Feshbach Molecules in a One-dimensional Optical Lattice
arXiv:0708.2329 · doi:10.1103/PhysRevA.77.021601
Abstract
We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the continuum band and the discrete bound states outside the band. We identify a Fano resonance profile, and the survival probability of a molecule when swept through the Bloch band of scattering states by varying an applied magnetic field. We discuss how these results may be used to investigate the importance of the structured nature of the continuum in experiments.
4 pages, 3 figures
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Cited by in corpus (17)
- Feshbach Resonances in Ultracold Gases
- Fano resonances in nanoscale structures
- Ultracold bosons with short-range interaction in regular optical lattices
- Two-channel Feshbach physics in a structured continuum
- Dimer of two bosons in a one-dimensional optical lattice
- Lattice Induced Resonances in One Dimensional Bosonic Systems
- Scattering and binding of different atomic species in a one-dimensional optical lattice
- Energetically constrained co-tunneling of cold atoms
- Bound states of two bosons in an optical lattice near an association resonance
- Quantum interference-induced stability of repulsively bound pairs of excitations
- Forming doublons by a quantum quench
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- One- and two-atom states in a rotating ring lattice
- Hybrid atom-molecule quantum walks in one-dimensional optical lattice