The Hamiltonian
H = −t ∑⟨ij⟩,σ (c†iσcjσ + h.c.) + U ∑i ni↑ni↓
t = 1, U = 8, N↑ = N↓ = 28 on 64 sites.
- lattice
- square
- sites
- 64
- boundary
- periodic
- Nf
- 28
- U
- 8
- energies
- 8
Stored as a total energy in the convention of
VarBench; quoted here as
E/site, which is what the papers report
(how the conversion works).
How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.7458(6) — Jastrow-backflow (JBf), 8x8 torus
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7458 (+/- 0.0006), sigma^2/M = 0.0525
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Row "JBf (8x8 Torus)".
-0.7454(9) — Hidden-fermion determinant state (HFDS), 8x8 torus
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7454 (+/- 0.0009), sigma^2/M = 0.0563
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Row "HFDS (8x8 Torus)".
-0.7422(3) — JBf-ViT (vision transformer backflow), 8x8 torus
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.7422 (+/- 0.0003), sigma^2/M = 0.0698
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "JBf-ViT"; same lattice and parameters per the caption.
-0.736(1) — HFDS-ViT, 8x8 torus
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.736 (+/- 0.001), sigma^2/M = 0.105
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "HFDS-ViT".
-0.729(4) — HFDS Symm-ViT-Ti, 8x8 torus
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.729 (+/- 0.004), sigma^2/M = 0.139
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "HFDS Symm-ViT-Ti".
-0.726(9) — JBf Symm-ViT-Ti, 8x8 torus
Checked 2026-09-14 · arXiv HTML parsed locally, no LLM transcription
Reported as. E_0/M = -0.726 (+/- 0.009), sigma^2/M = 0.168
Read from Table 1 of arXiv:2510.11710 (U/t = 8, n_h = 1/8, energies per site, 131072 samples), parsed from the arXiv HTML. Right-hand table, row "JBf Symm-ViT-Ti".