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๐ŸŸข TFIM/ThermalEntropy/OBC

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” 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 โ€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method bdg, status exact, reliability high

Corroboration

regimemechanismindependencerefsfile
@orderedsum_rule๐ŸŸก assertedGibbs identity s = ฮฒ(ฮต โˆ’ f) across Energy/FreeEnergy/Entropy pathstest/identities/test_property_invariants.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)test/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC at T โ†’ โˆž: s โ†’ log 2 per sitetest/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC at T โ†’ โˆž: s โ†’ log 2 per sitetest/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeplimiting_case๐ŸŸก assertedTFIM OBC at T โ†’ โˆž: s โ†’ log 2 per sitetest/models/quantum/TFIM/test_TFIM_thermal_entropy_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweeped_finite_size๐ŸŸข structural"ED black-box: -J ฯƒzโŠ—ฯƒz bonds + -h ฯƒx onsite, full spectrum, thermofrom_spectrum (S)"test/models/quantum/TFIM/test_TFIM_thermo_OBC_ED_batch.jl
@sweepsum_rule๐ŸŸก assertedGibbs identity s = ฮฒ(ฮต โˆ’ f) on OBC(N) โ€” Energy is total โ‡’ ฮต = E/N; FreeEnergy / ThermalEntropy are per-site by conventiontest/verification/universality/test_thermo_identity_quantum.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(TFIM(; J = 1.0, h = 0.5), ThermalEntropy(), OBC(6); route = :sum_rule, fetch_kw = (; beta = 1.3), independent = 1.3 * (QAtlas.fetch(TFIM(; J = 1.0, h = 0.5), Energy(:per_site), OBC(6); beta = 1.3) - QAtlas.fetch(TFIM(; J = 1.0, h = 0.5), FreeEnergy(), OBC(6); beta = 1.3)), agree_within = 1.0e-7, refs = ["Gibbs identity s = ฮฒ(ฮต โˆ’ f) across Energy/FreeEnergy/Entropy paths"])
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(; 8 = 8); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(; 12 = 12); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(; 16 = 16); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(; 8 = 8); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(; 12 = 12); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(; 16 = 16); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 0.5 = 0.5, 1.0 = 1.0), ThermalEntropy(), OBC(; 8 = 8); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 0.5 = 0.5, 1.0 = 1.0), ThermalEntropy(), OBC(; 12 = 12); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 0.5 = 0.5, 1.0 = 1.0), ThermalEntropy(), OBC(; 16 = 16); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM OBC disordered phase (h>J) unique GS at T โ†’ 0 โ‡’ s = 0 (gap = 2(h-J), no doublet residue)"], fetch_kw = (; beta = 1000.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(; 8 = 8); route = :limiting_case, independent = log(2), agree_within = 1.0e-5, refs = ["TFIM OBC at T โ†’ โˆž: s โ†’ log 2 per site"], fetch_kw = (; beta = 0.001))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(; 12 = 12); route = :limiting_case, independent = log(2), agree_within = 1.0e-5, refs = ["TFIM OBC at T โ†’ โˆž: s โ†’ log 2 per site"], fetch_kw = (; beta = 0.001))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(; 16 = 16); route = :limiting_case, independent = log(2), agree_within = 1.0e-5, refs = ["TFIM OBC at T โ†’ โˆž: s โ†’ log 2 per site"], fetch_kw = (; beta = 0.001))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 1.0 = 1.0), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(4); route = :ed_finite_size, independent = ed_S, at = ["N=$(4)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(6); route = :ed_finite_size, independent = ed_S, at = ["N=$(6)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 0.5 = 0.5))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 2.0 = 2.0))
verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), ThermalEntropy(), OBC(8); route = :ed_finite_size, independent = ed_S, at = ["N=$(8)"], agree_within = 1.0e-9, refs = ["ED black-box: -J ฯƒ_zโŠ—ฯƒ_z bonds + -h ฯƒ_x onsite, full spectrum, thermo_from_spectrum (S)"], fetch_kw = (; 5.0 = 5.0))
verify(TFIM(; J = J, h = h), ThermalEntropy(), OBC((4, 6, 8)); route = :sum_rule, fetch_kw = (; beta = (0.5, 1.0, 2.0)), independent = (0.5, 1.0, 2.0) * (QAtlas.fetch(TFIM(; J = J, h = h), Energy(), OBC((4, 6, 8)); beta = (0.5, 1.0, 2.0)) / (4, 6, 8) - QAtlas.fetch(TFIM(; J = J, h = h), FreeEnergy(), OBC((4, 6, 8)); beta = (0.5, 1.0, 2.0))), agree_within = 1.0e-10, at = ["J=$(J)", "h=$(h)", "N=$((4, 6, 8))", "ฮฒ=$((0.5, 1.0, 2.0))"], refs = ["Gibbs identity s = ฮฒ(ฮต โˆ’ f) on OBC(N) โ€” Energy is total โ‡’ ฮต = E/N; FreeEnergy / ThermalEntropy are per-site by convention"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 41 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: TFIM ยท Quantity: ThermalEntropy ยท Atlas index