Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
arXiv:2209.09065 · doi:10.1103/PhysRevB.107.205127
Abstract
How fast quantum information scrambles such that it becomes inaccessible by local probes turns out to be central to various fields. Motivated by recent works on spin systems with nonlocal interactions, we study information scrambling in different variants of the Ising model. Our work reveals that nonlocal interactions can induce operator dynamics not precisely captured by out-of-time-order correlators (OTOCs). In particular, the operator size exhibits a slowdown in systems with generic powerlaw interactions despite a highly nonlinear lightcone. A recently proposed microscopic model for fast scrambling does not show this slowdown, which uncovers a distinct analogy between a local operator under unitary evolution and the entanglement entropy following a quantum quench. Our work gives new insights on scrambling properties of systems in reach of current quantum simulation platforms and complements results on possibly observing features of quantum gravity in the laboratory.
References in corpus (15)
- Probing many-body dynamics on a 51-atom quantum simulator
- Black holes as mirrors: quantum information in random subsystems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Entropy scaling and simulability by Matrix Product States
- Strong and weak thermalization of infinite non-integrable quantum systems
- Bridging entanglement dynamics and chaos in semiclassical systems
- The Lieb-Robinson light cone for power-law interactions
- Minimal Model for Fast Scrambling
- On the Chaos Bound in Rotating Black Holes
- Bound on quantum scrambling with all-to-all interactions
- Binary-coupling sparse SYK: an improved model of quantum chaos and holography
- Two-step phantom relaxation of out-of-time-ordered correlations in random circuits
- Real-time correlators in chaotic quantum many-body systems
- Delocalization of quantum information in long-range interacting systems
Cited by in corpus (7)
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Krylov complexity for non-local spin chains
- The Timescales of Quantum Breaking
- Spread complexity and quantum chaos for periodically driven spin chains
- Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
- Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
- Entanglement transitions in a boundary-driven open quantum many-body system