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QAtlas.jl

QAtlas (QUAntum Reference Table for Exact Tests) is a curated dictionary of rigorous results in quantum and statistical physics. Every stored value is traced to a specific publication and cross-validated against independent calculations.

Key Features

Unlike typical numerical libraries, QAtlas focuses on authoritative reference values — exact analytical results, high-precision conformal bootstrap bounds, and Bethe ansatz solutions. Each value is accompanied by:

  1. Precise citation: author, year, journal, equation number
  2. Derivation sketch: enough to independently verify
  3. Cross-validation: tested against independent computation
  4. Connections: linked to universality classes and other models

Quick Start

using QAtlas

# Onsager critical temperature
Tc = QAtlas.fetch(IsingSquare(), CriticalTemperature())

# TFIM ground-state energy
E₀ = QAtlas.fetch(:TFIM, :energy, OBC(); N=16, J=1.0, h=0.5)

# 2D Ising universality: exact exponents (Rational)
e = QAtlas.fetch(Universality(:Ising), CriticalExponents(); d=2)
# (β = 1//8, ν = 1//1, γ = 7//4, η = 1//4, ...)

Contents

  • Models — exact solutions for classical and quantum models
  • Universality Classes — critical exponents and scaling relations across dimensions
  • Verification — five-layer testing strategy ensuring physical correctness
  • Methods — computational techniques with physical justification
  • Derivation Notes — step-by-step calculations
  • API Reference — full Julia docstring index

Reporting Errors

Every page has a Report an issue button fixed at the top-right of the screen. Clicking it opens a pre-filled GitHub issue with the current page URL — no copy-paste needed.

Individual sections also show a small report link when you hover over an H2 or H3 heading. Use it to flag a specific derivation or formula that looks wrong.

All reports go to sotashimozono/QAtlas.jl Issues. Corrections and pull requests are equally welcome.