Scrambling in Ising spin systems with periodic transverse magnetic fields
arXiv:2310.14620 · doi:10.1140/epjd/s10053-025-01030-w
Abstract
Scrambling of quantum information in both integrable and nonintegrable Floquet spin systems is studied. Our study employs tripartite mutual information (TMI), with negative TMI serving as an indicator of scrambling, where a more negative value suggests a higher degree of scrambling. Both integrable and nonintegrable Floquet systems display scrambling behavior across all periods lying between 0 to π/2, except at self-dual point(π/4). Nonintegrable Floquet systems exhibit more pronounced scrambling compared to integrable ones across all periods. The degree of scrambling increases as we move towards the self-dual point (but not at the self-dual point), regardless of the initial states. TMI demonstrates periodic behavior at the self-dual point, with a period matching the system size in the case of the integrable system while displaying complex patterns in the non-integrable system. The initial growth of scrambling in both integrable and nonintegrable Floquet systems manifests as a power-law increase for small periods, followed by a sudden jump in scrambling near the self-dual point.
arXiv comment12 pages, 15 figures
References in corpus (41)
- Chaos and Quantum Thermalization
- Area laws for the entanglement entropy - a review
- Many body localization and thermalization in quantum statistical mechanics
- Many-body localization, thermalization, and entanglement
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- Chaos in quantum channels
- Many-body localization: an introduction and selected topics
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Entropy scaling and simulability by Matrix Product States
- Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
- Holographic Mutual Information is Monogamous
- Optically induced coherent transport far above Tc in underdoped YBa2Cu3O6+x
- Remarks on the entanglement entropy for disconnected regions
- Scrambling and entanglement spreading in long-range spin chains
- Periodic steady state and interference in a periodically driven quantum system
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Holographic evolution of the mutual information
- A family of quantum protocols
- Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Integrable Floquet dynamics
- Multipartite Entanglement in a One-Dimensional Time Dependent Ising Model
- Quantum information dynamics in multipartite integrable systems
- Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
- Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Quantum vs. classical information: operator negativity as a probe of scrambling
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Slow Dynamics in Translation-Invariant Quantum Lattice Models
- Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
- Suppression of inelastic electron-electron scattering in Anderson Insulators
- Linear response as a singular limit for a periodically driven closed quantum system
- Tripartite information at long distances
- Negative tripartite mutual information after quantum quenches in integrable systems
- Quenching and generation of random states in a kicked Ising model
- Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
- Quantum information spreading in random spin chains with topological order
- Information spreading and scrambling in disorder-free multiple-spin interacting models