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Q: Fachverband Quantenoptik und Photonik

Q 62: Precision Measurements II (joint session Q/A)

Q 62.3: Vortrag

Freitag, 15. März 2024, 11:30–11:45, HS 1221

Analytical theory of double Bragg diffraction in light-pulse atom interferometers — •Rui Li¹, Klemens Hammerer², and Naceur Gaaloul¹ — ¹Leibniz University Hanover, Institute for quantum optics, Hannover, Germany — ²Leibniz University Hanover, Institute for theoretical physics, Hannover, Germany

In this talk, we provide some new physical insights into a recently used tool in atom interferometry, namely the double Bragg diffraction (DBD). We derive an effective two-level-system (TLS) Hamiltonian via Magnus expansion for describing the so-called *quasi-Bragg regime* where most light-pulse atom interferometers are operating. With this effective TLS Hamiltonian, we systematically study the effects of polarization error and AC-Stark shift due to second-order process on the efficiency of double-Bragg beam-splitters. Furthermore, we show that effects of Doppler broadening can be easily included by extending our TLS description to a three-level-system description. With the help of our effective theory, we design an optimal beam-splitter via a time-dependent detuning and show its robustness against polarization error and asymmetric beam-splitting due to Doppler effect.

This work is supported through the Deutsche Forschungsgemeinschaft (DFG) under EXC 2123 QuantumFrontiers, Project-ID 390837967 and under the CRC1227 within Project No. A05 as well as by DLR funds from the BMWi (50WM2250A-QUANTUS+)

Keywords: Atom interferometry; Double Bragg diffraction; Doppler broadening; Polarization error effect; Magnus expansion