We describe pair-correlation inherent in the structure of many-particle ground state of quantum gases, namely, Bose Einstein condensate and Cooper-paired Fermi superfluid of atomic gases. We make a comparative study on the pair-correlation properties of these two systems. We discuss how to probe this pair-correlation by stimulated light scattering. This intrinsic pair-correlation may serve as a...

We discuss the possibility that Bose-Einstein Condensate (BEC) antihydrogen could provide the necessary mechanism for a deep space propulsion system. In a Bose-Einstein condensate, matter (or antimatter) is in a coherent state analogous to photons in a laser beam, and individual atoms lose their independent identity. This allows many atoms to be stored in a small volume. In the context of recen...

We predict a new kind of instability in a Bose-Einstein condensate composed of dipolar particles. Namely, a comparatively weak dipole moment can produce a large, negative two-body scattering length that can collapse the Bose-Einstein condensate. To verify this effect, we validate mean-field solutions to this problem using exact, diffusion Monte Carlo methods. We show that the diffusion Monte Ca...

We consider a one dimensional Bose-Einstein condensate in a in nite square-well (box) potential. This is a nonlinear control system in which the state is the wave function of the Bose Einstein condensate and the control is the length of the box. We prove that local exact controllability around the ground state (associated with a xed length of the box) holds generically with respect to the chemi...

We discuss the possibility that dense antihydrogen could provide a path towards a mechanism for a deep space propulsion system. We concentrate at first, as an example, on Bose-Einstein Condensate (BEC) antihydrogen. In a Bose-Einstein Condensate, matter (or antimatter) is in a coherent state analogous to photons in a laser beam, and individual atoms lose their independent identity. This allows ...

We describe the properties of mixtures composed by potassium and rubidium atoms, simultaneously trapped in a magnetic potential. Potassium isotopes are cooled down to quantum degeneracy by means of sympathetic cooling with rubidium [1]. We can produce both a two-species Bose-Einstein condensate [2] mixing together Rb and K, and a degenerate system composed by a Fermi gas of K atoms and a Bose-E...

We report on the generation of a Bose-Einstein condensate in a gas of chromium atoms, which have an exceptionally large magnetic dipole moment and therefore underlie anisotropic long-range interactions. The preparation of the chromium condensate requires novel cooling strategies that are adapted to its special electronic and magnetic properties. The final step to reach quantum degeneracy is for...

A Bose-Einstein condensate (BEC) was only experimentally realised in 1995. Research into nonlinear phenomenon (such as vortices) that exist in a BEC is thus in its infancy and a full understanding of how vortices move and interact is still lacking. A Bose-Einstein condensate is described by the GrossPitaevskii (GP) equation, a semi-classical non-linear PDE, given in terms of a wavefunction. In ...

The formation of a Bose-Einstein condensate of a dilute atomic gas has been studied in situ with a nondestructive, time-resolved imaging technique. Sodium atoms were evaporatively cooled close to the onset of Bose-Einstein condensation and then suddenly quenched to below the transition temperature. The subsequent equilibration and condensate formation showed a slow onset distinctly different fr...

We have observed Bose-Einstein condensation of pairs of fermionic atoms in an ultracold 6Li gas at magnetic fields above a Feshbach resonance, where no stable 6Li2 molecules would exist in vacuum. We accurately determined the position of the resonance to be 822+/-3 G. Molecular Bose-Einstein condensates were detected after a fast magnetic field ramp, which transferred pairs of atoms at close di...