Abstract

In this article, the main properties of a model of supersolid in the frame of a GrossPitaevskii equation is reviewed. It was developed mainly by the author with Pomeau, Josserand and Sepúlveda. Emphasis is placed on the numerical details and tools that are absent in our previous publications and maybe useful for authors who are eventually interested in the model. The model exhibits superfluid properties like nonclassical moment of inertia at T = 0K, quantized vortices and persistent currents without the presence of defects, moreover, only a transient flow is allowed by defects, akin to plastic flow in ordinary solids. © 2009 World Scientific Publishing Company.