Equivalence principle and quantum mechanics: quantum simulation with entangled photons. (arXiv:1712.02054v1 [quant-ph])

Einstein`s equivalence principle states the complete physical equivalence of
a gravitational field and corresponding inertial field in an accelerated
reference frame. However, to what extent the equivalence principle remains
valid in non-relativistic quantum mechanics is a controversial issue. To avoid
violation of the equivalence principle, Bargmann`s superselection rule forbids
a coherent superposition of states with different masses. Here we suggest a
quantum simulation of non-relativistic Schr\"odinger particle dynamics in
non-inertial reference frames, which is based on propagation of
polarization-entangled photon pairs in curved and birefringent optical
waveguides and Hong-Ou-Mandel quantum interference measurement. The photonic
simulator can emulate superposition of mass states, which would lead to
violation of the EP.

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