An optical device using mirrors and beam splitters to split and recombine light paths, creating interference patterns.The Mach-Zehnder interferometer is an optical device that splits a beam of light into two separate paths, then recombines them to create an interference pattern. It is a fundamental tool in physics for measuring tiny changes in path length, refractive index, or any effect that alters the phase of light traveling along one arm relative to the other. The device is central to quantum optics experiments, where it demonstrates wave-particle duality and the behavior of single photons.
The interferometer was independently described by Ludwig Mach (grandson of Ernst Mach) and Ludwig Zehnder in the early 1890s, building on earlier work by Albert Michelson.
A beam splitter divides the incoming light into two beams that travel along different paths, reflect off mirrors, and then meet at a second beam splitter. The two beams recombine and interfere, with the output intensity depending on the phase difference accumulated along the two paths. If the phase difference is an integer multiple of the wavelength, constructive interference occurs; if it is a half-integer, destructive interference occurs. This sensitivity allows detection of extremely small changes in the optical path, such as those caused by a tiny displacement of a mirror or a change in the medium's refractive index.
It is used in quantum cryptography, optical coherence tomography, and as a sensor for gravitational waves, where it detects minute changes in the relative lengths of its arms caused by passing gravitational waves.
In quantum mechanics, a single photon entering a Mach-Zehnder interferometer can interfere with itself, and by adjusting the phase, the photon can be deterministically routed to one output port or the other.









