X iv : c on d - m at / 9 51 20 08 v 3 5 D ec 1 99 5 Bose Condensate made of Atoms with Attractive Interaction is Metastable

ar X iv : m at h / 99 07 08 5 v 2 [ m at h . G R ] 1 7 D ec 1 99 9 LOOPS AND SEMIDIRECT PRODUCTS

ar X iv : c on d - m at / 9 80 53 27 v 1 2 5 M ay 1 99 8 Measurements of Relative Phase in Binary Mixtures of Bose - Einstein Condensates

We have measured the relative phase of two Bose-Einstein condensates (BEC) using a time-domain separated-oscillatory-field condensate interferometer. A single two-photon coupling pulse prepares the double condensate system with a well-defined relative phase; at a later time, a second pulse reads out the phase difference accumulated between the two condensates. We find that the accumulated phase...

ar X iv : c on d - m at / 0 20 62 32 v 3 1 1 M ay 2 00 3 Efimov States in a Bose -

Recent experiments with Bose-Einstein condensates of Rb atoms near a Feshbach resonance have produced evidence for a condensate of diatomic molecules coexisting with the atom condensate. It should also be possible to create condensates of the triatomic molecules predicted by Efimov coexisting with the atom and dimer condensates. The smoking gun for the trimer condensate would be oscillatory dep...

ar X iv : c on d - m at / 9 51 21 60 v 1 2 2 D ec 1 99 5 Spin - reflection positivity of the Kondo lattice at half - filling

We examine the spin-reflection positivity of the ground state of the Kondo lattice model at half-filling with the antiferromagnetic and ferromagnetic exchange couplings J = 0. For every positive U > 0, where U is the Coulomb interaction between the conduction electrons, we can show that the ground state is unique.

ar X iv : c on d - m at / 0 40 73 63 v 3 2 9 Ju n 20 05 Einstein - Podolsky - Rosen correlations via dissociation of a molecular Bose - Einstein condensate

Recent experimental measurements of atomic intensity correlations through atom shot noise suggest that atomic quadrature phase correlations may soon be measured with a similar precision. We propose a test of local realism with mesoscopic numbers of massive particles based on such measurements. Using dissociation of a Bose-Einstein condensate of diatomic molecules into bosonic atoms, we demonstr...