circuits
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Out-of-Time-Order Correlation for Many-Body Localization
- Avalanches and many-body resonances in many-body localized systems
- Three-body interactions with cold polar molecules
- Slow scrambling in disordered quantum systems
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- Out-of-time-ordered correlators in many-body localized systems
- Scrambling and thermalization in a diffusive quantum many-body system
- Out-of-time-ordered correlators in quantum Ising chain
- Information propagation in isolated quantum systems
- Integrability of a disordered Heisenberg spin-1/2 chain
- Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
- Eigenstate Thermalization in a Locally Perturbed Integrable System
- Diffusive hydrodynamics from integrability breaking
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Non-Equilibrium Dynamics and Weakly Broken Integrability
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
- Many-body localization from a one-particle perspective in the disordered 1D Bose-Hubbard model
- Entanglement production and information scrambling in a noisy spin system
- Onset of many-body quantum chaos due to breaking integrability
- Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
- Weak integrability breaking: chaos with integrability signature in coherent diffusion
- Domain wall dynamics in integrable and chaotic spin-1/2 chains
- Slow Dynamics in Translation-Invariant Quantum Lattice Models
- Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
- Hilbert space shattering and disorder-free localization in polar lattice gases
- Lieb Robinson bounds and out of time order correlators in a long range spin chain
- Many-body localization as a large family of localized ground states
- Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
- Scrambling and Many-Body Localization in the XXZ-Chain
- Delocalization of quantum information in long-range interacting systems
- Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
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