process

spontaneous parametric down conversion

A nonlinear optical process where a single photon splits into two entangled photons of lower energy.
22 related articles

Description

Spontaneous parametric down-conversion (SPDC) is a nonlinear optical process in which a single high-energy photon, called the pump, spontaneously splits into two lower-energy photons, conventionally labeled signal and idler. This process occurs inside a nonlinear crystal, where the electric field of the pump light is strong enough to alter the material's refractive index in a way that couples the three photons. The two emitted photons are perfectly correlated in energy and momentum, and they are entangled in various degrees of freedom, such as polarization or time of emission. SPDC is the most widely used source of entangled photon pairs in quantum optics experiments.

History

SPDC was first observed in 1970 by David Burnham and Donald Weinberg at the National Bureau of Standards in the US, using a nonlinear crystal and a laser. The theoretical framework was laid earlier by Louisell, Yariv, and Siegman in 1961. The process gained prominence in the 1980s when Alain Aspect used it to test Bell inequalities, and it has since become a cornerstone of quantum information science.

How it works

In a nonlinear crystal, the polarization response to an intense electric field is not perfectly linear; it contains a quadratic term that can mix frequencies. When a pump photon at frequency ω_p enters the crystal, there is a small probability that it is annihilated and two photons at frequencies ω_s and ω_i are created, such that ω_p = ω_s + ω_i (energy conservation) and k_p = k_s + k_i (momentum conservation, called phase matching). The process is 'spontaneous' because it is triggered by vacuum fluctuations — no external stimulus is needed. The crystal is typically cut at a specific angle to achieve phase matching, and the emitted photons emerge in cones of directions determined by the phase-matching condition.

In practice

SPDC is the standard source of entangled photon pairs for quantum key distribution, quantum teleportation, and tests of fundamental quantum mechanics. It is also used in quantum imaging and in generating heralded single photons for photonic quantum computing.

Fun fact

SPDC can even occur with sunlight as the pump source, as demonstrated in 2014 by researchers in Italy, who produced entangled photon pairs using solar radiation focused into a nonlinear crystal.

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