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๐ŸŸข XXZ1D/LoschmidtEcho/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 free_fermion_analytic, status exact, reliability high, refs: CalabreseEsslerFagotti2012 | Heyl2013 | EsslerFagotti2016
  • XX โ†’ XX quench Loschmidt rate ฮป(t) at ฮ” = 0 only; same-sign J โ‡’ ฮป โ‰ก 0 (Fermi sea preserved), sign-flip โ‡’ 0 (|GS(Jโ‚€)โŸฉ is a number eigenstate of H_f; Anderson orthogonality does not apply to the Loschmidt amplitude). ฮ” โ‰  0 throws DomainError.

Corroboration

regimemechanismindependencerefsfile
@free_fermionlimiting_case๐ŸŸก assertedNo-quench identity: Hinitial = Hfinal => lambda(t) = 0 for all ttest/models/quantum/XXZ/test_xxz_xx_quench.jl
@free_fermionsecond_closed_form๐ŸŸข structuralFree-fermion Slater det:L(t)

Test calls

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

verify(XXZ1D(; J = 1.0, ฮ” = 0.0), LoschmidtEcho(; mode = :rate), Infinite(); route = :limiting_case, fetch_kw = (; initial = XXZ1D(; J = 1.0, ฮ” = 0.0), t = 2.5), independent = 0.0, agree_within = 1.0e-14, refs = ["No-quench identity: H_initial = H_final => lambda(t) = 0 for all t"])
verify(XXZ1D(; J = 1.0, ฮ” = 0.0), LoschmidtEcho(; mode = :rate), Infinite(); route = :second_closed_form, fetch_kw = (; initial = XXZ1D(; J = 0.5, ฮ” = 0.0), t = 1.0), independent = 0.0, agree_within = 1.0e-14, refs = ["Free-fermion Slater det: |L(t)| = 1 for same-sign J quench => lambda = 0"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 2 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: XXZ1D ยท Quantity: LoschmidtEcho ยท Atlas index