How do I simulate an atom trap?

Open this page and use the live Quantum Harmonic Oscillator 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 an atom trap from your own measurements.

Use case · powered by Quantum Harmonic Oscillator

Quantum Harmonic Oscillator for an atom trap

Simulate an atom trap live in your browser. This runs the real Quantum Harmonic Oscillator 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

Quantum Harmonic OscillatorLive

evenly-spaced energy ladder

Controls

Presets

Quantum number n

Show probability density

The quantum harmonic oscillator — a particle in a parabolic well — has energy levels evenly spaced by ħω, starting at a nonzero zero-point energy of ½ħω. Its wavefunctions are Hermite polynomials times a Gaussian. It models molecular vibrations, phonons, and quantum fields, making it the most important solvable system in physics.

▶ Run in Python

Data Inspector

Energy3.5 ħω

Level n3

Zero-point½ ħω

Governing equation

E_{3} = (3 + \frac{1}{2}) ℏ ω = 3.5 ℏ ω, ψ_{3} (x) \propto H_{3} (x) e^{- x^{2} /2}

Reading this result: State n=3 sits at 3.5 ħω with 3 nodes; levels stay evenly spaced by exactly ħω all the way up the ladder.

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

or unlock everything with Pro →

About this simulation

The full Quantum Harmonic Oscillator tool models an atom trap 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 Quantum Harmonic Oscillator

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

Other ways to simulate an atom trap

Particle in a Box for an atom trap Quantum Tunneling for an atom trap Bloch Sphere for an atom trap Hydrogen Orbitals for an atom trap Special Relativity for an atom trap Photoelectric Effect for an atom trap

Frequently asked questions

How do I simulate an atom trap?: Open this page and use the live Quantum Harmonic Oscillator 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 an atom trap from your own measurements.