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

Michael Werner; Philip K. Schwartz; Jan-Niclas Kirsten-Siemß; Naceur Gaaloul; Domenico Giulini; Klemens Hammerer

doi:10.1103/PhysRevD.109.022008

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

Michael Werner^*
, Philip K. Schwartz
, Jan-Niclas Kirsten-Siemß
, Naceur Gaaloul
, Domenico Giulini
, Klemens Hammerer

^*Korrespondierende*r Autor*in für diese Arbeit

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Aufsatznummer	022008
Fachzeitschrift	Physical Review D
Jahrgang	109
Ausgabenummer	2
DOIs	https://doi.org/10.1103/PhysRevD.109.022008
Publikationsstatus	Veröffentlicht - 29 Jan. 2024

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Zugriff auf Dokument

10.1103/PhysRevD.109.022008Lizenz: Sonstige

https://arxiv.org/abs/2310.03719Lizenz: Arxiv nonexclusive-distrib 1.0

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

DQ-mat: Sonderforschungsbereich 1227/2: Designte Quantenzustände der Materie - Erzeugung, Manipulation und Detektion für metrologische Anwendungen und Tests fundamentaler Physik
Schmidt, P. O. (Projektleiter*in (Principal Investigator))
1 Juli 2020 → 30 Juni 2024
Projekt: Forschung
DQ-mat: Sonderforschungsbereich 1227/2, Teilprojekt A05: Theorie der LMT-Atominterferometer in Gravitationsfeldern
Gaaloul, N. (Projektleiter*in (Principal Investigator)), Giulini, D. (Projektleiter*in (Principal Investigator)) & Hammerer, K. J. (Projektleiter*in (Principal Investigator))
1 Juli 2020 → 30 Juni 2024
Projekt: Forschung
QuantumFrontiers: Exzellenzcluster 2123/1: Licht und Materie an der Quantengrenze
Schmidt, P. O. (Projektleiter*in (Principal Investigator)), Ospelkaus-Schwarzer, S. (Projektleiter*in (Principal Investigator)), Chichkov, B. (Projektleiter*in (Principal Investigator)), Danzmann, K. (Projektleiter*in (Principal Investigator)), Ertmer, W. (Projektleiter*in (Principal Investigator)), Hammerer, K. J. (Projektleiter*in (Principal Investigator)), Haug, R. (Projektleiter*in (Principal Investigator)), Heinzel, G. (Projektleiter*in (Principal Investigator)), Heurs, M. (Projektleiter*in (Principal Investigator)), Klempt, C. (Projektleiter*in (Principal Investigator)), Kroker, S. (Projektleiter*in (Principal Investigator)), Lisdat, C. (Projektleiter*in (Principal Investigator)), Mehlstäubler, T. (Projektleiter*in (Principal Investigator)), Müller, J. (Projektleiter*in (Principal Investigator)), Ospelkaus, C. (Projektleiter*in (Principal Investigator)), Rasel, E. M. (Projektleiter*in (Principal Investigator)), Recher, P. (Projektleiter*in (Principal Investigator)), Santos, L. S. (Projektleiter*in (Principal Investigator)), Schilling, M. (Projektleiter*in (Principal Investigator)), Schlickum, U. (Projektleiter*in (Principal Investigator)), Schumacher, H. W. (Projektleiter*in (Principal Investigator)), Surzhykov, A. (Projektleiter*in (Principal Investigator)), Waag, A. (Projektleiter*in (Principal Investigator)), Werner, R. (Projektleiter*in (Principal Investigator)) & Willke, B. (Projektleiter*in (Principal Investigator))
1 Jan. 2019 → 31 Dez. 2025
Projekt: Forschung

Dieses zitieren

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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.",

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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.

PY - 2024/1/29

Y1 - 2024/1/29

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85183985365

U2 - 10.1103/PhysRevD.109.022008

DO - 10.1103/PhysRevD.109.022008

M3 - Article

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ER -

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

Abstract

ASJC Scopus Sachgebiete

Zugriff auf Dokument

Andere Dateien und Links

Projekte

DQ-mat: Sonderforschungsbereich 1227/2: Designte Quantenzustände der Materie - Erzeugung, Manipulation und Detektion für metrologische Anwendungen und Tests fundamentaler Physik

DQ-mat: Sonderforschungsbereich 1227/2, Teilprojekt A05: Theorie der LMT-Atominterferometer in Gravitationsfeldern

QuantumFrontiers: Exzellenzcluster 2123/1: Licht und Materie an der Quantengrenze

Dieses zitieren