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Q: Fachverband Quantenoptik und Photonik

Q 61: Matter Wave Interferometry and Metrology III

Q 61.6: Talk

Thursday, March 5, 2026, 15:45–16:00, P 11

Phase reconstruction for lattice-confined cold atoms from matter-wave interference measurements — •Niklas Euler1, Justus Brüggenjürgen2, Christof Weitenberg3, and Martin Gärttner11IFTO, FSU Jena, Max-Wien-Platz 1, 07743 Jena, Germany — 2IQOQI, Technikerstraße 21a, 6020 Innsbruck, Austria — 3TU Dortmund, Otto-Hahn-Straße 4a, 44227 Dormund, Germany

In recent years, cold-atom experiments with single-site imaging have become state of the art in matter-wave microscopy, providing unrivaled resolution in position-space measurements. However, achieving similar resolution in different measurement bases has remained challenging for lattice-confined atoms, restricting access to general microscopic state properties. Of special importance to several research avenues is the determination of the phase structure of a quantum state, with previous proposals working only in the regime of weak phase fluctuations. Here, we propose a novel scheme for the reconstruction of quantum phases using only high-precision density measurements after short time evolution, exploiting the sensitivity of the emerging interference pattern with respect to the phases. Our method decomposes the quantum state into local modes that are individually evolved in time, transforming the phase reconstruction into a set of low-dimensional optimization problems with overall linear scaling in the system size. To demonstrate its effectiveness, we applied our method to both synthetic and experimental data and find a generally high reconstruction quality and remarkable robustness to common experimental noise sources.

Keywords: matter wave interference; phase reconstruction; cold atoms; optical lattice; quantum gas microscope

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