%0 Journal Article %J Physical Review A %D 2012 %T Resonant control of polar molecules in an optical lattice %A Thomas M. Hanna %A Eite Tiesinga %A William F. Mitchell %A Paul S. Julienne %X We study the resonant control of two nonreactive polar molecules in an optical lattice site, focussing on the example of RbCs. Collisional control can be achieved by tuning bound states of the intermolecular dipolar potential, by varying the applied electric field or trap frequency. We consider a wide range of electric fields and trapping geometries, showing that a three-dimensional optical lattice allows for significantly wider avoided crossings than free space or quasi-two dimensional geometries. Furthermore, we find that dipolar confinement induced resonances can be created with reasonable trapping frequencies and electric fields, and have widths that will enable useful control in forthcoming experiments. %B Physical Review A %V 85 %8 2012/2/8 %G eng %U http://arxiv.org/abs/1111.0227v1 %N 2 %! Phys. Rev. A %R 10.1103/PhysRevA.85.022703 %0 Journal Article %J New Journal of Physics %D 2007 %T Effective-range description of a Bose gas under strong one- or two-dimensional confinement %A Pascal Naidon %A Eite Tiesinga %A William F. Mitchell %A Paul S. Julienne %X We point out that theories describing s-wave collisions of bosonic atoms confined in one- or two-dimensional geometries can be extended to much tighter confinements than previously thought. This is achieved by replacing the scattering length by an energy-dependent scattering length which was already introduced for the calculation of energy levels under 3D confinement. This replacement accurately predicts the position of confinement-induced resonances in strongly confined geometries. %B New Journal of Physics %V 9 %P 19 - 19 %8 2007/01/29 %G eng %U http://arxiv.org/abs/physics/0607140v2 %N 1 %! New J. Phys. %R 10.1088/1367-2630/9/1/019