The process by which an excited quantum system transitions to a lower energy state, emitting a photon randomly.Spontaneous emission is the fundamental quantum process by which an excited atom, molecule, or other quantum system drops to a lower energy state and emits a photon — a particle of light — without any external trigger. Unlike stimulated emission, which requires an incoming photon to provoke the transition, spontaneous emission happens randomly, governed only by the intrinsic properties of the system and the vacuum fluctuations of the electromagnetic field. This randomness is not a flaw but a feature: it underlies the natural glow of hot objects, the operation of lasers (in their initial phase), and the quantum noise that limits many precision measurements.
Albert Einstein introduced the concept in 1917 to explain the observed spectrum of blackbody radiation, postulating the A coefficient for spontaneous emission alongside the B coefficients for absorption and stimulated emission.
The mechanism is rooted in quantum electrodynamics. An excited state has a certain lifetime, after which it decays with a probability per unit time given by the Einstein A coefficient. The emitted photon's direction, polarization, and phase are entirely random. The process is intimately connected to the quantum vacuum: the excited system interacts with the zero-point fluctuations of the electromagnetic field, which 'stimulate' the emission even in the absence of real photons. This is why spontaneous emission can be modified by placing the atom in a cavity that alters the vacuum field structure.
Spontaneous emission is the basis for light-emitting diodes (LEDs), fluorescent lamps, and the initial light generation in lasers; it also sets the fundamental linewidth of laser light and is a key noise source in quantum optics experiments.
Spontaneous emission is not truly spontaneous in the sense of being uncaused — it is driven by the vacuum fluctuations of the electromagnetic field, which exist even at absolute zero temperature.







