Self-Maintaining Defect/Energetic Droplets from Two Interacting Bose-Einstein Condensates

Abstract

We consider two interacting Bose Einstein condensates with di erent kinds of the potential energy of interaction of the condensates: (a) the standard potential, (b) the potential has a positive three-body and a negative two-body scattering terms, and (c) the potential has a positive four-body and a negative three-body scattering terms for the rst Bose Einstein condensate and a positive three-body and a negative two-body scattering terms for the second Bose Einstein condensate. It is shown that in these cases there exist stationary regular spherically symmetric solutions. Physically such solution is either a defect or an energetic droplet created by the condensates. The defect is a cavity lled with one Bose Einstein condensate on the background of another Bose Einstein condensate. The droplet is an object with zero energy density at the in nity. For (a) and (b) cases the obtained objects are supported by a constant external trapping potential and for (c) case the droplet is a self-maintaining object without any external potential. The possibility of construction of an elementary logic qubit device on the basis of this droplet is discussed.