The principles of neutron polarimetry are introduced in the context of the next generation of polarimeter being built by the Neutron Spin Rotation (NSR) collaboration at Indiana University. The dual goals of this experimental effort are:
- to perform the first non-zero measurement of the parity-violating neutron spin rotation in liquid Helium-4 in order to provide much needed experimental input to the theory of the Hadronic Weak Interaction (HWI). This requires the measurement of the rotation of the neutron polarization to the scale of <10E-7 radians.
- to improve existing constraints of exotic spin-dependent forces by 2 orders of magnitude using a separate room temperature target system.
A new extension of this traditional polarimetry technique is the use of neutron spin-echo devices as a method of creating polarized single-neutron mode-entangled interferometers. While these devices provide an unprecedented opportunity to probe entanglement within materials science, I will emphasize their unique capability to provide insight into the interface between fundamental aspects of non-relativistic quantum mechanical systems and gravitation. I present the status of the ongoing analysis of data collected on the Offspec spin-echo instrument at the ISIS/RAL neutron science facility within the framework of the Standard Model Extension (SME). The Fermion-Gravity sector of the SME, which remains widely unconstrained, presents all possible non-relativistic Lorentz-Violating operators which couple the spin, momenta, and position of fermonic matter to the gravitational field.