Interaction of Impurity Atoms in Bose-Einstein Condensates

Alexander Klein

Fachbereich Physik, AG Theoretische Quantenoptik, Technische Universität Kaiserslautern,
Erwin-Schrödinger-Str. 46, 67663 Kaiserslautern, Germany

The interaction of two spatially separated impurity atoms through phonon exchange in a Bose-Einstein condensate is studied within a Bogoliubov approach. The impurity atoms are held by deep and narrow trap potentials and experience level shifts which consist of a mean-field part and vacuum contributions from the Bogoliubov-phonons. In addition there is a conditional energy shift resulting from the exchange of phonons between the impurity atoms. Potential applications to quantum information are discussed.