Quasi-Periodically Driven Quantum Ising Chains

TL;DR

This paper investigates the early-time dynamics and equilibration of quantum Ising chains under periodic and quasi-periodic driving, analyzing how different frequencies and field amplitudes influence their evolution and dynamical free energies.

Contribution

It provides new insights into the early-time behavior of driven quantum Ising chains under quasi-periodic driving, extending understanding beyond periodic cases.

Findings

System evolution varies with driving frequency and amplitude.

Quasi-periodic driving affects dynamical free energies differently than periodic driving.

Early-time behavior shows distinct patterns depending on the type of oscillation.

Abstract

Understanding the equilibration of isolated quantum systems under unitary dynamics is an interesting topic. In this paper, we look at the early time behaviour of periodically and quasi-periodically driven Transverse field Ising chains when and their corresponding dynamical free energies. We study the system under different frequencies and observe how the system evolves with changes in the field amplitudes in both types of oscillations.