Spatially Modulated Interaction Induced Bound States and Scattering Resonances
arXiv:1101.4464 · doi:10.1103/PhysRevLett.106.163201
Abstract
We study the two-body problem with a spatially modulated interaction potential using a two-channel model, in which the inter-channel coupling is provided by an optical standing wave and its strength modulates periodically in space. As the modulation amplitudes increases, there will appear a sequence of bound states. Part of them will cause 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 new control technique in cold atom toolbox, in particular, for alkali-earth-(like) atoms where the inelastic loss is small.
5 pages, 5 figures
References in corpus (7)
- Many-Body Physics with Ultracold Gases
- Tuning the scattering length with an optically induced Feshbach resonance
- Nanometer-scale spatial modulation of an inter-atomic interaction in a Bose-Einstein condensate
- Controlling a magnetic Feshbach resonance with laser light
- Universal Fermi gases in mixed dimensions
- Microscopic derivation of Hubbard parameters for cold atomic gases
- Resonance Scattering in Optical Lattices and Molecules: Interband versus Intraband Effects
Cited by in corpus (12)
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- Center-of-mass-momentum-dependent interaction between ultracold atoms
- Center of Mass Momentum Dependent Interaction Between Ultracold Atoms
- Universal Feature in Optical Control of a p-wave Feshbach Resonance
- Tuning a magnetic Feshbach resonance with spatially modulated laser light
- Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror
- Solitons in a Hamiltonian -symmetric coupler
- Tailoring Metal Insulator Transitions Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
- Swallowtail Structure in Fermi Superfluids with Periodically Modulated Interactions
- Probing Sound Speed of an Optically-Trapped Bose Gas with Periodically Modulated Interactions by Bragg Spectroscopy