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๐ŸŸข AKLT1D/GroundStateEnergyDensity/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, status exact, reliability high, refs: AKLT1988
  • Closed form eโ‚€ = -2J/3 from the bond-projector decomposition of H.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralAKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3test/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_form๐ŸŸข structuralAKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3test/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_form๐ŸŸข structuralAKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3test/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_form๐ŸŸข structuralAKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3test/models/quantum/misc/test_aklt_verify_closed_form.jl
@sweepsecond_closed_form๐ŸŸข structuralAffleck-Kennedy-Lieb-Tasaki 1988: e0 = -2J/3test/models/quantum/misc/test_aklt_verify_main.jl
@sweepsecond_closed_form๐ŸŸข structuralAffleck-Kennedy-Lieb-Tasaki 1988: e0 = -2J/3test/models/quantum/misc/test_aklt_verify_main.jl
@sweepsecond_closed_form๐ŸŸข structuralAffleck-Kennedy-Lieb-Tasaki 1988: e0 = -2J/3test/models/quantum/misc/test_aklt_verify_main.jl

Test calls

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

verify(AKLT1D(; 0.5 = 0.5), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 0.5) / 3, agree_within = 1.0e-14, refs = ["AKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3"])
verify(AKLT1D(; 1.0 = 1.0), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 1.0) / 3, agree_within = 1.0e-14, refs = ["AKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3"])
verify(AKLT1D(; 2.0 = 2.0), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 2.0) / 3, agree_within = 1.0e-14, refs = ["AKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3"])
verify(AKLT1D(; 3.7 = 3.7), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 3.7) / 3, agree_within = 1.0e-14, refs = ["AKLT 1988: VBS ground state is the exact null space of every bond Pโ‚‚ projector โ‡’ eโ‚€ = -2J/3"])
verify(AKLT1D(; 0.5 = 0.5), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 0.5) / 3, agree_within = 1.0e-14, refs = ["Affleck-Kennedy-Lieb-Tasaki 1988: e0 = -2J/3"])
verify(AKLT1D(; 1.0 = 1.0), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 1.0) / 3, agree_within = 1.0e-14, refs = ["Affleck-Kennedy-Lieb-Tasaki 1988: e0 = -2J/3"])
verify(AKLT1D(; 2.5 = 2.5), GroundStateEnergyDensity(), Infinite(); route = :second_closed_form, independent = (-2 * 2.5) / 3, agree_within = 1.0e-14, refs = ["Affleck-Kennedy-Lieb-Tasaki 1988: e0 = -2J/3"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 7 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: AKLT1D ยท Quantity: GroundStateEnergyDensity ยท Atlas index