Details
| Original language | English |
|---|---|
| Article number | 033709 |
| Journal | Physical Review A |
| Volume | 102 |
| Issue number | 3 |
| Publication status | Published - 10 Sept 2020 |
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.
Keywords
- physics.atom-ph, quant-ph
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 102, No. 3, 033709, 10.09.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analytic theory for Bragg atom interferometry based on the adiabatic theorem
AU - Siemß, Jan-Niclas
AU - Fitzek, Florian
AU - Abend, Sven
AU - Rasel, Ernst M.
AU - Gaaloul, Naceur
AU - Hammerer, Klemens
N1 - 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 “Niedersächsisches Vorab” through “Förderung 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.
PY - 2020/9/10
Y1 - 2020/9/10
N2 - 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.
AB - 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.
KW - physics.atom-ph
KW - quant-ph
UR - http://www.scopus.com/inward/record.url?scp=85092560239&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.102.033709
DO - 10.1103/PhysRevA.102.033709
M3 - Article
VL - 102
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 3
M1 - 033709
ER -