Universal atom interferometer simulation of elastic scattering processes

Abstract In this article, we introduce a universal simulation framework covering all regimes of matter-wave light-pulse elastic scattering. Applied to atom interferometry as a study case, this simulator solves the atom-light diffraction problem in the elastic case, i.e., when the internal state of t...

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Autores principales: Florian Fitzek, Jan-Niclas Siemß, Stefan Seckmeyer, Holger Ahlers, Ernst M. Rasel, Klemens Hammerer, Naceur Gaaloul
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Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/1c502128a6814564954be33964d8fe0d
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spelling oai:doaj.org-article:1c502128a6814564954be33964d8fe0d2021-12-02T12:42:18ZUniversal atom interferometer simulation of elastic scattering processes10.1038/s41598-020-78859-12045-2322https://doaj.org/article/1c502128a6814564954be33964d8fe0d2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-78859-1https://doaj.org/toc/2045-2322Abstract In this article, we introduce a universal simulation framework covering all regimes of matter-wave light-pulse elastic scattering. Applied to atom interferometry as a study case, this simulator solves the atom-light diffraction problem in the elastic case, i.e., when the internal state of the atoms remains unchanged. Taking this perspective, the light-pulse beam splitting is interpreted as a space and time-dependent external potential. In a shift from the usual approach based on a system of momentum-space ordinary differential equations, our position-space treatment is flexible and scales favourably for realistic cases where the light fields have an arbitrary complex spatial behaviour rather than being mere plane waves. Moreover, the solver architecture we developed is effortlessly extended to the problem class of trapped and interacting geometries, which has no simple formulation in the usual framework of momentum-space ordinary differential equations. We check the validity of our model by revisiting several case studies relevant to the precision atom interferometry community. We retrieve analytical solutions when they exist and extend the analysis to more complex parameter ranges in a cross-regime fashion. The flexibility of the approach, the insight it gives, its numerical scalability and accuracy make it an exquisite tool to design, understand and quantitatively analyse metrology-oriented matter-wave interferometry experiments.Florian FitzekJan-Niclas SiemßStefan SeckmeyerHolger AhlersErnst M. RaselKlemens HammererNaceur GaaloulNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-17 (2020)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Florian Fitzek
Jan-Niclas Siemß
Stefan Seckmeyer
Holger Ahlers
Ernst M. Rasel
Klemens Hammerer
Naceur Gaaloul
Universal atom interferometer simulation of elastic scattering processes
description Abstract In this article, we introduce a universal simulation framework covering all regimes of matter-wave light-pulse elastic scattering. Applied to atom interferometry as a study case, this simulator solves the atom-light diffraction problem in the elastic case, i.e., when the internal state of the atoms remains unchanged. Taking this perspective, the light-pulse beam splitting is interpreted as a space and time-dependent external potential. In a shift from the usual approach based on a system of momentum-space ordinary differential equations, our position-space treatment is flexible and scales favourably for realistic cases where the light fields have an arbitrary complex spatial behaviour rather than being mere plane waves. Moreover, the solver architecture we developed is effortlessly extended to the problem class of trapped and interacting geometries, which has no simple formulation in the usual framework of momentum-space ordinary differential equations. We check the validity of our model by revisiting several case studies relevant to the precision atom interferometry community. We retrieve analytical solutions when they exist and extend the analysis to more complex parameter ranges in a cross-regime fashion. The flexibility of the approach, the insight it gives, its numerical scalability and accuracy make it an exquisite tool to design, understand and quantitatively analyse metrology-oriented matter-wave interferometry experiments.
format article
author Florian Fitzek
Jan-Niclas Siemß
Stefan Seckmeyer
Holger Ahlers
Ernst M. Rasel
Klemens Hammerer
Naceur Gaaloul
author_facet Florian Fitzek
Jan-Niclas Siemß
Stefan Seckmeyer
Holger Ahlers
Ernst M. Rasel
Klemens Hammerer
Naceur Gaaloul
author_sort Florian Fitzek
title Universal atom interferometer simulation of elastic scattering processes
title_short Universal atom interferometer simulation of elastic scattering processes
title_full Universal atom interferometer simulation of elastic scattering processes
title_fullStr Universal atom interferometer simulation of elastic scattering processes
title_full_unstemmed Universal atom interferometer simulation of elastic scattering processes
title_sort universal atom interferometer simulation of elastic scattering processes
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/1c502128a6814564954be33964d8fe0d
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AT holgerahlers universalatominterferometersimulationofelasticscatteringprocesses
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