Soliton pair creation in classical wave scattering

Understand

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.