Two-site entanglement in the two-dimensional Hubbard model
Frederic Bippus, Anna Kauch, Gerg\H{o} Ro\'osz, Christian Mayrhofer, Fakher Assaad, Karsten Held
TL;DR
This paper investigates the spatial structure of two-site entanglement in the two-dimensional Hubbard model at weak coupling, using advanced approximation methods and benchmarking against quantum Monte Carlo results.
Contribution
It introduces the application of the parquet dynamical vertex approximation to analyze two-site entanglement in the Hubbard model, providing new insights into its spatial and interaction dependence.
Findings
Entanglement varies with interaction strength, filling, and temperature.
Results are benchmarked successfully against quantum Monte Carlo.
The method reveals detailed spatial entanglement structure.
Abstract
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.
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