Similar early growth of out-of-time-ordered correlators in quantum chaotic and integrable Ising chains
arXiv:1906.11775 · doi:10.1088/0253-6102/71/11/1359
Abstract
Previous studies show that, in quantum chaotic and integrable systems, the so-called out-of-time-ordered correlator (OTOC) generically behaves differently at long times, while, it may show similar early growth in one-body systems. In this paper, by means of numerical simulations, it is shown that OTOC has similar early growth in two quantum many-body systems, one integrable and one chaotic.
References in corpus (7)
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
- Eigenstate Correlations, Thermalization and the Butterfly Effect
- Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
- Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
- Convergent perturbation expansion of energy eigenfunctions on unperturbed basis states in classically-forbidden regions
Cited by in corpus (12)
- Random Quantum Circuits
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
- Out-of-time-order correlator in coupled harmonic oscillators
- Super-exponential scrambling of Out-of-time-ordered correlators
- Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model
- Chaotic diffusion of complex trajectory and its quantum signature
- Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
- Dynamical Detection of Level Repulsion in the One-Particle Aubry-André Model
- Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators
- Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains
- Long-time signatures of chaos in large atom-light frequency ratios Rabi model