Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
arXiv:2208.08283 · doi:10.1103/PhysRevA.106.022403
Abstract
We study characteristic, dynamic, and saturation regimes of the out-of-time-order correlation (OTOC) in the constant field Floquet system with and without longitudinal field. In the calculation of OTOC, we take local spins in longitudinal and transverse directions as observables which are local and non-local in terms of Jordan-Wigner fermions, respectively. We use the exact analytical solution of OTOC for the integrable model (without longitudinal field term) with transverse direction spins as observables and numerical solutions for other integrable and nonintegrable cases. OTOCs generated in both cases depart from unity at a kick equal to the separation between the observables when the local spins in the transverse direction and one additional kick is required when the local spins in the longitudinal direction. The number of kicks required to depart from unity depends on the separation between the observables and is independent of the Floquet period and system size. In the dynamic region, OTOCs show power-law growth in both models, the integrable (without longitudinal field) as well as the nonintegrable (with longitudinal field). The exponent of the power-law increases with increasing separation between the observables. Near the saturation region, OTOCs grow linearly with a very small rate.
12 pages, 7 figures
References in corpus (14)
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Measurement of many-body chaos using a quantum clock
- Jarzynski-like equality for the out-of-time-ordered correlator
- Time independent description of rapidly oscillating potentials
- Out-of-time-order correlations and Floquet dynamical quantum phase transition
- Suppression of inelastic electron-electron scattering in Anderson Insulators
- Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement
- Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model
- Scrambling and quantum feedback in a nanomechanical system