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

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  • Center of Applied Space Technology and Microgravity (ZARM)
  • University of Bremen
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Original languageEnglish
Article number022008
JournalPhysical Review D
Volume109
Issue number2
Publication statusPublished - 29 Jan 2024

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.

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Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations. / Werner, Michael; Schwartz, Philip K.; Kirsten-Siemß, Jan-Niclas et al.
In: Physical Review D, Vol. 109, No. 2, 022008, 29.01.2024.

Research output: Contribution to journalArticleResearchpeer review

Werner M, Schwartz PK, Kirsten-Siemß JN, Gaaloul N, Giulini D, Hammerer K. Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations. Physical Review D. 2024 Jan 29;109(2):022008. doi: 10.1103/PhysRevD.109.022008
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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.",
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AU - Werner, Michael

AU - Schwartz, Philip K.

AU - Kirsten-Siemß, Jan-Niclas

AU - Gaaloul, Naceur

AU - Giulini, Domenico

AU - Hammerer, Klemens

N1 - Funding Information: Funded by the Deutsche Forschungsgemeinschaft (DFG)—SFB 1227, DQ-mat’—Project-ID No. 274200144, project A05. We thank Ernst Rasel, Dennis Schlippert, Christian Schubert, and Enno Giese for insightful discussions.

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