Quantum entanglement generated through spontaneous emission processes, often from natural sources like sunlight.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.
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.
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.
The Sun, despite being a chaotic thermal source, can produce pairs of entangled photons through spontaneous emission cascades in its atmosphere.
| N | variable | column density — column density per square metre |
| S_ν | variable | line flux density — spectral flux density joule per square metre per second per he |
| Δν | variable | line width — frequency interval hertz |
| Q | variable | rotational partition function — partition function |
| T_rot | variable | rotational temperature — temperature kelvin |
| A_ul | variable | Einstein A coefficient — einstein a coefficient per second |
| Ω | variable | solid angle of source — solid angle steradian |
| h | variable | Planck constant — planck constant joule second |
| c | variable | speed of light — speed of light metre per second |
| g_u | variable | degeneracy of upper level — degeneracy |
| E_u | variable | energy of upper level — energy joule |
| k | variable | Boltzmann constant — boltzmann constant joule per kelvin |





