Quasi-Particle Dynamics in Quasi-Periodic Ising Model with Temporally Fluctuating Transverse Fields

TL;DR

This paper investigates how quasi-particles spread in a quasi-periodic Ising model with randomly fluctuating transverse fields over time, revealing the impact on relaxation and dynamical exponents.

Contribution

It introduces a detailed analysis of quasi-particle dynamics under temporal fluctuations in a quasi-periodic Ising model, highlighting the dependence on fluctuation intervals.

Findings

Short-time dynamical exponents depend on fluctuation intervals.

Quasi-particle dynamics influence spin-spin correlation relaxation.

Overlap of eigenvectors explains the observed dynamics.

Abstract

We study quasi-particle dynamics in a quasi-periodic Ising model with temporally fluctuating transverse fields. Specifically, we calculate the dynamical exponents of the standard deviation of a quasi-particle spreading under a field chosen randomly from binary values $\pm h$ at every time interval. We find that the short-time behavior of the dynamical exponents depends on the interval of the temporally fluctuating fields. We also reveal how the quasi-particle dynamics affects the relaxation of spin-spin correlation functions. The dynamics can be explained via the overlap between the eigenvectors of a Hamiltonian with $\pm h$.