Autosolitons in trapped Bose-Einstein condensates with two- and three-body inelastic processes

摘要

In this work, we consider the conditions for the existence of autosolitons,in trapped Bose-Einstein condensates with attractive atomic interactions.First, the variational approach is employed to estimate the stationarysolutions for the three-dimensional Gross-Pitaevskii equation with trappotential, linear atomic feeding from the thermal cloud and two- and three-bodyinelastic processes. Next, by using exact numerical calculations, we show thatthe variational approach gives reliable analytical results. We also discuss thepossible observation of autosolitons in experiments with Lithium-7.