Emergence of spin entanglement with the pseudogap onset in the Fermi-Hubbard model

• URL: http://arxiv.org/abs/2605.31240v1
• Date: Fri, 29 May 2026 12:40:45 GMT
• Title: Emergence of spin entanglement with the pseudogap onset in the Fermi-Hubbard model
• Abstract summary: We show that entanglement emerges only as the pseudogap sets in and, in contrast to classical correlations, remains confined to nearest-neighbour sites.<n>Our results disfavour purely classical-fluctuation theories of the pseudogap and constrain microscopic models to those that develop nearest-neighbour spin-singlet entanglement at the pseudogap onset.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Despite decades of intense theoretical and experimental investigation, the two-dimensional Fermi-Hubbard model still resists a complete microscopic understanding. Conventional approaches typically probe global observables and locally resolved correlation functions. Here, we develop a complementary perspective based on the measurement of entanglement. Using both an ultracold-atom quantum simulator and numerical simulations based on the dynamical vertex approximation, we find that entanglement is closely tied to the onset of the enigmatic pseudogap regime: spin-singlet entanglement emerges only as the pseudogap sets in and, in contrast to classical correlations, remains confined to nearest-neighbour sites in this regime. Our results, therefore, disfavour purely classical-fluctuation theories of the pseudogap and constrain microscopic models to those that develop nearest-neighbour spin-singlet entanglement at the pseudogap onset.

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