Nonlinear schrödinger equation with dissipation: Two models for bose-einstein condensates

Abstract

Dissipation is a universal phenomenon which must be taken into account each time when one attempts to bring a theoretical description of a physical problem closer to the experimental situation. Dissipation can play either a principal role, i.e. determining the phenomenon itself (so that the latter disappears when dissipation is switched off), or a secondary role, i.e. affecting physical processes only by causing relatively small energy losses (so that the phenomenon persists in the absence of the dissipation). In the first case, it is customary to say that one deals with a dissipative system, while in the second case, one speaks of a dissipative perturbation of an originally conservative system.