Abstract:
In this work we consider two complex scalar fields distinguished by their masses coupled to constant
background electric and magnetic fields in the (3 + 1)-dimensional Minkowski spacetime and subsequently investigate a few measures quantifying the quantum correlations between the created particleantiparticle Schwinger pairs. Since the background magnetic field itself cannot cause the decay of the
Minkowski vacuum, our chief motivation here is to investigate the interplay between the effects due to
the electric and magnetic fields. We start by computing the entanglement entropy for the vacuum state
of a single scalar field. Second, we consider some maximally entangled states for the two-scalar field
system and compute the logarithmic negativity and the mutual information. Qualitative differences of
these results pertaining to the charge content of the states are emphasised. Based upon these results,
we suggest some possible effects of a background magnetic field on the degradation of entanglement
between states in an accelerated frame, for charged quantum fields.
