Frustrated collisions and unconventional pairing on a quantum superlattice
arXiv:1004.4470 · doi:10.1209/0295-5075/92/10001
Abstract
We solve the problem of scattering and binding of two spin-1/2 fermions on a one-dimensional superlattice with a period of twice the lattice spacing analytically. We find the exact bound states and the scattering states, consisting of a generalized Bethe ansatz augmented with an extra scattering product due to "asymptotic" degeneracy. If a Bloch band is doubly occupied, the extra wave can be a bound state in the continuum corresponding to a single-particle interband transition. In all other cases, it corresponds to a quasi-momentum changing, frustrated collision.
4 pages, 2 figures
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- Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
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- Quasi-one-dimensional scattering in a discrete model
- Entanglement enhancement in spatially inhomogeneous many-body systems
- Time-dependent spectral properties of photoexcited one-dimensional ionic Hubbard model: an exact diagonalization study
- Doublon dynamics of Bose-Fermi mixtures in optical lattices
- Few-Body Route to One-Dimensional Quantum Liquids