Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates

In the presence of the optical lattice we observe that the widths of the resonances corresponding to the excitations in bands II and III lie within the experimental range of

We show in particular that in this strongly degenerate limit the shape of the spatial correlation function is insensitive to the transverse regime of confinement, pointing out to

Hishida [17] revealed the asymptotic be- havior of the stationary Stokes flow around a rotating obstacle, and showed that the rotation of the obstacle leads to the resolution of

In the more realistic case of a trapped gaseous BEC, we show that these modes can be understood as Goldstone modes aris- ing from U(1) and O(2) broken symmetries,

Finally we review results obtained with a quadratic + quartic potential, which allows to study a regime where the rotation frequency is equal to or larger than the harmonic

For a gas confined in a harmonic potential, the fast rotation domain corresponds to stirring frequencies Ω of the order of the trapping frequency ω ⊥ in the plane perpendicular to

For an isolated system with energy fluctuations in the initial state, we have seen that the correlation function C(t) of the condensate phase derivative does not vanish at long

On the other hand 2D trapping with dipole forces has been performed in standing waves [18] or with atoms stopped by an evanescent wave and transferred to the nodes or anti-nodes of