Testing Supersymmetric Hidden Sectors with Long-Baseline Atom Interferometers

Abstract: Atomic interferometry provides a sensitive near Earth probe of high energy physics through precision measurements of quantum phase. In this Letter, we point out that MAGIS and AION like long-baseline atom interferometers can also be used to test supersymmetric hidden sectors, if these sectors contain ultralight moduli, dilatons or hidden scalars that induce coherent phase oscillations. In such a setup, the measured atomic phase does not only constrain an effective phenomenological scalar coupling. It can be related to derivatives of supersymmetric gauge kinetic functions, Kähler metrics, Yukawa couplings, Higgs sector parameters and the QCD scale along light hidden sector directions. We derive the mapping from a generic SUSY/SUGRA modulus to the effective atom interferometric coupling, and show that future phase sensitivities may probe very small visible sector admixtures of otherwise hidden fields. This identifies MAGIS/AION type experiments as non-collider probes of supersymmetric and string-motivated infrared relics, complementary to gravitational wave, astrophysical and collider searches.