A system of cold bosonic atoms loaded in an optical lattice potential can undergo a macroscopic phase transition due to quantum fluctuations. As the depth of the lattice potential is increased, the ground state of the ...

We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap mimics the properties of ...

We study numerically the wave function evolution of a Bose-Einstein condensate in a Bunimovich stadium billiard being governed by the Gross-Pitaevskii equation. We show that for a moderate nonlinearity, above a certain ...

In this article, we review how a condensate builds-up infinite time, by a self-similar blow-up of the solution of three different models of kinetic equations. After the blow-up time, the growth of the coherent phase is ...

In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach ...

In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach ...

In this work we consider an of - resonant interaction between optical fields and a Bose - Einstein condensation. We used a continuous photo detection model to study the efects of the counting of k photons of the optical ...

We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator ...