Bound States and Scattering Resonances Induced by Spatially Modulated Interactions

作者:Qi Ran*; Zhai Hui
来源:Physical Review Letters, 2011, 106(16): 163201.
DOI:10.1103/PhysRevLett.106.163201

摘要

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.

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