We study the phase coherence and visibility of trapped atomic condensates on one-dimensional optical lattices, by means of quantum Monteâ Carlo simulations. We obtain structures in the visibility similar to the kinks recently observed experimentally by Gerbier etâ al. [Phys. Rev. Lett. 95, 050404 (2005); PRLTAO0031-900710.1103/PhysRevLett.95.050404cond-mat/ 0507087PLRAAN1050-2947]. We examine these features in detail and offer a connection to the evolution of the density profiles as the depth of the lattice is increased. Our simulations reveal that, as the interaction strength U is increased, the evolution of superfluid and Mott-insulating domains stall for finite intervals of U. The density profiles do not change with increasing U. We show here that in one dimension the visibility provides unequivocal signatures of the melting of Mott domains with densities larger than 1.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)