Semiclassical dynamics of domain walls in the one-dimensional Ising ferromagnet in a transverse field

TL;DR

This paper studies the semiclassical dynamics of domain walls in a one-dimensional transverse field Ising model, combining analytical and numerical methods to reveal a band structure in the domain wall spectrum.

Contribution

It provides a combined analytical and numerical analysis of domain wall dynamics and quantum properties in the transverse field Ising model, highlighting a band structure in the spectrum.

Findings

Domain wall spectrum exhibits a band structure with 2S non-intersecting zones.

Analytical continuum approximation aligns with numerical simulations.

Quantum properties of domain walls are characterized using semiclassical methods.

Abstract

We investigate analytically and numerically the dynamics of domain walls in a spin chain with ferromagnetic Ising interaction and subject to an external magnetic field perpendicular to the easy magnetization axis (transverse field Ising model). The analytical results obtained within the continuum approximation and numerical simulations performed for discrete classical model are used to analyze the quantum properties of domain walls using the semiclassical approximation. We show that the domain wall spectrum shows a band structure consisting of 2$S$ non-intersecting zones.