Fermionic neural Gibbs states
- URL: http://arxiv.org/abs/2512.04663v1
- Date: Thu, 04 Dec 2025 10:54:37 GMT
- Title: Fermionic neural Gibbs states
- Authors: Jannes Nys, Juan Carrasquilla,
- Abstract summary: We introduce fermionic neural Gibbs states (fNGS), a variational framework for modeling finite-temperature properties of strongly interacting fermions.<n>Applying to the doped Fermi-Hubbard model, fNGS accurately reproduces thermal energies over a broad range of temperatures, interaction strengths, even at large dopings.
- Score: 0.982187447690297
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We introduce fermionic neural Gibbs states (fNGS), a variational framework for modeling finite-temperature properties of strongly interacting fermions. fNGS starts from a reference mean-field thermofield-double state and uses neural-network transformations together with imaginary-time evolution to systematically build strong correlations. Applied to the doped Fermi-Hubbard model, a minimal lattice model capturing essential features of strong electronic correlations, fNGS accurately reproduces thermal energies over a broad range of temperatures, interaction strengths, even at large dopings, for system sizes beyond the reach of exact methods. These results demonstrate a scalable route to studying finite-temperature properties of strongly correlated fermionic systems beyond one dimension with neural-network representations of quantum states.
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