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All instances / Spinless t-V

Spinless t-V square 4x4, V = 0.1, n = 0.3125

tV/square_16_P_5_0.1

Record

-0.7376632(3) E/site

VMC Determinant Slater-Backflow-Jastrow (RBM) Ansatz with K=0 projections (symmetric wrt translations)

Romero et al. (2024) · lowest eligible strict variational bound (rules §6)

The Hamiltonian

H = −t ∑⟨ij⟩ (cicj + h.c.) + V ∑⟨ij⟩ ninj

Spinless fermions, t = 1, V = 0.1, 5 particles on 16 sites.

lattice
square
sites
16
boundary
periodic
Nf
5
V
0.1
energies
5

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).

Every published energy

Grouped by what the number is. Ranking happens only inside the first group.

Strict variational upper bounds (4)

The record is the lowest eligible energy in this group, and only this group.

E/siteσVar(E)V-score methodsourceyear
-0.7376632(3)record 2.7e-7 6.81e-6 2.3e-7 VMC Determinant Slater-Backflow-Jastrow (RBM) Ansatz with K=0 projections (symmetric wrt translations) Romero et al. (2024) 2024
-0.7376632 n/a 3.58e-11 1.2e-12 DMRG (maxbonddim = 72)
VarBench reference run
run script, no paper cited n/a
-0.7376629(3) 2.8e-7 8.38e-6 2.9e-7 VMC Determinant Slater-Jastrow (RBM) Ansatz with K=0 projections (symmetric wrt translations) Romero et al. (2024) 2024
-0.737662(2) 1.8e-6 3.95e-4 1.4e-5 VMC Determinant Slater-Jastrow (RBM) Ansatz Romero et al. (2024) 2024

Numerically exact (1)

Exact diagonalization, an exact solution, or sign-problem-free QMC where that is established: the answer, not a claim about it.

E/siteσVar(E)V-score methodsourceyear
-0.7376632 n/a n/a n/a Exact diagonalization
VarBench reference run
run script, no paper cited n/a

Coverage

Newest published number here: 2024. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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