Emergence of spin entanglement with the pseudogap onset in the Fermi-Hubbard model
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918534311837696 |
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| author | Bippus, Frederic Chalopin, Thomas Bellomia, Gabriele Roósz, Gergő Franz, Titus Georges, Antoine Kauch, Anna Bloch, Immanuel Held, Karsten |
| author_facet | Bippus, Frederic Chalopin, Thomas Bellomia, Gabriele Roósz, Gergő Franz, Titus Georges, Antoine Kauch, Anna Bloch, Immanuel Held, Karsten |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_31240 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Emergence of spin entanglement with the pseudogap onset in the Fermi-Hubbard model Bippus, Frederic Chalopin, Thomas Bellomia, Gabriele Roósz, Gergő Franz, Titus Georges, Antoine Kauch, Anna Bloch, Immanuel Held, Karsten Strongly Correlated Electrons Materials Science Quantum Gases Quantum Physics 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. |
| title | Emergence of spin entanglement with the pseudogap onset in the Fermi-Hubbard model |
| topic | Strongly Correlated Electrons Materials Science Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2605.31240 |