Exact solutions of a two-component BEC interacting with a lattice potential

¹ Department of Physics, Hunan Normal University - Changsha 410081, PRC
² Department of Physics, Jishou University - Jishou 416001, Hunan, PRC

Received: 14 February 2005
Accepted: 10 May 2005

Abstract

It is shown that by experimentally controlling a weak optical lattice potential to equilibrate the interatomic interactions, we can construct a set of exact solutions of the Gross-Pitaevskii equations (GPE) for a two-component Bose-Einstein condensate (BEC). The exact solutions describe some balance superfluid phases with different flow-density amplitudes that supply several different and useful sources of the atom lasers. In the definition of dynamical superfluid-insulator transition (DSIT), (see Smerzi A. et al. , Phys. Rev. Lett. 89 (2002) 170402), the DSITs from the balance superfluid phases to the balance insulator phases are studied. The DSITs can be detected experimentally by observing the deformation of the periodic structure and the losses of the interference pattern and stability.