Soliton pair creation in classical wave scattering

TL;DR

This paper investigates the classical formation of soliton-antisoliton pairs from wave packet collisions in a scalar field model, mapping the conditions in energy and particle number where pair creation occurs.

Contribution

It characterizes the classical creation region in the (E,N) plane and shows that pair production is exponentially suppressed in low-particle-number collisions.

Findings

Classical soliton pair creation occurs within a specific (E,N) region.

Pair production probability is exponentially suppressed at low particle numbers.

The study maps the classical creation region in the energy-particle number plane.

Abstract

We study classical production of soliton-antisoliton pairs from colliding wave packets in (1+1)-dimensional scalar field model. Wave packets represent multiparticle states in quantum theory; we characterize them by energy E and particle number N. Sampling stochastically over the forms of wave packets, we find the entire region in (E,N) plane which corresponds to classical creation of soliton pairs. Particle number is parametrically large within this region meaning that the probability of soliton-antisoliton pair production in few-particle collisions is exponentially suppressed.