  We propose a method for using ultracold atomic Bose-Einstein condensates, to
form an analog model of a relativistic massive field that carries "charge" and
interacts with an external nondynamical gauge field. Such a "scalar QED" analog
model, may be useful for simulating various effects of QFT involving charged
particles, such as the Schwinger pair-creation of charged phonons in a constant
external field, and vacuum instability.
