30aYN-12 Collision Dynamics of Two Bose-Einstein Condensates in Presence of Raman Coupling

T. Hong, T. Shimizu

Rina Kanamoto, Ewan M. Wright, Pierre Meystre

Ivette Fuentes, Jiannis K. Pachos, Sougato Bose +2 more

We propose a possible scheme for generating spin-J geometric phases using a coupled two-mode Bose-Einstein condensate (BEC). First we show how to observe the standard Berry phase using Raman coupling between two hyperfine states of the BEC. We find that the presence of intrinsic interatomic collisions creates degeneracy in energy that allows implementation of the non-Abelian geometric phases as well. The evolutions produced can be used to produce interference between different atomic species with high numbers of atoms or to fine control the difference in atoms between the two species. Finally, we show that errors in the standard Berry phase due to elastic collisions may be corrected by controlling inelastic collisions between atoms.

Masahiro O. Takahashi

J. Rogel-Salazar, G.H.C. New, Keith R. Burnett

We show that it is possible to determine the existence of correlated pairs produced in a down-conversion process within an atomic Bose–Einstein condensate in a systematic manner. This is achieved by measuring the competition between a one-particle transition, induced by an external field, and a two-particle transition arising naturally due to atomic collisions.

Yajun Wang, Xuejun Zhao, Lin-Xue Wang +1 more