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TT: Fachverband Tiefe Temperaturen

TT 10: Correlated Electrons: Other Theoretical Topics

TT 10.1: Vortrag

Montag, 9. März 2026, 11:00–11:15, HSZ/0103

Two site entanglement and maximal correlations in the Hubbard model — Frederic Bippus¹, Anna Kauch¹, •Gergo Roosz¹, Christian Mayrhofer¹, Fakher Assaad^2,3, and Karsten Held¹ — ¹Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria — ²Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg Germany — ³Würzburg-Dresden Cluster of Excellence ct.qmat, Am Hubland, 97074 Würzburg, Germany

The study of entanglement in strongly correlated electron systems typically requires knowledge of the reduced density matrix. Here, we apply the parquet dynamical vertex approximation to study the two-site reduced density matrix at varying distance, in the Hubbard model at weak coupling. This allows us to investigate the spatial structure of entanglement in dependence of interaction strength, electron filling, and temperature. We compare results from different entanglement measures and benchmark against quantum Monte Carlo. Using the two-site density matrix, we compute the fermionic entanglement negativity, the mutual information between the two sites. We determine the maximal correlation function between the two lattice points.

Keywords: Hubbard model; dynamical vertex approximation; entanglement; density matrix