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

2022/10/25 by Kohei Ohgane, Ohgane, Kohei, Yusuke Masaki +3 · 1 citation
Physics and Astronomy · Mathematics · #Theoretical and Computational Physics #Stochastic processes and statistical mechanics #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2210.13814

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 ± 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 ± h.

Cited by

• Disordered purification phase transition in hybrid random circuits

Related

• Quasi-Periodically Driven Quantum Ising Chains
• Rhythmic behavior of an Ising Model with dissipation at low temperature
• Quantum Ising model in transverse and longitudinal fields: chaotic wave functions
• Long-time Behavior for the Stochastic Ising Model with Unbounded Random Couplings
• Out of equilibrium mean field dynamics in the transverse field Ising model