  The artificial gauge field for electrically neutral exciton polaritons devoid
from the polarization degree of freedom can be synthesized by means of applying
crossed electric and magnetic fields. The appearance of the gauge potential can
be ascribed to the motional (magneto-electric) Stark effect which is
responsible for the presence of a linear-in-momentum contribution to the
exciton kinetic energy. We study the interplay of this phenomenon with the
competing effect which arises from the Rabi-splitting renormalization due the
reduction of the electron-hole overlap for a moving exciton. Accounting for
this mechanism is crucial in the structures with the high ratio of Rabi
splitting and the exciton binding energy. Besides, we propose an approach which
boosts the gauge field in the considered system. It takes advantage of the
crossover from the hydrogen-like exciton to the strongly dipole-polarized
exciton state at a specific choice of electric and magnetic fields. The strong
sensitivity of the exciton energy to the momentum in this regime leads to the
large values of the gauge field. We consider the specific example of a GaAs
ring-shape polariton Berry phase interferometer and show that the flux of the
effective magnetic field may approach the flux quantum value in the considered
crossover regime.
