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Erlangen 2022 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 22: Precision Measurements and Metrology I (joint session Q/A)

Q 22.13: Poster

Tuesday, March 15, 2022, 16:30–18:30, P

Analytic Theory for Diffraction Phases in Bragg Interferometry — •Jan-Niclas Siemss1,2, Florian Fitzek1,2, Ernst M. Rasel2, Naceur Gaaloul2, and Klemens Hammerer11Institut für Theoretische Physik, Leibniz Universität Hannover, Germany — 2Institut für Quantenoptik, Leibniz Universität Hannover, Germany

High-fidelity Bragg pulses operate in the quasi-Bragg regime. While such pulses enable an efficient population transfer essential for state-of-the-art atom interferometers, the diffraction phase and its dependence on the pulse parameters are currently not well characterized despite playing a key role in the systematics of these interferometers. We demonstrate that the diffraction phase when measuring relative atom numbers originates from the fact that quasi-Bragg beam splitters and mirrors are fundamentally multi-port operations governed by Landau-Zener physics (Siemß et al., Phys. Rev. A 102, 033709).

We develop a multi-port scattering matrix representation of the popular Mach-Zehnder atom interferometer and discuss the connection between its phase estimation properties and the parameters of the Bragg pulses. Furthermore, our model includes the effects of linear Doppler shifts applicable to narrow atomic velocity distributions on the scale of the photon recoil of the optical lattice.

This work is supported through the Deutsche Forschungsge- meinschaft (DFG) under EXC 2123 QuantumFrontiers, Project-ID 390837967 and under the CRC1227 within Project No. A05 as well as by the VDI with funds provided by the BMBF under Grant No. VDI 13N14838 (TAIOL).

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