Constraining the generalized uncertainty principle with the atomic weak-equivalence-principle test

摘要

Various models of quantum gravity imply the Planck-scale modifications ofHeisenberg's uncertainty principle into a so-called generalized uncertaintyprinciple (GUP). The GUP effects on high-energy physics, cosmology, andastrophysics have been extensively studied. Here, we focus on theweak-equivalence-principle (WEP) violation induced by the GUP. Results from theWEP test with the $^{85}$Rb-$^{87}$Rb dual-species atom interferometer are usedto set upper bounds on parameters in two GUP proposals. A $10^{45}$-level boundon the Kempf-Mangano-Mann proposal, and a $10^{27}$-level bound on Maggiore'sproposal, which are consistent with bounds from other experiments, areobtained. All these bounds have huge room for improvement in the future.