Caption: Evolution of two-body as interactions are tuned in the attractive region. The calculations correspond to a 21-site lattice with periodic boundary conditions and V₀= 20E_r.Blue symbols correspond the numerical spectrum which describes both two-body scattering states and bound states. Colored regions correspond to the analytical solutions for an infinite lattice of the(0,0) (green) and (1,0) (red) scattering continuum bands. The plot label λ=... indicates the interaction strength at the corresponding snapshot.The right panel shows in more detail the (0,0) scattering continuum region where resonances occur.

Auxiliary Material for:

 

“Lattice Induced Resonances in One Dimensional Bosonic Systems”