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We study trapped Bose-Einstein condensate interferometers in presence of interactions during the whole interferometer sequence with number squeezed input states. We find that a Mach-Zehnder (or Ramsey...
We study the effect of a many-body interaction on inter-band oscillations in a two-band Bose-Hubbard model with external Stark force. Weak and strong inter-band oscillations are observed, where the la...
We study Tkachenko modes of the square vortex lattice of a two-component Bose-Einstein condensate (BEC) in the mean-field quantum Hall regime, considering the coupling of these modes with density exci...
Properties of the ground-state, zero temperature ‘phase diagram’ of the Bose-Hubbard hamiltonian as understood by Fisher et al. [5] are studied using simple tools in the case of finite systems. The re...
The material presented here consists of lecture notes written for a five two-hour sections course given during the 2004 edition of the Brazilian School on Statistical Mechanics. The topics covered are...

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