QMBLthe quantum many-body leaderboard

All instances / Impurity

Impurity TB-DMFT, size 19

Best values (rules §6)

best variational -224.3360713 DMRG
Wu et al. (2024) · the lowest unflagged variational energy, a strict variational bound

Energies as E (total). Classes are different claims and are not ranked against each other.

The Hamiltonian

An impurity model from VarBench (TB-DMFT). VarBench defines its Hamiltonian, so it is not restated here. It has no meaningful per-site energy.

lattice
TB-DMFT
sites
19
boundary
—
energies
3

Stored as a total energy; quoted here as E (total), which is what the papers report (how the conversion works).

Every published energy

Grouped by what the number is. The exact energy comes first where there is one; in every other group the lowest unflagged energy is its best value, and each row's distance is to that best (rules §6).

Strict variational upper bounds (3)

Energies that a variational state reached (VMC, DMRG and MPS at finite bond dimension, PEPS, NQS, VQE). Each is an upper bound on the ground-state energy.

E (total)distance to class bestσVar(E)V-score methodsourcecodeyearcomment
-224.3360713best variational 0 n/a 3.02e-8 8.5e-8 DMRG
VarBench reference run
Wu et al. (2024) run script 2024
-224.3360713 <1e-7 n/a 3.75e-8 1.1e-7 DMRG
VarBench reference run
Wu et al. (2024) run script 2024
-224.3360713 <1e-7 n/a 4.79e-8 1.4e-7 DMRG
VarBench reference run
Wu et al. (2024) run script 2024

Coverage

Newest published number here: 2024.

This instance as data

JSON · source file on GitHub · add a result · open an issue about this instance