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Composite object dynamics in interacting 1D lattice systems: propagation, locking, and scattering
Masud Haque, MPIPKS, Dresden
In one-dimensional lattice systems, I will present results on the dynamics of composite objects such as repulsively bound pairs, triplets and clusters. Highlights are: [A] a dramatic series of dynamics-suppression effects near edges or geometric features, associated with fractal structures in the energy spectrum; [B] dynamical `scattering’ protocols which display visually obvious differences between integrable and non-integrable systems.
Versions of these phenomena appear in (1) the Bose-Hubbard model; (2) the spinless fermion model with nearest neighbor repulsion; (3) the XXZ spin chain; (4) the fermionic Hubbard chain.