A team of physicists from RUDN, JINR (Dubna), and the University of Hamburg (Germany) developed a mathematical model for describing physical processes in hybrid systems that consists of atoms and ions cooled down to temperatures close to absolute zero. Such atom-ionic systems might serve as a basis for the elements of the quantum computer—a device operating on quantum phenomena and exceeding regular computers by calculation speed. Right now, this is just a hypothetical concept, but the new development could make it reality sooner. The results of the study were presented at the 22nd International Conference on Few-Body Systems in Physics that took place in Caen (France) in July 9-13.