Detecting a logarithmic nonlinearity in the Schrödinger equation using Bose-Einstein condensates
Detecting a logarithmic nonlinearity in the Schrödinger equation using Bose-Einstein condensates
We study the effect of a logarithmic nonlinearity in the Schr\"odinger equation (SE) on the dynamics of a freely expanding Bose-Einstein condensate (BEC). The logarithmic nonlinearity was one of the first proposed nonlinear extensions to the SE which emphasized the conservation of important physical properties of the linear theory, e.g.: …