Bosonic pair creation and the Schiff-Snyder-Weinberg effect

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.

References in corpus (6)

• Dynamically assisted Schwinger mechanism
• Pair production in laser fields oscillating in space and time
• Schwinger pair production with ultracold atoms
• Spin polarized electron-positron pair production via elliptical polarized laser fields
• Can degenerate bound states occur in one dimensional quantum mechanics?
• Accidental crossings of eigenvalues in one-dimensional complex PT-symmetric Scarf-II potential

Cited by in corpus (2)

• Understanding superradiant phenomena with synthetic vector potentials in atomic Bose-Einstein condensates
• Time- and space-resolved selective multi-pair creation