Bosonic pair creation and the Schiff-Snyder-Weinberg effect

TL;DR

This paper investigates how the Schiff-Snyder-Weinberg effect in bosonic systems, involving pseudodegenerate bound states, leads to exponential pair creation, expanding understanding of quantum field interactions in external fields.

Contribution

It demonstrates the influence of the generalized Schiff-Snyder-Weinberg effect on bosonic pair production using time-dependent quantum field theory and Klein-Gordon equation simulations.

Findings

Pseudodegenerate bound states have complex energies.

The generalized effect triggers exponential boson pair creation.

Particle number grows exponentially over time.

Abstract

Interactions between different bound states in bosonic systems can lead to pair creation. We study this process in detail by solving the Klein-Gordon equation on space-time grids in the framework of time-dependent quantum field theory. By choosing specific external field configurations, two bound states can become pseudodegenerate, which is commonly referred to as the Schiff-Snyder-Weinberg effect. These pseudodegenerate bound states, which have complex energy eigenvalues, are related to the pseudo-Hermiticity of the Klein-Gordon Hamiltonian. In this work, the influence of the Schiff-Snyder-Weinberg effect on pair production is studied. A generalized Schiff-Snyder-Weinberg effect, where several pairs of pseudodegenerate states appear, is found in combined electric and magnetic fields. The generalized Schiff-Snyder-Weinberg effect likewise triggers pair creation. The particle number in these situations obeys an exponential growth law in time enhancing the creation of bosons, which cannot be found in fermionic systems.