Charged Phonons in an External FIeld: a QED Analog with Bose Einstein Condensates

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 quantum field theory involving charged particles such as the Schwinger pair creation of charged phonons in a constant external field and vacuum instability