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Cooling and detection schemes using laser cooling and methods of quantumlogic can contribute to high precision CPT symmetry tests in the baryonicsector. This work introduces an experiment to sympathetically cool protons andantiprotons using the Coulomb interaction with a $^9$Be$^+$ ion trapped in anearby but separate potential well. We have designed and set up an apparatus toshow such coupling between two identical ions for the first time in a Penningtrap. In this paper, we present evidence for successful loading and Dopplercooling of clouds and single ions. Our coupling scheme has applications in arange of high-precision measurements in Penning traps and has the potential tosubstantially improve motional control in these experiments.

Cryogenic $^9$Be$^+$ Penning trap for precision measurements with (anti-)protons