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

Kohei Ohgane; Yusuke Masaki; Hiroaki Matsueda

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arXiv · 2210.13814

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

Kohei Ohgane·Yusuke Masaki·Hiroaki Matsueda

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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 $\pm h$.

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Kohei Ohgane, Yusuke Masaki, Hiroaki Matsueda. 2022-10-25. Quasi-Particle Dynamics in Quasi-Periodic Ising Model with Temporally Fluctuating Transverse Fields. https://arxiv.org/abs/2210.13814

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