Newtonian self-gravity in trapped quantum systems and experimental tests

Abstract

No experimental evidence exists, to date, whether or not the gravitational field must be quantised. Theoretical arguments in favour of quantisation are inconclusive. The most straightforward alternative to quantum gravity, a coupling between classical gravity and quantum matter according to the semi-classical Einstein equations, yields a nonlinear modification of the Schrödinger equation. Here, effects of this so-called Schrödinger-Newton equation are discussed, which allow for technologically feasible experimental tests.

arXiv commentBased on a talk at the "DICE2016 Spacetime - Matter - Quantum Mechanics" conference, to appear in the proceedings. 8 pages, 3 figures

References in corpus (17)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Testing the limits of quantum mechanical superpositions
• Gravitation and quantummechanical localization of macroobjects
• The Schrödinger-Newton equation and its foundations
• The Schrödinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields
• Stochastic Gravity: Theory and Applications
• Macroscopic Quantum Mechanics in a Classical Spacetime
• Macroscopic quantum resonators (MAQRO): 2015 Update
• Gravitationally induced inhibitions of dispersion according to the Schrödinger-Newton Equation
• Measurement Analysis and Quantum Gravity
• Problems with the Newton-Schrödinger Equations
• Optomechanical test of the Schrödinger-Newton equation
• Centre-of-mass motion in multi-particle Schroedinger-Newton dynamics
• Optomechanical tests of a Schrödinger-Newton equation for gravitational quantum mechanics
• Crucial tests of macrorealist and semi-classical gravity models with freely falling mesoscopic nanospheres
• Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems
• Approximations for the free evolution of self-gravitating quantum particles