English

Constraining the generalized uncertainty principle with cold atoms

General Relativity and Quantum Cosmology 2017-04-28 v1 Atomic Physics

Abstract

Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous studies of the GUP focused on its implications for high-energy physics, cosmology, and astrophysics. Here, the application of the GUP to low-energy quantum systems, and particularly cold atoms, is studied. Results from the 87^{87}Rb atom recoil experiment are used to set upper bounds on parameters in three different GUP proposals. A 101410^{14}-level bound on the Ali-Das-Vagenas proposal is found, which is the second best bound so far. A 102610^{26}-level bound on Maggiore's proposal is obtained, which turns out to be the best available bound on it.

Keywords

Cite

@article{arxiv.1607.04353,
  title  = {Constraining the generalized uncertainty principle with cold atoms},
  author = {Dongfeng Gao and Mingsheng Zhan},
  journal= {arXiv preprint arXiv:1607.04353},
  year   = {2017}
}
R2 v1 2026-06-22T14:55:23.448Z