What quantum effects that involve gravity can be studied without QFT?

[andresB]

So there is no a full quantum theory of gravitation. However, there are instances where quantum effects due to gravitation have been studied. Like Gravitational neutron interferometry https://arxiv.org/pdf/1701.00259.pdf or maybe gravitational decoherence https://www.nature.com/articles/nphys3366

I would like to know if there are others quantum effects that involve gravity that can (at least in an approximate way) be studied without a full quantization of gravity.

 

[Demystifier]

Hawking radiation, for instance. It requires QFT, but not quantum gravity.

 

[PeterDonis]

Hawking radiation

I'm not sure this is a good example, since it hasn't been observed, so we don't actually know if our current predictions about it are correct.

 

[andresB]

There are experiments on bouncing neutron and the quantization of the free fall https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.151105

 

[vanhees71]

Some more references on neutrons bouncing in the gravitational field of the Earth:

https://www.nature.com/articles/415297a
https://arxiv.org/abs/hep-ph/0502081
https://arxiv.org/abs/hep-ph/0306198
https://www.physi.uni-heidelberg.de/Publications/dipl_krantz.pdf

 

[andresB]

There are proposals for observing the quantum nature of the gravitational field

https://arxiv.org/abs/1906.04513https://arxiv.org/abs/1810.10202https://arxiv.org/abs/1807.07015=====================================

On the other hand, I liked this paper on the equivalence principle in QM

https://aapt.scitation.org/doi/full/10.1119/1.4962981
I wonder if there are papers that work the case of general curved space time.