Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 51: Correlated Electrons: Method Development II
TT 51.2: Talk
Wednesday, March 11, 2026, 15:15–15:30, HSZ/0101
Study of a two-dimensional Rydberg array in a cavity with neural quantum states — •Noe Salmeron1, Marin Bukov2, and Markus Schmitt1,3 — 1University of Regensburg, Germany — 2Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 3Institute of Quantum Control (PGI-8), Forschungszentrum Jülich, Germany
Recent advances in cold atom manipulation enable the study of many-body systems where both short-range interactions between neighboring atoms and long-range interactions mediated by photons coexist. Such a combination of interactions makes a theoretical approach challenging beyond mean-field methods. In this work, we develop numerical techniques to investigate one of the simplest model capturing these features: a two dimensional lattice of Rydberg atoms coupled to a single photon mode. We use neural quantum states coupled with stochastic reconfiguration to obtain the ground state on lattices with hundreds of sites. We adapt a neural network architecture commonly used for spin models, to incorporate the additional photon mode. This allows us to capture spin-spin and spin-photon correlations and we explore how the fully correlated ground states deviate from mean field theory. The resulting method provides a scalable approach for investigating the ground state properties of such systems.
Keywords: Rydberg; photon; neural; network; cavity