Prospects for measuring the electron's electric dipole moment with polyatomic molecules in an optical lattice

Abstract

We present the conceptual design of an experiment to measure the electron's electric dipole moment (eEDM) using 138 BaOH molecules in an optical lattice. The BaOH molecule is laser-coolable and highly sensitive to the eEDM, making it an attractive candidate for such a precision measurement, and capturing it in an optical lattice offers potentially very long coherence times. We study possibilities and limitations of this approach, identify the most crucial limiting factors and ways to overcome them. The proposed apparatus can reach a statistical error of 10−30𝑒cm by measuring spin precession on a total number of 5×109 molecules over a span of 120 days.