{
  "model": "Hubbard",
  "lattice": "square",
  "n_sites": 64,
  "boundary": "P",
  "params": {
    "Nf": 25,
    "U": 8
  },
  "instance_id": "Hubbard/square_64_P_25_8",
  "rows": [
    {
      "energy": -58.549,
      "sigma": 0.001031,
      "energy_variance": 2.58,
      "dof": 50,
      "einf": 78.125,
      "v_score": 0.00690586207558429,
      "method": "mVMC with SU(2) and momentum projections (gamma point) + RBM + Lanczos, (U=8), alpha = 8 with 1x1 RBM subspace",
      "bound_type": "variational",
      "bound_type_reason": "vmc|\\brbm\\b|\\brnn\\b|jast",
      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/Hubbard/square_64_P_25_8/mVMC/mVMC.sh)",
      "source": "varbench@2024-10-22",
      "provenance": "imported",
      "baseline": true
    },
    {
      "energy": -58.2476,
      "sigma": 0.0014,
      "energy_variance": 3.46,
      "dof": 50,
      "einf": 78.125,
      "v_score": 0.00930233256870634,
      "method": "VMC with uniform BCS pairing (+Jastrow and backflow)",
      "bound_type": "variational",
      "bound_type_reason": "vmc|\\brbm\\b|\\brnn\\b|jast",
      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/Hubbard/square_64_P_25_8/VMC-uniform/vmc_hubbard.sh)",
      "source": "varbench@2024-10-22",
      "provenance": "imported",
      "baseline": true
    },
    {
      "energy": -58.4802,
      "sigma": 0.0006,
      "energy_variance": null,
      "dof": 50,
      "einf": 78.125,
      "v_score": null,
      "method": "FN on the state above",
      "bound_type": "projected",
      "bound_type_reason": "fixed[- ]node|^fn\\b|\\bfn",
      "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/Hubbard/square_64_P_25_8/FN-uniform/fn_hubbard.sh)",
      "source": "varbench@2024-10-22",
      "provenance": "imported",
      "baseline": true
    }
  ],
  "url": "https://qmbl.org/i/Hubbard/square_64_P_25_8/",
  "per_site_divisor": 64,
  "per_site_label": "E/site",
  "record": {
    "energy": -58.549,
    "sigma": 0.001031,
    "method": "mVMC with SU(2) and momentum projections (gamma point) + RBM + Lanczos, (U=8), alpha = 8 with 1x1 RBM subspace",
    "reference": "[code](https://github.com/varbench/methods/blob/main/scripts/Hubbard/square_64_P_25_8/mVMC/mVMC.sh)",
    "energy_per_site": -0.914828125
  },
  "no_record_reason": null
}
