Cyclic Lattice Feshbach Resonances

In this Letter we illustrate the possible cyclic fermion pairing states across Feshbach resonances in optical lattices. In cyclic fermion pairing, the pairing amplitude exhibits an oscillatory behavior as the detuning varies. We estimate the quasi-particle gaps in different regimes of the resonances.Comment: 4 pages, 2 figures included;two typos correcte

Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices

We present microscopic wave functions of spin singlet Mott insulating states and nematic Mott insulating states. We also investigate quantum phase transitions between the spin singlet Mott phase and the nematic Mott phase in both large-N limit and small-N limit (N being the number of particles per site) in high dimensional bipartite lattices. In the mean field approximation employed in this article we find that phase transitions are generally weakly first order.Comment: 8 pages, 6 figures; final version, to appear in PR