Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914669401210880 |
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| author | Werner, Michael Schwartz, Philip K. Kirsten-Siemß, Jan-Niclas Gaaloul, Naceur Giulini, Domenico Hammerer, Klemens |
| author_facet | Werner, Michael Schwartz, Philip K. Kirsten-Siemß, Jan-Niclas Gaaloul, Naceur Giulini, Domenico Hammerer, Klemens |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03719 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations Werner, Michael Schwartz, Philip K. Kirsten-Siemß, Jan-Niclas Gaaloul, Naceur Giulini, Domenico Hammerer, Klemens General Relativity and Quantum Cosmology Quantum Physics 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. |
| title | Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2310.03719 |