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

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  • Zentrum für angewandte Raumfahrt­technologie und Mikro­gravitation (ZARM)
  • Universität Bremen
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Details

OriginalspracheEnglisch
Aufsatznummer022008
FachzeitschriftPhysical Review D
Jahrgang109
Ausgabenummer2
PublikationsstatusVeröffentlicht - 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, Jahrgang 109, Nr. 2, 022008, 29.01.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-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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