๏‚›GitHub๏„

๐ŸŸข XYh1D/MassGap/Infinite

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 analytic, reliability high, refs: Lieb-Schultz-Mattis 1961 | Pfeuty 1970
  • Phase 1: isotropic XX limit (Jx = Jy) only; MassGap = 2ยทmax(0, |h| โˆ’ 2J). Anisotropic Jx โ‰  Jy deferred to Phase 2.

Corroboration

regimemechanismindependencerefsfile
@polarizedsecond_closed_form๐ŸŸข structuralPolarizedh
@sweepsecond_closed_form๐ŸŸข structuralXX limit h=0: gaplesstest/models/quantum/misc/test_xyh1d.jl
@sweepsecond_closed_form๐ŸŸข structuralLieb-Schultz-Mattis 1961: XY chain in gapless Luttinger-liquid rangeh

Test calls

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

verify(XYh1D(; h = 3.0), MassGap(), Infinite(); route = :second_closed_form, independent = 2.0, agree_within = 1.0e-9, refs = ["Polarized |h|>2J: gap = 2(|h| - 2J)"])
verify(XYh1D(), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-10, refs = ["XX limit h=0: gapless"])
verify(XYh1D(; h = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Lieb-Schultz-Mattis 1961: XY chain in gapless Luttinger-liquid range |h| < 2J (here J=1, so |h|<2) โ‡’ ฮ” = 0"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 3 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: XYh1D ยท Quantity: MassGap ยท Atlas index