Concept 33 of 42 · Quantum-Enhanced Measurement

Interferometric phase sensing

Two coherent paths turn a tiny path-length difference into an intensity imbalance.

01 / Mathematical framework
$$I_\pm=\tfrac{I_0}{2}[1\pm V\cos\phi]$$

Physical intuition

Two coherent paths turn a tiny path-length difference into an intensity imbalance.

Deep dive: physical mechanism

A Mach–Zehnder or Michelson interferometer converts differential phase to output-port populations or intensities.

What is measured experimentally?

Fringe shifts reveal displacement or refractive-index change.

Assumptions, noise and limitations

Vibration, thermal drift and finite visibility constrain precision.

Research and simulation exercise

Calculate shot-noise-limited phase sensitivity versus photon number.

Connect the ideas

Explore the chapter overview, learning path, and references.

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