Mean-field limit of Bose systems: rigorous results

mean field wave function can describe the transition between dilute excitons and a dense

In the classical dif- fusion case, the stochastic process converges in the small-noise limit to the deter- ministic solution of the dynamical system and the large deviation

Motivated by Definition 2.5 and analogously to the critical density of particles for perfect Bose gas confined in boxes, we introduce the critical open-trap rescaled average number

We report on measurements of the critical temperature of a harmonically trapped, weakly inter- acting Bose gas as a function of atom number.. Our results exclude ideal-gas behavior

This allows us to separate spatially the condensed and normal components in time of flight, and to measure reliably temperatures as low as 0.2 T c 0 and thermal fractions as low

4: (Color online) Normalized cloud radius R TF /R ∗ (filled purple circles) and normalized atom number (open black squares) as a function of the inverse scattering length a ho /a at

Assuming weak disorder and rare particle collisions, we have derived coupled kinetic equations for the two main physical processes at work in this regime, particle diffusion

We have measured the critical atom number in an array of harmonically trapped two-dimensional (2D) Bose gases of rubidium atoms at different temperatures.. We found this number to