How do I simulate a spin chain?

Open this page and use the live Stern-Gerlach tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a spin chain from your own measurements.

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Stern-Gerlach for a spin chain

Simulate a spin chain live in your browser. This runs the real Stern-Gerlach solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Stern-Gerlach ExperimentLive

spin measurement & projection

Controls

Presets

Analyzer angle θ (°)

Speed1×

Atoms prepared spin-up are measured along an axis tilted by θ. Quantum mechanics says each atom randomly comes out up or down, with probability cos²(θ/2) for up — never a fraction. At 90° it is a perfect coin flip; at 180° it always flips. The running tally converges to the Born-rule probability.

▶ Run in Python

Data Inspector

P(up) theory0.750

Measured up0.0%

Atoms1

Governing equation

P (↑) = cos^{2} \frac{θ}{2} = 0.750, P (↓) = sin^{2} \frac{θ}{2} = 0.250, θ = 6 0^{\circ}

Reading this result: Tilted by 60°, the analyzer still favors up: theory predicts P(up) = cos²(θ/2) ≈ 0.75, and the tally converges there.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Stern-Gerlach tool models a spin chain with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Stern-Gerlach

Stern-Gerlach for a hydrogen atom Stern-Gerlach for a quantum well Stern-Gerlach for a qubit Stern-Gerlach for the double-slit experiment Stern-Gerlach for a particle in a box Stern-Gerlach for a tunneling electron Stern-Gerlach for a spin measurement Stern-Gerlach for a laser cavity

Other ways to simulate a spin chain

Particle in a Box for a spin chain Quantum Tunneling for a spin chain Bloch Sphere for a spin chain Hydrogen Orbitals for a spin chain Special Relativity for a spin chain Photoelectric Effect for a spin chain

Frequently asked questions

How do I simulate a spin chain?: Open this page and use the live Stern-Gerlach tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a spin chain from your own measurements.