Metal-insulator-superconductor transition of spin-3/2 atoms on optical lattices

Superfluid toMott-insulator transition of cold atoms in optical lattices

We review the superfluid to Mott-insulator transition of cold atoms in optical lattices. The experimental signatures of the transition are discussed and the RPA theory of the Bose-Hubbard model briefly described. We point out that the critical behavior at the transition, as well as the prediction by the RPA theory of a gapped mode (besides the Bogoliubov sound mode) in the superfluid phase, are...

Spin Effects Near the Superconductor-Insulator Transition

The Superconductor Insulator Transition

As the thickness or magnetic field is varied in thin films a transition between superconducting and insulating phases takes place. This quantum phase transition obeys scaling relations and occurs at seemingly universal critical resistance. This paper reviews experiments that demonstrate this transition and measure the critical exponents. The microscopic theories are outlined and lead to differe...

Compensation-driven superconductor-insulator transition

The superconductor-insulator transition in the presence of strong compensation of dopants was recently realized in La doped yttrium barium copper oxide. The compensation of acceptors by donors makes it possible to change independently the concentration of holes n and the total concentration of charged impurities N. We propose a theory of the superconductor-insulator phase diagram in the N ,n pl...

Controlling spin exchange interactions of ultracold atoms in optical lattices.

We describe a general technique that allows one to induce and control strong interaction between spin states of neighboring atoms in an optical lattice. We show that the properties of spin exchange interactions, such as magnitude, sign, and anisotropy, can be designed by adjusting the optical potentials. We illustrate how this technique can be used to efficiently "engineer" quantum spin systems...