🟢 Heisenberg1D/Energy/OBC
Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
src claim
- method
dense_ed, statusexact, reliabilityhigh - Delegates to XXZ1D(Δ=1.0); J passed via kwargs.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@su2 | delegation_invariant | 🟡 asserted | Heisenberg1D thermal OBC delegates to XXZ1D(Delta=1): same J must match | test/models/quantum/Heisenberg/test_Heisenberg1D_thermal.jl |
@su2 | ed_finite_size | 🟢 structural | Direct OBC ED via genericed chainhamiltonian + thermofromspectrum | test/models/quantum/Heisenberg/test_Heisenberg1D_thermal.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6) | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | literature_value | 🟢 structural | Heisenberg dimer (N=2): unique singlet GS, E0total = -3J/4 ⇒ E0per_site = -3J/8 | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | literature_value | 🟢 structural | Heisenberg dimer (N=2): unique singlet GS, E0total = -3J/4 ⇒ E0per_site = -3J/8 | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | literature_value | 🟢 structural | Heisenberg dimer (N=2): unique singlet GS, E0total = -3J/4 ⇒ E0per_site = -3J/8 | test/models/quantum/Heisenberg/test_heisenberg1d_obc_small_n_gs_ed_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | ed_finite_size | 🟢 structural | ED black-box: chainhamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermofrom_spectrum | test/models/quantum/Heisenberg/test_heisenberg1d_obc_thermo_ED_batch.jl |
@su2 | delegation_invariant | 🟡 asserted | Heisenberg1D thermal OBC delegates to XXZ1D(Delta=1): same J must match | test/models/quantum/XXZ/test_XXZ1D_thermal.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(Heisenberg1D(), Energy(), OBC(4); route = :delegation_invariant, fetch_kw = (; 1.0 = 1.0, J = 1.5), independent = QAtlas.fetch(XXZ1D(; J = 1.5, Δ = 1.0), Energy(), OBC(4); 1.0 = 1.0), agree_within = 1.0e-12, refs = ["Heisenberg1D thermal OBC delegates to XXZ1D(Delta=1): same J must match"])verify(Heisenberg1D(), Energy(), OBC(4); route = :ed_finite_size, fetch_kw = (; 1.0 = 1.0, 1.0 = 1.0), independent = E_ind, agree_within = 1.0e-9, refs = ["Direct OBC ED via generic_ed chain_hamiltonian + thermo_from_spectrum"])verify(Heisenberg1D(), Energy(:per_site), OBC(2); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(2, 0.5) / 2, at = ["N=$(2)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 0.5 = 0.5, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(3, 0.5) / 3, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 0.5 = 0.5, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(4, 0.5) / 4, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 0.5 = 0.5, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(2); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(2, 1.0) / 2, at = ["N=$(2)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 1.0 = 1.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(3, 1.0) / 3, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 1.0 = 1.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(4, 1.0) / 4, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 1.0 = 1.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(2); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(2, 2.0) / 2, at = ["N=$(2)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 2.0 = 2.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(3); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(3, 2.0) / 3, at = ["N=$(3)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 2.0 = 2.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_heisenberg1d_gs_total(4, 2.0) / 4, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), minimum eigenvalue (small-N gap exact at β=1e6)"], fetch_kw = (; 2.0 = 2.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(2); route = :literature_value, independent = (-3 * 0.5) / 8, agree_within = 1.0e-12, refs = ["Heisenberg dimer (N=2): unique singlet GS, E0_total = -3J/4 ⇒ E0_per_site = -3J/8"], fetch_kw = (; 0.5 = 0.5, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(2); route = :literature_value, independent = (-3 * 1.0) / 8, agree_within = 1.0e-12, refs = ["Heisenberg dimer (N=2): unique singlet GS, E0_total = -3J/4 ⇒ E0_per_site = -3J/8"], fetch_kw = (; 1.0 = 1.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(2); route = :literature_value, independent = (-3 * 2.0) / 8, agree_within = 1.0e-12, refs = ["Heisenberg dimer (N=2): unique singlet GS, E0_total = -3J/4 ⇒ E0_per_site = -3J/8"], fetch_kw = (; 2.0 = 2.0, beta = 1.0e6))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 0.5 = 0.5, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 1.0 = 1.0, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(4); route = :ed_finite_size, independent = ed_E, at = ["N=$(4)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(6); route = :ed_finite_size, independent = ed_E, at = ["N=$(6)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 10.0 = 10.0))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(0.5)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 0.5 = 0.5))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(2.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 2.0 = 2.0))verify(Heisenberg1D(), Energy(:per_site), OBC(8); route = :ed_finite_size, independent = ed_E, at = ["N=$(8)", "β=$(10.0)"], agree_within = 1.0e-9, refs = ["ED black-box: chain_hamiltonian(2,N, J·(Sx⊗Sx+Sy⊗Sy+Sz⊗Sz)), thermo_from_spectrum"], fetch_kw = (; 2.0 = 2.0, 10.0 = 10.0))verify(Heisenberg1D(), Energy(), OBC(4); route = :delegation_invariant, fetch_kw = (; 1.0 = 1.0, J = 1.5), independent = QAtlas.fetch(XXZ1D(; J = 1.5, Δ = 1.0), Energy(), OBC(4); 1.0 = 1.0), agree_within = 1.0e-12, refs = ["Heisenberg1D thermal OBC delegates to XXZ1D(Delta=1): same J must match"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 42 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.