Researchers Develop Mathematical Model of Trapped Atoms and Ions

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Researchers at Peoples’ Friendship University of Russia (RUDN University) developed a mathematical model for describing physical processes in hybrid systems of atoms and ions

A research led by RUDN University in collaboration with Joint Institute for Nuclear Research (JINR) and the University of Hamburg, Germany, developed a mathematical model for describing physical processes in hybrid systems. The hybrid systems consist of atoms and ions that are cooled down to temperatures close to absolute zero. These systems could form the basis for the elements of the quantum computers. The hypothetical concept was presented at the 22nd International Conference on Few-Body Systems in Physics that took place in Caen (France) in July 9-13, 2018.

The thermal motion of individual atoms rises complexities in the study of processes at the level of individual atoms and ions at room temperature. The thermal motion causes disturbances that leads to considerable inaccuracy of measurements. Moreover, Doppler effect in the systems is the main cause of observation errors. However, according to the researchers, the effect can be eliminated when the atoms are cooled down thereby reducing the speed of their thermal motion. Although, atoms can be cooled using a laser, it is necessary to select the proper frequency and direction.

Moreover, the laser can create a standing light wave that acts as a trap for cooled atoms and keep the atoms fixed in a confined region of space. The trap can be further used as a model system for studying quantum processes including solid state physics and high energy physics. However, there are several complexities in describing detailed mathematical description of systems of trapped quantum particles. The researchers developed a mathematical method that reduces multi-dimensional calculations to a system of one-dimensional equations. The method simplifies and speeds up the calculations and describes atomic systems with different parameters such as intensity of effective interparticle interaction, initial state population, and particle energy. Moreover, the method proved applicable to hybrid atom-ionic systems as the method provides for the calculation of collisions of atoms and ions to each other and the laser trap.

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