Gravitationally induced phase shift on a single photon

The effect of the Earth's gravitational potential on a quantum wave function has only been observed for massive particles. In this paper we present a scheme to measure a gravitationally induced phase shift on a single photon traveling in a coherent superposition along different paths of an opti...

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Main Authors: Hilweg, Christopher, Massa, Francesco, Walther, Philip, Chrusciel, Piotr T, Martynov, Denis, Mavalvala, Nergis
Other Authors: LIGO (Observatory : Massachusetts Institute of Technology)
Format: Article
Language:en_US
Published: IOP Publishing 2017
Online Access:http://hdl.handle.net/1721.1/110023
https://orcid.org/0000-0003-0219-9706
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author Hilweg, Christopher
Massa, Francesco
Walther, Philip
Chrusciel, Piotr T
Martynov, Denis
Mavalvala, Nergis
author2 LIGO (Observatory : Massachusetts Institute of Technology)
author_facet LIGO (Observatory : Massachusetts Institute of Technology)
Hilweg, Christopher
Massa, Francesco
Walther, Philip
Chrusciel, Piotr T
Martynov, Denis
Mavalvala, Nergis
author_sort Hilweg, Christopher
collection MIT
description The effect of the Earth's gravitational potential on a quantum wave function has only been observed for massive particles. In this paper we present a scheme to measure a gravitationally induced phase shift on a single photon traveling in a coherent superposition along different paths of an optical fiber interferometer. To create a measurable signal for the interaction between the static gravitational potential and the wave function of the photon, we propose a variant of a conventional Mach–Zehnder interferometer. We show that the predicted relative phase difference of 10⁻⁵ rad is measurable even in the presence of fiber noise, provided additional stabilization techniques are implemented for each arm of a large-scale fiber interferometer. Effects arising from the rotation of the Earth and the material properties of the fibers are analysed. We conclude that optical fiber interferometry is a feasible way to measure the gravitationally induced phase shift on a single-photon wave function, and thus provides a means to corroborate the equivalence of the energy of the photon and its effective gravitational mass.
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spelling mit-1721.1/1100232022-10-01T00:33:29Z Gravitationally induced phase shift on a single photon Hilweg, Christopher Massa, Francesco Walther, Philip Chrusciel, Piotr T Martynov, Denis Mavalvala, Nergis LIGO (Observatory : Massachusetts Institute of Technology) Martynov, Denis Mavalvala, Nergis The effect of the Earth's gravitational potential on a quantum wave function has only been observed for massive particles. In this paper we present a scheme to measure a gravitationally induced phase shift on a single photon traveling in a coherent superposition along different paths of an optical fiber interferometer. To create a measurable signal for the interaction between the static gravitational potential and the wave function of the photon, we propose a variant of a conventional Mach–Zehnder interferometer. We show that the predicted relative phase difference of 10⁻⁵ rad is measurable even in the presence of fiber noise, provided additional stabilization techniques are implemented for each arm of a large-scale fiber interferometer. Effects arising from the rotation of the Earth and the material properties of the fibers are analysed. We conclude that optical fiber interferometry is a feasible way to measure the gravitationally induced phase shift on a single-photon wave function, and thus provides a means to corroborate the equivalence of the energy of the photon and its effective gravitational mass. 2017-06-19T19:24:10Z 2017-06-19T19:24:10Z 2017-03 2017-02 Article http://purl.org/eprint/type/JournalArticle 1367-2630 http://hdl.handle.net/1721.1/110023 Hilweg, Christopher; Massa, Francesco; Martynov, Denis; Mavalvala, Nergis; Chruściel, Piotr T and Walther, Philip. “Gravitationally Induced Phase Shift on a Single Photon.” New Journal of Physics 19, no. 3 (March 2017): 033028 © 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft https://orcid.org/0000-0003-0219-9706 en_US http://dx.doi.org/10.1088/1367-2630/aa638f New Journal of Physics Creative Commons Attribution 4.0 International License http://creativecommons.org/licenses/by/4.0/ application/pdf IOP Publishing IOP Publishing
spellingShingle Hilweg, Christopher
Massa, Francesco
Walther, Philip
Chrusciel, Piotr T
Martynov, Denis
Mavalvala, Nergis
Gravitationally induced phase shift on a single photon
title Gravitationally induced phase shift on a single photon
title_full Gravitationally induced phase shift on a single photon
title_fullStr Gravitationally induced phase shift on a single photon
title_full_unstemmed Gravitationally induced phase shift on a single photon
title_short Gravitationally induced phase shift on a single photon
title_sort gravitationally induced phase shift on a single photon
url http://hdl.handle.net/1721.1/110023
https://orcid.org/0000-0003-0219-9706
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