Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations

Understand

We present a systematic approach to determine all relativistic phases up to $\mathcal{O}(c^{-2})$ in light-pulse atom interferometers in weakly curved spacetime that are based on elastic scattering, namely Bragg diffraction and Bloch oscillations.

• Our analysis is derived from first principles using the parameterized post-Newtonian formalism.
• In the treatment developed here, we derive algebraic expressions for relativistic phases for arbitrary interferometer geometries in an automated manner.
• As case studies, we consider symmetric and antisymmetric Ramsey-Bord\'e interferometers, as well as a symmetric double diffraction interferometer with baseline lengths of 10 m and 100 m.