  We present a general, analytic recipe to compute the entanglement that is
generated between arbitrary, discrete modes of bosonic quantum fields by
Bogoliubov transformations. Our setup allows the complete characterization of
the quantum correlations in all Gaussian field states. Additionally, it holds
for all Bogoliubov transformations. These are commonly applied in quantum
optics for the description of squeezing operations, relate the mode
decompositions of observers in different regions of curved spacetimes, and
describe observers moving along non-stationary trajectories. We focus on a
quantum optical example in a cavity quantum electrodynamics setting: an
uncharged scalar field within a cavity provides a model for an optical
resonator, in which entanglement is created by non-uniform acceleration. We
show that the amount of generated entanglement can be magnified by initial
single-mode squeezing, for which we provide an explicit formula. Applications
to quantum fields in curved spacetimes, such as an expanding universe, are
discussed.
