Analytic theory for Bragg atom interferometry based on the adiabatic theorem

verfasst von: Jan-Niclas Siemß, Florian Fitzek, Sven Abend, Ernst M. Rasel, Naceur Gaaloul, Klemens Hammerer
Abstract: High-fidelity Bragg pulses are an indispensable tool for state-of-the-art atom interferometry experiments. In this paper, we introduce an analytic theory for such pulses. Our theory is based on the pivotal insight that the physics of Bragg pulses can be accurately described by the adiabatic theorem. We show that efficient Bragg diffraction is possible with any smooth and adiabatic pulse shape and that high-fidelity Gaussian pulses are exclusively adiabatic. Our results give strong evidence that adiabaticity according to the adiabatic theorem is a necessary requirement for high-performance Bragg pulses. Our model provides an intuitive understanding of the Bragg condition, also referred to as the condition on the "pulse area."It includes corrections to the adiabatic evolution due to Landau-Zener processes as well as the effects of a finite atomic velocity distribution. We verify our model by comparing it to an exact numerical integration of the Schrödinger equation for Gaussian pulses diffracting four, six, eight, and ten photon recoils. Our formalism provides an analytic framework to study systematic effects as well as limitations to the accuracy of atom interferometers employing Bragg optics that arise due to the diffraction process.
Organisationseinheit(en): Institut für Theoretische Physik
Institut für Quantenoptik
Quantum Atom Optics
QuantumFrontiers
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
Typ: Artikel
Journal: Physical Review A
Band: 102
ISSN: 2469-9926
Publikationsdatum: 10.09.2020
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Atom- und Molekularphysik sowie Optik
Elektronische Version(en): https://arxiv.org/abs/2002.04588 (Zugang: Offen)
https://doi.org/10.1103/PhysRevA.102.033709 (Zugang: Geschlossen)

BibTeX

@article{e009ba7860bf426a9f620e30e27a6fd8,
title = "Analytic theory for Bragg atom interferometry based on the adiabatic theorem",
abstract = "High-fidelity Bragg pulses are an indispensable tool for state-of-the-art atom interferometry experiments. In this paper, we introduce an analytic theory for such pulses. Our theory is based on the pivotal insight that the physics of Bragg pulses can be accurately described by the adiabatic theorem. We show that efficient Bragg diffraction is possible with any smooth and adiabatic pulse shape and that high-fidelity Gaussian pulses are exclusively adiabatic. Our results give strong evidence that adiabaticity according to the adiabatic theorem is a necessary requirement for high-performance Bragg pulses. Our model provides an intuitive understanding of the Bragg condition, also referred to as the condition on the {"}pulse area.{"}It includes corrections to the adiabatic evolution due to Landau-Zener processes as well as the effects of a finite atomic velocity distribution. We verify our model by comparing it to an exact numerical integration of the Schr{\"o}dinger equation for Gaussian pulses diffracting four, six, eight, and ten photon recoils. Our formalism provides an analytic framework to study systematic effects as well as limitations to the accuracy of atom interferometers employing Bragg optics that arise due to the diffraction process.",
keywords = "physics.atom-ph, quant-ph",
author = "Jan-Niclas Siem{\ss} and Florian Fitzek and Sven Abend and Rasel, {Ernst M.} and Naceur Gaaloul and Klemens Hammerer",
note = "Funding Information: We thank E. Giese and S. Loriani for carefully reading the paper and C. Schubert for fruitful discussions. This work was funded by the Deutsche Forschungsgemeinschaft (German Research Foundation) under Germany's Excellence Strategy (EXC-2123 QuantumFrontiers Grants No. 390837967) and through CRC 1227 (DQ-mat) within Projects No. A05 and No. B07, the Verein Deutscher Ingenieure (VDI) with funds provided by the German Federal Ministry of Education and Research (BMBF) under Grant No. VDI 13N14838 (TAIOL), and the German Space Agency (DLR) with funds provided by the German Federal Ministry of Economic Affairs and Energy (German Federal Ministry of Education and Research (BMBF)) due to an enactment of the German Bundestag under Grants No. DLR 50WM1952 (QUANTUS-V-Fallturm), No. 50WP1700 (BECCAL), No. 50WM1861 (CAL), No. 50WM2060 (CARIOQA), and No. 50RK1957 (QGYRO). We furthermore acknowledge financial support from “Nieders{\"a}chsisches Vorab” through “F{\"o}rderung von Wissenschaft und Technik in Forschung und Lehre” for the initial funding of research in the new DLR-SI Institute and the “Quantum- and Nano Metrology (QUANOMET)” initiative within Project No. QT3.",
year = "2020",
month = sep,
day = "10",
doi = "10.1103/PhysRevA.102.033709",
language = "English",
volume = "102",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "3",
}