Constraining the generalized uncertainty principle with cold atoms

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 ${}^{87}$Rb atom recoil experiment are used to set upper bounds on parameters in three different GUP proposals. A $10^{14}$-level bound on the Ali-Das-Vagenas proposal is found, which is the second best bound so far. A $10^{26}$-level bound on Maggiore's proposal is obtained, which turns out to be the best available bound on it.

References in corpus (8)

• Atom Interferometers
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• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• New determination of the fine structure constant and test of the quantum electrodynamics
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• Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
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