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

authored by: Michael Werner, Philip K. Schwartz, Jan-Niclas Kirsten-Siemß, Naceur Gaaloul, Domenico Giulini, Klemens Hammerer
Abstract: We present a systematic approach to determine all relativistic phases up to 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.
Organisation(s): CRC 1227 Designed Quantum States of Matter (DQ-mat)
Institute of Theoretical Physics
Institute of Quantum Optics
External Organisation(s): Center of Applied Space Technology and Microgravity (ZARM)
University of Bremen
Type: Article
Journal: Physical Review D
Volume: 109
ISSN: 2470-0010
Publication date: 29.01.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Nuclear and High Energy Physics
Electronic version(s): https://arxiv.org/abs/2310.03719 (Access: Open)
https://doi.org/10.1103/PhysRevD.109.022008 (Access: Closed)

BibTeX

@article{d2799ff927c644aab4352bb60e82517a,
title = "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 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. We compare our results to previous calculations conducted for a Mach-Zehnder interferometer.",
author = "Michael Werner and Schwartz, {Philip K.} and Jan-Niclas Kirsten-Siem{\ss} and Naceur Gaaloul and Domenico Giulini and Klemens Hammerer",
note = "Funding Information: Funded by the Deutsche Forschungsgemeinschaft (DFG)—SFB 1227, DQ-mat{\textquoteright}—Project-ID No. 274200144, project A05. We thank Ernst Rasel, Dennis Schlippert, Christian Schubert, and Enno Giese for insightful discussions.",
year = "2024",
month = jan,
day = "29",
doi = "10.1103/PhysRevD.109.022008",
language = "English",
volume = "109",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "2",
}