QAtlas.jl

QAtlas exposes a curated dictionary of rigorous results in quantum and statistical physics. Every stored value traces back to a specific publication and is cross-validated against independent numerical computations (dense / sparse exact diagonalisation, brute-force enumeration, Bloch diagonalisation, automatic differentiation, bipartite fluctuations, …).

Confidence tiers

• Highest confidence: results the maintainer derives and checks line-by-line (TFIM BdG + thermodynamics, Onsager $T_c$, Yang $M(T)$, Heisenberg dimer, bipartite-fluctuation Luttinger $K$, PBC Calabrese–Cardy central charge).
• Cross-checked: tight-binding Bloch formulas, 3D O(N) bootstrap values, $E_8$ mass ratios — verified numerically but not all re-derived by hand.

If you use QAtlas values in a publication, verify them against the cited original references.

Status

The source and the derivation notes are written with heavy LLM assistance and are being independently reviewed. Found an error — a formula, a proof step, a citation, a type signature? Please open an issue. Recent review cycles have already caught one flagship bug ($E_8$ mass ratios $m_7, m_8$ were 2× the literature value, fixed in PR #83).