phenomenon

spontaneous emission entanglement

Quantum entanglement generated through spontaneous emission processes, often from natural sources like sunlight.
14 related articles · 1 formulas

Description

Spontaneous emission is the random release of a photon when an excited atom or molecule drops to a lower energy state. While this process is inherently noisy and unpredictable, it can also generate quantum entanglement — the mysterious correlation where particles share a single quantum state. The idea that natural, chaotic sources like sunlight could produce entanglement challenges the older assumption that entanglement requires carefully controlled laboratory setups with lasers and specialized crystals.

How it works

When an atom spontaneously emits a photon, the emitted photon and the atom's final state become entangled: the photon's properties (like polarization) are correlated with the atom's internal state. In a cascade, where one atom emits two photons in sequence, those two photons can be entangled with each other. Even in a chaotic thermal source like the Sun, each emission event creates a local entanglement, and under the right conditions, this can be harvested or detected.

In practice

This research could enable quantum communication and cryptography using natural light sources instead of fragile, expensive laser systems, potentially allowing satellite-based quantum key distribution powered by sunlight.

Fun fact

The Sun, despite being a chaotic thermal source, can produce pairs of entangled photons through spontaneous emission cascades in its atmosphere.

Concept graph →

Formulas

$$N = \frac{4\pi S_\nu \Delta\nu Q(T_{\rm rot})}{A_{ul} \Omega h c g_u e^{-E_u/kT_{\rm rot}}}$$
Column density derived from rotational molecular line emission.
What is in the formula
Nvariablecolumn density — column density per square metre
S_νvariableline flux density — spectral flux density joule per square metre per second per he
Δνvariableline width — frequency interval hertz
Qvariablerotational partition function — partition function
T_rotvariablerotational temperature — temperature kelvin
A_ulvariableEinstein A coefficient — einstein a coefficient per second
Ωvariablesolid angle of source — solid angle steradian
hvariablePlanck constant — planck constant joule second
cvariablespeed of light — speed of light metre per second
g_uvariabledegeneracy of upper level — degeneracy
E_uvariableenergy of upper level — energy joule
kvariableBoltzmann constant — boltzmann constant joule per kelvin
n_t=\frac{4πs_νδνq(t_{\rmrot})}{a_{ul}ωhcg_ue^{-e_u/kt_{\rmrot}}} · 2606.02815v1

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