Dynamics of Bose-Einstein condensates with atomic pumping and dissipative processes

In the dynamics of condensed systems described by a nonconservative non-linear Schrödinger equation, we investigate numerically the role of atomic feeding and inelastic collisions where dipolar relaxation is the dominant process. By analyzing the range of possible values of the nonconservative parameters to have stable (or unstable) solutions, we verify that spatio-temporal chaos patterns, known for attractive two-body systems due to collapsing effects, can also occur in the repulsive case when the term corresponding to the linear atomic feeding dominates the nonconservative contributions.