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.

arXiv comment22 pages, 3 figures, 4 tables

References in corpus (45)

• CPT Violation and the Standard Model
• Measurement of the fine-structure constant as a test of the Standard Model
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Multi-axis inertial sensing with long-time point source atom interferometry
• Testing General Relativity with Atom Interferometry
• AION: An Atom Interferometer Observatory and Network
• An Atomic Gravitational Wave Interferometric Sensor (AGIS)
• Quantum Test of the Universality of Free Fall
• Quantum interferometric visibility as a witness of general relativistic proper time
• Gravity surveys using a mobile atom interferometer
• General Relativistic Effects in Atom Interferometry
• ZAIGA: Zhaoshan Long-baseline Atom Interferometer Gravitation Antenna
• Theoretical Aspects of the Equivalence Principle
• Measurement of the Gravity-Field Curvature by Atom Interferometry
• Effective inertial frame in an atom interferometric test of the equivalence principle
• Atom-wave diffraction between the Raman-Nath and the Bragg regime: Effective Rabi frequency, losses, and phase shifts
• ELGAR -- a European Laboratory for Gravitation and Atom-interferometric Research
• Use of MESSENGER radioscience data to improve planetary ephemeris and to test general relativity
• Circumventing Heisenberg's uncertainty principle in atom interferometry tests of the equivalence principle
• Does an atom interferometer test the gravitational redshift at the Compton frequency ?
• Double Bragg diffraction: A tool for atom optics
• Gravitational redshift in quantum-clock interferometry
• Three-path atom interferometry with large momentum separation
• Stellar and substellar objects in modified gravity
• Atom gravimeters and gravitational redshift
• Post-Newtonian Hamiltonian description of an atom in a weak gravitational field
• Interference of Clocks: A Quantum Twin Paradox
• Gravitational Redshift Tests with Atomic Clocks and Atom Interferometers
• Metrology with Atom Interferometry: Inertial Sensors from Laboratory to Field Applications
• Mass-energy and anomalous friction in quantum optics
• Atom-interferometric test of the universality of gravitational redshift and free fall
• Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks
• Bragg gravity-gradiometer using the ${}^1$S${}_0$-${}^3$P${}_1$ intercombination transition of ${}^{88}$Sr
• Analytic theory for Bragg atom interferometry based on the adiabatic theorem
• Resolution of the Co-Location Problem in Satellite Quantum Tests of the Universality of Free Fall
• Gravity field modelling for the Hannover 10m atom interferometer
• Universality-of-clock-rates test using atom interferometry with $T^3$ scaling
• Light propagation and atom interferometry in gravity and dilaton fields
• Universal Atom Interferometer Simulator -- Elastic Scattering Processes
• The Roentgen interaction and forces on dipoles in time-modulated optical fields
• Post-Newtonian effects of Dirac particle in curved spacetime - III : the muon g-2 in the Earth's gravity
• The general relativistic effects to the magnetic moment in the Earth's gravity
• Post-Newtonian effects of Dirac particle in curved spacetime - II : the electron g-2 in the Earth's gravity
• Geometric post-Newtonian description of massive spin-half particles in curved spacetime
• Quantum Clocks, Gravitational Time Dilation, and Quantum Interference

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