12 research outputs found
Newtonian Self-Gravitation in the Neutral Meson System
We derive the effect of the Schr\"odinger--Newton equation, which can be
considered as a non-relativistic limit of classical gravity, for a composite
quantum system in the regime of high energies. Such meson-antimeson systems
exhibit very unique properties, e.g. distinct masses due to strong and
electroweak interactions. We find conceptually different physical scenarios due
to lacking of a clear physical guiding principle which mass is the relevant one
and due to the fact that it is not clear how the flavor wave-function relates
to the spatial wave-function. There seems to be no principal contradiction.
However, a nonlinear extension of the Schr\"odinger equation in this manner
strongly depends on the relation between the flavor wave-function and spatial
wave-function and its particular shape. In opposition to the Continuous
Spontaneous Localization collapse models we find a change in the oscillating
behavior and not in the damping of the flavor oscillation.Comment: 10 pages, no figure
Optomechanical test of the Schrödinger-Newton equation
The Schrodinger-Newton equation has been proposed as an experimentally testable alternative to quantum gravity, accessible at low energies. It contains self-gravitational terms, which slightly modify the quantum dynamics. Here we show that it distorts the spectrum of a harmonic system. Based on this effect, we propose an optomechanical experiment with a trapped microdisc to test the Schr\"odinger-Newton equation, and we show that it can be realized with existing technology