Transition from a two-dimensional superfluid to a one-dimensional Mott insulator
arXiv:cond-mat/0701616 · doi:10.1103/PhysRevLett.99.110401
Abstract
A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically. If the system is finite in one direction, it is shown to exhibit a transition between a two-dimensional superfluid and a one-dimensional Mott insulating chain of superfluid tubes. Monte Carlo simulations are consistent with the expectation that the phase transition is of Kosterlitz-Thouless type. The effect of the transition on experimental time-of-flight images is discussed.
4 pages, 4 figures. Slightly revised according to referee requests