General relativity predicts gravity waves. If subatomic particles deliver the full menu of gravitational effects, they should should agree with the equivalence principle, an important corollary of gravity. In Einstein's own words:
"...the law of the equality of the inertial and gravitational mass is equivalent to the assertion that the acceleration imparted to a body by a gravitational field is independent of the nature of the body. For Newton's equation of motion in a gravitational field, written out in full, it is:
"(Inertial mass)⋄(Acceleration) = (Intensity of the gravitational field)⋄(Gravitational mass).
"It is only when there is numerical equality between the inertial and gravitational mass that the acceleration is independent of the nature of the body." (from the Wikipedia article on Equivalence principle https://en.wikipedia.org/wiki/Equivalence_principle)
Experiments have been performed which seem to confirm that gravitational fields affect sub-atomic particles. But a theory of quantum gravity will not agree with general relativity unless the equivalence principle also holds true at the quantum level.
A paper written by Mario Rabinowitz, retired researcher at SLAC, calls into question the equivalence principle at the quantum level. The paper argues that "quantum mechanics...directly violates the strong equivalence principle unless it is arbitrarily abetted in hindsight. Vital domains are shown to exist in which quantum gravity would be non-applicable." The paper concludes that: "The inevitable ramification of the strong equivalence principle is that gravity is exclusively due to the geometry of space-time curvature, but this appears not to be the case at the quantum level." (http://arxiv.org/pdf/physics/0608193.pdf)
The Rabinowitz paper refers to neutron interference experiments, both free-falling and in a gravitational field, which it says do not support the equivalence principle. See section 6 of the paper.
Although the equivalence principle may not hold at the quantum level, gravitation does affect subatomic particles. One experiment that used ultra cold neutrons found that the phase of the neutron wave function is affected by gravity (Greenberger, D. M.; Overhauser, A. W. The role of gravity in quantum theory; Scientific American, vol. 242, May 1980, p. 66-76). Another experiment bounced ultra cold neutrons off a hard surface and found they were "sensitive to gravity-like forces" (http://www.sciencedirect.com/science/article/pii/S0375947409003972). Unfortunately this paper is behind a pay wall.
Here is a link to a paper that analyzes the second experiment and finds evidence of a quantum effect caused by gravity: http://www.users.csbsju.edu/~frioux/neutron/neutron.htm. The paper includes a description with diagrams of the experiment. Although the equivalence principle is not mentioned, the author cites the experiment as "direct evidence for quantized gravitational states."
Subatomic particles are affected by gravity, but do they themselves gravitate, and are they capable of creating gravity waves? So far as I know, at the present time there is no conclusive evidence of this.