55 research outputs found
Comment on "Feshbach resonances in an optical lattice" by D. B. M. Dickerscheid, U. Al Khawaja, D. van Oosten, and H. T. C. Stoof, Phys. Rev. A 71, 043604 (2005)
We point out some logical inconsistencies in the model proposed in [Phys.
Rev. A 71, 043604 (2005)] as well as in the calculations performed on it. The
proposed model is not able to describe Feshbach resonances in optical lattices
Fermions in Optical Lattices across Feshbach Resonance
We point out that the recent experiments at ETH \cite{Esslinger} on fermions
in optical lattices, where a band insulator evolves continuously into states
occupying many bands as the system is swept adiabatically across Feshbach
resonance, have implications on a wide range of fundamental issues in condensed
matter. We derive the effective Hamiltonian of these systems, obtain
expressions for their energies and band populations, and point out the
increasing quantum entanglement of the ground state during the adiabatic sweep.
Our results also explains why only specific regions in -space can be
populated after the sweep as found in ref. \cite{Esslinger}
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