Influence of the chameleon field potential on transition frequencies of gravitationally bound quantum states of ultracold neutrons

2012/07/02 by A. N. Ivanov, R. Höllwieser, Roman Höllwieser +5
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #hep-th

paper · pdf · doi:10.1103/physrevd.87.105013

11 pages, 4 figures

arxiv created 2012/07/02 · openalex publication_date 2013/05/16 · arxiv updated 2013/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate the chameleon field potential for ultracold neutrons bouncing on top of one, or between two, neutron mirrors in the gravitational field of the Earth. For the resulting nonlinear equations of motion, we give approximate analytical solutions and compare them with exact numerical ones for which we propose the analytical fit. The obtained solutions may be used for the quantitative analysis of contributions of a chameleon field to the transition frequencies of quantum states of ultracold neutrons bound in the gravitational field of the Earth.

Citations

• Torsion balance experiments: A low-energy frontier of particle physics
• A quantum bouncing ball
• Ramsey’s method of separated oscillating fields and its application to gravitationally induced quantum phase shifts
• The quantum bouncer
• Classical Electrodynamics