2015/10/06 by André Großardt, James Bateman, Hendrik Ulbricht +1 · 61 citations
Engineering · Physics and Astronomy · #Advanced MEMS and NEMS Technologies #Classical mechanics #Gravitation #Harmonic #Mathematical physics #Mechanical and Optical Resonators #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Schrödinger equation #Schrödinger's cat #Spectrum (functional analysis) #gr-qc #quant-ph
paper · pdf · doi:10.1103/physrevd.93.096003
published in Physical review. D/Physical review. D. 93(9) (American Physical Society) · 13 pages, 4 figures, 1 table, 1 page of supplemental material
arxiv created 2015/10/06 · openalex publication_date 2016/05/04 · arxiv updated 2016/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Schr"odinger-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.