Proposed Measurement of tensor polarizability of ground state Cesium atoms

We propose a new way to measure the tensor polarizability of Cesium ground states. The measurement will take advantage of the apparatus we are using to search for the electron electric dipole moment (eEDM), with cold atoms trapped in optical lattices and in high electric fields. By independently measuring the population in each individual magnetic sublevel, we will simultaneously measure transitions between the m$_{\mathrm{F}}=$\textpm 2 states and the m$_{\mathrm{F}}=$\textpm 3 states. With this direct measurement of tensor energy shifts, we anticipate an order of magnitude improvement in precision over the current experimental value [S. Ulzega, et al,~Phys. Rev. A~75, 042505 (2007)1], ultimately limited by our ability to account for tensor light shifts due to the optical lattice.