Interactive Demo: The Bloch Sphere

The Bloch sphere is the geometric representation of a two-level quantum system — every point on the sphere corresponds to a pure state, every point inside to a mixed state. Watching a spin precess on the Bloch sphere builds intuition that no equation can replace. What the Demo Will Show An interactive 3D Bloch sphere in the browser where the user can: Apply a static field and watch Larmor precession Turn on optical pumping and see the state spiral toward the poles Add relaxation (T₁, T₂) and observe the magnetisation decay Sweep the RF field and find the resonance condition Compare the quantum spin dynamics with the Bloch vector approximation Applications Context The same physics drives optically pumped magnetometers (OPMs) used for: ...

February 25, 2026 · 1 min · A Human-Machine Collaboration