Testing quantum gravity with non-Gaussianity and a Bose-Einstein condensate

Rapid progress in experimental quantum information science has made a table-top test of quantum gravity a tantalising possibility. A promising proposal is to search for entanglement generation between two massive micro-solids.

This would provide evidence of a quantum theory of gravity when all other interactions can be neglected and when gravity presents a local interaction. As well as creating great excitement that a test of quantum gravity could soon be possible, these proposals have also raised a number of questions, such as whether entanglement generation would really provide a test of quantum gravity and how close the experiments actually are to being realised. Here, we consider whether an alternative signature of quantum gravity to entanglement could be used for a table-top test, and an alternative experimental setting. Specifically, we consider non-Gaussianity rather than entanglement and how this could be searched for in a Bose-Einstein condensate (BEC) to evidence quantum gravity. We discuss whether using non-Gaussianity and a BEC could provide any advantages (and disadvantages) to entanglement experiments.