Dynamics of matter-wave condensates with time-dependent two- and three-body interactions trapped by a linear potential in the presence of atom gain or loss.
Bose-Einstein condensates with time varying two- and three-body interatomic interactions, confined in a linear potential and exchanging atoms with the thermal cloud are investigated. Using the extended tanh-function method with an auxiliary equation, i.e., the Lenard equation, many exact solutions describing the dynamics of matter-wave condensates are derived. An important issue is the time management of the cubic and the quintic nonlinearities by tuning the rate of exchange of atoms between the condensate and the thermal background. In addition, adjusting the strength of the linear potential, the rate of exchange of atoms, and many other free parameters allow one to control many features of the condensate such as its height, width, position, velocity, acceleration, and its direction, respectively. Full numerical solutions corroborate the analytical predictions.
Laboratory of Atom and Radiation, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.
D
D
Belobo Belobo
Laboratory of Atom and Radiation, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon.
G H
GH
Ben-Bolie
Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon and Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy.
T C
TC
Kofane