PT-symmetry in quasi-integrable models

TL;DR

This paper demonstrates that PT-symmetry can guide the selection of nonintegrable models with quasi-integrable excitations, which exhibit asymptotic conservation of charges, highlighting a new approach to understanding near-integrable systems.

Contribution

It introduces the concept that unbroken PT-symmetry in classical field theories leads to quasi-integrable behavior, expanding the understanding of integrability in non-Hermitian systems.

Findings

Unbroken PT-symmetry correlates with quasi-integrable excitations.

Presence of asymptotically conserved charges in nonintegrable models.

PT-symmetry serves as a principle for identifying relevant models.

Abstract

We reinforce the observations of almost stable scattering in nonintegrable models and show that $\mathcal{PT}$-symmetry can be used as a guiding principle to select relevant systems also when it comes to integrability properties. We show that the presence of unbroken $\mathcal{PT}$-symmetry in classical field theories produces quasi-integrable excitations with asymptotically conserved charges.