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

Abstract

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-Bordé interferometers, as well as a symmetric double diffraction interferometer with baseline lengths of 10 m and 100 m. We compare our results to previous calculations conducted for a Mach-Zehnder interferometer.

22 pages, 3 figures, 4 tables

References in corpus (11)

• Measurement of the fine-structure constant as a test of the Standard Model
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Testing General Relativity with Atom Interferometry
• An Atomic Gravitational Wave Interferometric Sensor (AGIS)
• Quantum Test of the Universality of Free Fall
• General Relativistic Effects in Atom Interferometry
• Measurement of the Gravity-Field Curvature by Atom Interferometry
• Atom-wave diffraction between the Raman-Nath and the Bragg regime: Effective Rabi frequency, losses, and phase shifts
• Atom gravimeters and gravitational redshift
• Light propagation and atom interferometry in gravity and dilaton fields
• Geometric post-Newtonian description of massive spin-half particles in curved spacetime

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