The possibility of generating quantum entanglement between two non-relativistic Bose-Einstein condensates, placed in harmonic traps with the same frequency and separated by a certain distance, is investigated. In the model of linearized quantum gravity, gravitons act as mediators of entanglement. Entanglement arises between the phonon modes of the condensates. It is shown that at very small distances, the achievable degree of entanglement is significantly higher than in the quantum gravity-induced entanglement of masses (QGEM) protocol, but its decay with distance occurs more rapidly. As the number of particles in the condensate increases, the entanglement at small separation grows substantially compared to the known result for two particles. This opens the way to a more reliable experimental implementation of the quantum gravity-induced entanglement of phonons (QGEP) protocol.
Picture two choirs in soundproof rooms on a wobbly stage. They sing, but can't hear each other—the air doesn't carry the tune. Yet if the stage trembles, its vibrations link their songs. That's the idea behind a new test for quantum gravity. The 'choirs' are clouds of atoms chilled into a single quantum wave, a Bose-Einstein condensate colder than deep space. Their 'song' is internal sound waves. In a vacuum, these waves are silent. But the stage—spacetime itself—has a faint shudder from hypothetical particles called gravitons, akin to microscopic gravitational waves. When the clouds are extremely close, this shudder entangles their sound, creating a ghostly harmony.
The nearer the clouds, the stronger the link. Success would prove gravity is quantum, bringing it into the standard model and revealing spacetime's grainy nature.
🎯 If gravity is quantum, the very fabric of spacetime is stitched from tiny, indivisible chunks—just like energy and matter.