Novel tabletop experiment demonstrating the nonlinear resonance excitation observed at the CERN Proton Synchrotron

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A compact Paul ion trap is employed to replicate the dynamic behavior of a relativistic charged-particle beam traveling in a large-scale accelerator. The nonlinear resonance bands recently identified at the CERN Proton Synchrotron (PS) are successfully reproduced in the tabletop system. The present experimental data suggests that all these resonances could be excited even without unknown error fields that break the high lattice symmetry of the PS. A new type of stability tune diagram appears to explain the basic feature of the experimental observation.