Concept 28 of 42 · Light–Matter Quantum Phenomena

Hong–Ou–Mandel interference

Two indistinguishable photons entering a balanced beamsplitter leave together.

01 / Mathematical framework
$$P_{\mathrm{coinc}}=\tfrac12(1-\vert\langle\psi_1\vert\psi_2\rangle\vert^2)$$

Physical intuition

Two indistinguishable photons entering a balanced beamsplitter leave together. This is the starting point for understanding how nanoscale optical geometry changes the states or dynamics accessible to light and matter.

Deep dive: how the mechanism works

Bosonic two-photon amplitudes for separate outputs cancel when all distinguishing information is erased.

How the quantum phenomenon appears

A delay scan reveals a coincidence dip between photons. To distinguish a genuinely quantum signal from a classical optical response, connect the device physics to a measurement such as photon correlations, interference visibility, energy-level structure or quantum-state tomography where appropriate.

Assumptions and limitations

Distinguishable photons and imperfect detectors reduce visibility.

Research and simulation exercise

Identify the tunable parameters, predict the observable from the stated model, and sweep one parameter while holding the others fixed. Compare against a simpler reference model, quantify loss and uncertainty, and state which observations would falsify the hypothesis.

Connect the ideas

See the chapter guide and further reading.

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