Quantum control for Bose-Einstein-condensates with demonstration
Viacheslav Belavkin, Quan-Fang Wang
In this paper, Bose-Einstein-condensates (BEC) is regarded as the target control system, which described by nonlinear Gross-Pitaevskii equation with electromagnetic field. Standing on the viewpoint of mathematics and physics, a complete synthesis for controlling of particles in BEC status will be considered using fundamental analysis based upon variational framework in Hilbert space theoretically, although it’s not quite clear to execute with present quantum optical equipments, such as laser cooling, optical lattices. Particularly, the numerical experimental results are simulated to provide the interpretation of controlling process by properly physical parameter selecting.
CYBERNETICS AND PHYSICS, VOL. 1, No. 2, 2012, 144-153.