  Quantum entanglement provides a novel way to test short distance physics in
the non-relativistic regime. We will provide a protocol to {\it potentially}
test new physics by bringing two charged massive particle interferometers
adjacent to each other. Being charged, the two superpositions will be entangled
via electromagnetic interactions mediated by the photons, including the Coulomb
and the Casimir-Polder potential. We will bring a method of {\it entanglement
based tomography} to seek time evolution of very small entanglement phases to
probe new physical effects mediated by {\it hitherto unknown macroscopic force}
which might be responsible for entangling the two charged superpositions
modelled by the Yukawa type potential. We will be able to constrain the Yukawa
couplings $\alpha \geq 10^{-35}$ for $r\geq 10^{-6}$m for new physics occurring
in the electromagnetic sector, and in the gravitational potential $\alpha_g
\geq 10^{-8}$ for $r \geq 10^{-6}$m. Furthermore, our protocol can also
constrain the axion like particle mass and coupling, which is complimentary to
the existing experimental bounds.
