Testing spatial noncommutativity via magnetic hyperfine structure induced by fractional angular momentum of Rydberg system
Institute for Theoretical Physics, East China University of Science and Technology - Box 316, Shanghai 200237, PRC
2 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Science - Wuhan 430071, PRC
3 Department of Physics, University of Fribourg - Ch du Musee 3, 1700 Fribourg, Switzerland
Accepted: 25 April 2012
An approach to solve the critical problem of testing quantum effects of spatial noncommutativity is proposed. Magnetic hyperfine structures in a Rydberg system induced by fractional angular momentum originated from spatial noncommutativity are discussed. The orders of the corresponding magnetic hyperfine splitting of the spectrum ∼10−7–10− 8 eV lie within the limits of accuracy of current experimental measurements. Experimental tests of physics beyond the standard model are the focus of broad interest. We note that the present approach is reasonably achievable with current technology. The proof is based on very general arguments involving only the deformed Heisenberg-Weyl algebra and the fundamental property of angular momentum. Its experimental verification would constitute an advance in understanding of fundamental significance, and would be a key step towards a decisive test of spatial noncommutativity.
PACS: 03.65.-w – Quantum mechanics
© EPLA, 2012