Entanglement and quench dynamics in the thermally perturbed tricritical fixed point

TL;DR

This paper investigates the effects of thermal perturbations on the tricritical Ising fixed point using the Blume--Capel model, analyzing quench dynamics, entanglement, and form factors through numerical and analytical methods.

Contribution

It develops a numerical scaling limit extrapolation for one-point functions and Rényi entropies, and constructs form factors of branch-point twist fields in the perturbed tricritical Ising model.

Findings

Long-lived oscillations observed in mass quench scenarios.

Verification of form factor predictions for energy density and magnetic fields.

Successful analysis of Rényi entropies dynamics in the scaling limit.

Abstract

We consider the Blume--Capel model in the scaling limit to realize the thermal perturbation of the tricritical Ising fixed point. We develop a numerical scaling limit extrapolation for one-point functions and R\'enyi entropies in the ground state. In a mass quench scenario, we found long-lived oscillations despite the absence of explicit spin-flip symmetry breaking or confining potential. We construct form factors of branch-point twist fields in the paramagnetic phase. In the scaling limit of small quenches, we verify form factor predictions for the energy density and leading magnetic field using the dynamics of one-point functions, and branch-point twist fields using the dynamics of R\'enyi entropies.