Testing Gravitational Self-interaction via Matter-Wave Interferometry
arXiv:2203.01787 · doi:10.1103/PhysRevA.106.012215
Abstract
The Schrodinger-Newton equation has frequently been studied as a nonlinear modification of the Schrodinger equation incorporating gravitational self-interaction. However, there is no evidence yet as to whether nature actually behaves this way. This work investigates a possible way to experimentally test gravitational self-interaction. The effect of self-gravity on interference of massive particles is studied by numerically solving the Schrodinger-Newton equation for a particle passing through a double-slit. The results show that the presence of gravitational self-interaction has an effect on the fringe width of the interference that can be tested in matter-wave interferometry experiments. Notably, this approach can distinguish between gravitational self-interaction and environment induced decoherence, as the latter does not affect the fringe width. This result will also provide a way to test if gravity requires to be quantized on the scale of ordinary quantum mechanics.
arXiv comment8 pages, 6 figures, throughly revised and expanded
References in corpus (22)
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- Towards quantum superpositions of a mirror
- Dynamical Reduction Models
- Testing the limits of quantum mechanical superpositions
- Gravitation and quantummechanical localization of macroobjects
- Matter-wave interferometer for large molecules
- Collisional decoherence observed in matter wave interferometry
- Is Quantum Gravity Necessary?
- The Schrödinger-Newton equation and its foundations
- A Kapitza-Dirac-Talbot-Lau interferometer for highly polarizable molecules
- The Schrödinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields
- Macroscopic Quantum Mechanics in a Classical Spacetime
- A universal matter-wave interferometer with optical ionization gratings in the time domain
- Collapse models with non-white noises
- Problems with the Newton-Schrödinger Equations
- Using an atom interferometer to infer gravitational entanglement generation
- Quantum gravitational decoherence of matter waves
- Schrödinger-Newton "collapse" of the wave function
- On the Significance of Interferometric Revivals for the Fundamental Description of Gravity
- Approximations for the free evolution of self-gravitating quantum particles
- Decoherence and Matter Wave Interferometry
- Seven non-standard models coupling quantum matter and gravity