Quantum Metric & Fubini-Study Tensor

The quantum geometric tensor Q_μν = g_μν + iΩ_μν/2 encodes both the Fubini-Study metric (real part) measuring quantum distance between Bloch states and the Berry curvature (imaginary part) governing topological response.

PARAMETERS

Band gap Δ 1.00

k-path angle φ 0°

Berry curvature strength 1.00

g_xx = —
g_yy = —
Ω_xy = —
Z = |⟨ψ₁|ψ₂⟩|² = —
Chern # ≈ —

Bloch sphere

k-path

Berry phase

Metric g