title: Bound states and scattering resonances induced by spatially modulated interactions.
abstract: We study the two-body problem with a spatially modulated interaction potential using a two-channel model, in which the interchannel coupling is provided by an optical standing wave and its strength modulates periodically in space. As the modulation amplitudes increase, there will appear a sequence of bound states. Part of them will cause a divergence of the effective scattering length, defined through the phase shift in the asymptotic behavior of scattering states. We also discuss how the local scattering length, defined through short-range behavior of scattering states, modulates spatially in different regimes. These results provide a theoretical guideline for a new control technique in the cold atom toolbox, in particular, for alkaline-earth(-like) atoms where the inelastic loss is small.
authors: Institute for Advanced Study, Tsinghua University, Beijing, China.
authors: Ran
authors: R
authors: Qi
authors: Hui
authors: H
authors: Zhai