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.
12 pages, 15 figures
References in corpus (11)
- Many body localization and thermalization in quantum statistical mechanics
- Black holes as mirrors: quantum information in random subsystems
- Entropy scaling and simulability by Matrix Product States
- Remarks on the entanglement entropy for disconnected regions
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Suppression of inelastic electron-electron scattering in Anderson Insulators
- Negative tripartite mutual information after quantum quenches in integrable systems
- Quantum information spreading in random spin chains with topological order
- Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
- Information spreading and scrambling in disorder-free multiple-spin interacting models