Stability in Bose-Einstein Condensates

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2014, Tutor: Ricardo MayolIn this work the validity of an analytic approximation expression [1] for the critical number of atoms that a Bose-Einstein Condensate can hold before collapsing when the interaction between them is attractive is checked. In order to do this the system is treated in a more precise way by numerically solving the Gross-Pitaevskii equation. One finds that the variational approach underestimates the number of atoms that can fit in a Bose-Einstein Condensate before it collapses