The non-equilibrium distribution function of particles and anti-particles created in strong fields

TL;DR

This paper studies the non-equilibrium distribution of particles and anti-particles created in strong fields by solving quantum kinetic equations with back-reaction, revealing stochastic behavior in the distribution functions.

Contribution

It introduces a numerical approach to analyze the back-reaction effects on particle creation in strong fields, highlighting stochastic features in the distribution functions.

Findings

Back-reaction induces stochastic features in particle distribution functions.

System exhibits regular behavior without back-reaction.

Numerical solutions show dynamic evolution of distributions for bosons and fermions.

Abstract

We investigate the quantum Vlasov equation with a source term describing the spontaneous particle creation in strong fields. The back-reaction problem is treated by solving this kinetic equation together with the Maxwell equation which determines the induced time-dependent electric field in the system. The evolution of distribution functions for bosons and fermions is studied numerically. We found that the system shows a regular dynamic behavior if the back-reaction is neglected. But if the back-reaction is included, it is not the case and some stochastic features are clearly revealed in the non-equilibrium distribution function..